QUALITY MANAGEMENT MCQ FOR SAIL MT ADMIN MATERIALS

<h4> <span class="Apple-tab-span" style="white-space: pre;"> </span>Question 1.<br />Which of the following chart types would be used to monitor the average weight of the contents of a box of cereal?</h4> <ol> <li><span style="color: red;"><img alt="17_x.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_x.gif" style="background-color: #f5f3f3; font-family: Verdana, Arial, sans-serif; font-size: 12px; font-style: italic; line-height: 18px;" />-chart</span></li> <li>R-chart</li> <li>p-chart</li> <li>c-chart</li> <li>none of the above</li> </ol> <h4> Question 2.<br />Which of the following chart types would be used to monitor the fraction of a production lot of desktops that had scratches on the surface?</h4> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span><img alt="17_x.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_x.gif" style="background-color: #f5f3f3; font-family: Verdana, Arial, sans-serif; font-size: 12px; font-style: italic; line-height: 18px;" />-chart</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>R-chart</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>p-chart</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>c-chart</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above</li> </ol> <h4> Question 3.<br />Which of the following chart types would be used to monitor the range of the diameter of forged steel rods within a production lot?</h4> <ol> <li>        <img alt="17_x.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_x.gif" style="background-color: #f5f3f3; font-family: Verdana, Arial, sans-serif; font-size: 12px; font-style: italic; line-height: 18px;" />-chart</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>R-chart</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>p-chart</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>c-chart</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above</li> </ol> <h4> Question 4.<br />Which of the following chart types would be used to monitor the number of errors per page in a printed document?</h4> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span><img alt="17_x.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_x.gif" style="background-color: #f5f3f3; font-family: Verdana, Arial, sans-serif; font-size: 12px; font-style: italic; line-height: 18px;" />-chart</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>R-chart</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>p-chart</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>c-chart</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above</li> </ol> <h4> Question 5.<br />Natural variations are the many sources of variation within a process that</h4> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>are not perfect.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>have several assignable causes of variation.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>are out of control.</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>are in statistical control.</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above</li> </ol> <h4> Question 6.<br />Who of the following individuals was credited for making the distinction between common and special causes of variation?</h4> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>Juran</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>Deming</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>Shewart</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span> DuPont</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above</li> </ol> <h4> Question 7.<br />We use control charts to monitor</h4> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>random variation.</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>assignable variation.</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>natural variation.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>all of the above.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above.</li> </ol> <h4> Question 8.<br />Assignable variations may be due to</h4> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>variations in raw materials.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>limitations of the process.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>limitations in the skills of the operator.</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>all of the above.</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above.</li> </ol> <h4> Question 9.<br />If the average of the samples falls within the upper and lower tolerance limits, then</h4> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the process is out of control.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the process is unequivocally in control.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the process is said to be normal.</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>the process may or may not be in control.</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above</li> </ol> <h4> Question 10.<br />p-charts are based on the</h4> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>normal distribution.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>Poisson distribution.</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>binomial distribution.</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>negative exponential distribution.</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>none of the above<span style="white-space: pre;"> </span></li> </ol> <div> <h4> An R-chart is used to monitor ________.</h4> <div> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the average number of defects per unit</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>the range of a measured variable</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the average of a measured variable</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the number of defects per unit of outputs</li> </ol> </div> <h4> An  <img alt="17_x.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_x.gif" />-chart is used to monitor _______.</h4> <div> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the range of a measured variable</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the average number of defects per unit</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span><span style="color: red;">the average of a measured variable</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the number of defects per unit of outputs</li> </ol> </div> <h4> A p-chart is used to monitor _________.</h4> <div> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the range of a measured variable</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the number of defects per unit of outputs</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the average number defective in a production lot</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>the fraction defective of a production lot</span></li> </ol> </div> <h4> A c-chart is used to monitor _________.</h4> <div> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the average value of a measured variable</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the fraction defective in a production lot</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>the number defective in a production lot</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>the range of a measured variable</li> </ol> </div> <h4> If we want to use a sample size of 10 and establish a 317_s.gif limit for a range chart, the UCLR will be given by _______.</h4> <div> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>2.75417<img alt="17_r.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_r.gif" /></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>2.00417<img alt="17_r.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_r.gif" /></li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>1.77717<img alt="17_r.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_r.gif" /></span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>2.11417<img alt="17_r.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_r.gif" /></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>1.58617<img alt="17_r.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_r.gif" /></li> </ol> </div> <h4> If the process standard deviation is difficult to compute, we calculate the upper control limit for an 17_x.gif-chart as _________.</h4> <div> <ol> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;">( </span><img alt="17_7a.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_7a.gif" />)</span></li> <li>        <img alt="17_7b.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_7b.gif" /></li> <li>        <img alt="17_7c.gif" src="http://wps.prenhall.com/wps/media/objects/2497/2557002/Images/17_7c.gif" /></li> </ol> </div> <h4> ________ refers to a quality emphasis that encompasses the entire organization.</h4> <div> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>QFM</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>SQC</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span><span style="color: red;">TQM</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>VQM</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>BQM</li> </ol> </div> <h4> A control chart for the number of defects per unit is based on the _________ distribution.</h4> <div> <ol> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>Poisson</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>normal</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>beta</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>binomial</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>uniform</li> </ol> </div> <h4> A company is producing hula hoops. The average diameter of the hula hoops is 36 inches. Five hoops are inspected and the range is determined. The average range for all samples is 3 inches. The upper limit for the R-chart would be ______. <span class="Apple-tab-span" style="white-space: pre;"> </span></h4> <div> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>7.32 inches</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>6.34 inches</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>6.17 inches</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>6.01 inches</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>6.85 inches</li> </ol> </div> <h4> The ____________ is the statistical foundation of control charts for variables.</h4> <div> <ol> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>Poisson distribution</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>binomial distribution</li> <li><span style="color: red;"><span class="Apple-tab-span" style="white-space: pre;"> </span>central limit theorem</span></li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>DuPont research</li> <li><span class="Apple-tab-span" style="white-space: pre;"> </span>beta distribution</li> </ol> </div> <div> <br /></div> <div> <span class="Apple-tab-span" style="white-space: pre;"> </span></div> </div> <br /> <div> <br /></div>

HOME SAIL MT ADMIN QUALITY MANAGEMENT MCQ FOR SAIL MT ADMIN MATERIALS

Question 1. Which of the following chart types would be used to monitor the average weight of the contents of a box of cereal? -chart R...

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Operation Research MCQ for SAIL MT Materials

<div dir="ltr" style="text-align: left;" trbidi="on"> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q1. When the problem involves the allocation of n different </span><span style="font-size: 14pt;">facilities to n different tasks, it is often termed as </span><span style="font-size: 14pt;">an ….....................</span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(a) Transportation problem<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(b) Game theory.<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(c) Integer programming problem<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">(d) Assignment problem<o:p></o:p></span></b></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q2. When there is no column and no row without assignment. In </span><span style="font-size: 14pt;">such case, the current assignment is…………………..</span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(a) Maximum<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">(b) Optimal<o:p></o:p></span></b></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(c) Minimum<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(d) Zero<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q3.  Not returning to the node already passed through or passing </span><span style="font-size: 14pt;">through every node once and only once. Problem of such type </span><span style="font-size: 14pt;">are called as ……………….</span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(a) Assignment problem<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(b) Transportation problem<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(c) I.P.P<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">(d) Routing problem<o:p></o:p></span></b></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q4. (i) N = n. then assignment is optimal<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">       (ii) N<n. then assignment is ………………..<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(a) less<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(b) More<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(c) Equal<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">(d) Not optimal<o:p></o:p></span></b></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q5.An assignment problem can be formulated as a linear </span><span style="font-size: 14pt;">programming problem, it is solved by special method know </span><span style="font-size: 14pt;">as…………….</span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(a) Gomary,s method<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">(b) Hungarian method</span></b><span style="font-size: 14.0pt;"><o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(c) Branch and bound method<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(d) Queuing model</span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q6. Consider the problem of assigning five jobs to five person. </span><span style="font-size: 14pt;">The assignment costs are given as follows:-</span></div> <table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt;"> <tbody> <tr style="height: 20.25pt; mso-row-margin-left: 95.4pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="border-bottom: solid windowtext 1.0pt; border: none; mso-cell-special: placeholder;" width="127"><div class="MsoNormal"> <br /></div> </td> <td colspan="5" style="border: solid windowtext 1.0pt; height: 20.25pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 315.0pt;" valign="top" width="420"><div class="MsoNormal"> <span style="font-size: 14.0pt;">                   Job<o:p></o:p></span></div> </td> </tr> <tr style="height: 33.25pt; mso-yfti-irow: 1;"> <td style="border-top: none; border: solid windowtext 1.0pt; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal"> <span style="font-size: 14.0pt;">Persons <o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">1<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">2<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">3<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">4<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">5<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal"> <span style="font-size: 14.0pt;">A<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">8<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">4<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">2<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">6<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">1<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal"> <span style="font-size: 14.0pt;">B<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">0<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">9<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">5<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">5<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">4<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal"> <span style="font-size: 14.0pt;">C<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">3<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">8<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">9<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">2<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">6<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal"> <span style="font-size: 14.0pt;">D<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">4<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">3<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">1<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">0<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">3<o:p></o:p></span></div> </td> </tr> <tr style="height: 28.75pt; mso-yfti-irow: 6; mso-yfti-lastrow: yes;"> <td style="border-top: none; border: solid windowtext 1.0pt; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal"> <span style="font-size: 14.0pt;">E<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">9<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">5<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">8<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">9<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">5<o:p></o:p></span></div> </td> </tr> </tbody></table> <div class="MsoNormal"> <span style="font-size: 14pt;">Determine the optimum assignment cost.</span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(a) 10<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(b) 8<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">(c) 9<o:p></o:p></span></b></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(d) 11<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q7. Four jobs are to be done on four different machines. The cost in (rupees) </span><span style="font-size: 14pt;">of producing  ith  on the  jth  machines is given below.</span></div> <table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 23.4pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt;"> <tbody> <tr style="height: 21.0pt; mso-row-margin-left: 97.95pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="border-bottom: solid windowtext 1.0pt; border: none; mso-cell-special: placeholder;" width="131"><div class="MsoNormal"> <br /></div> </td> <td colspan="4" style="border: solid windowtext 1.0pt; height: 21.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 317.0pt;" valign="top" width="423"><div class="MsoNormal"> <span style="font-size: 14.0pt;">                          MACHINES<o:p></o:p></span></div> </td> </tr> <tr style="height: 30.55pt; mso-yfti-irow: 1;"> <td style="border-top: none; border: solid windowtext 1.0pt; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal"> <span style="font-size: 14.0pt;">JOBS<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal"> <span style="font-size: 14.0pt;">M1<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal"> <span style="font-size: 14.0pt;">M2<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">M3<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">M4<o:p></o:p></span></div> </td> </tr> <tr style="height: 16.75pt; mso-yfti-irow: 2;"> <td style="border-top: none; border: solid windowtext 1.0pt; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal"> <span style="font-size: 14.0pt;">J1<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal"> <span style="font-size: 14.0pt;">15<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal"> <span style="font-size: 14.0pt;">11<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">13<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">15<o:p></o:p></span></div> </td> </tr> <tr style="height: 17.55pt; mso-yfti-irow: 3;"> <td style="border-top: none; border: solid windowtext 1.0pt; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal"> <span style="font-size: 14.0pt;">J2<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal"> <span style="font-size: 14.0pt;">17<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal"> <span style="font-size: 14.0pt;">12<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">12<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">13<o:p></o:p></span></div> </td> </tr> <tr style="height: 16.75pt; mso-yfti-irow: 4;"> <td style="border-top: none; border: solid windowtext 1.0pt; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal"> <span style="font-size: 14.0pt;">J3<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal"> <span style="font-size: 14.0pt;">14<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal"> <span style="font-size: 14.0pt;">15<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">10<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">14<o:p></o:p></span></div> </td> </tr> <tr style="height: 17.55pt; mso-yfti-irow: 5; mso-yfti-lastrow: yes;"> <td style="border-top: none; border: solid windowtext 1.0pt; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal"> <span style="font-size: 14.0pt;">J4<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal"> <span style="font-size: 14.0pt;">16<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal"> <span style="font-size: 14.0pt;">13<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">11<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal"> <span style="font-size: 14.0pt;">17<o:p></o:p></span></div> </td> </tr> </tbody></table> <div class="MsoNormal"> <span style="font-size: 14pt;">Assign the jobs to different machines so a to minimize the total cost.</span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(a) 50<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(b) 52<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">(c) 54<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">(d) 49</span></b><br /> <b><span style="font-size: 14.0pt;"><br /></span></b></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q8.As the no. of persons is the same as the number of jobs, ……………</span><span style="font-size: 14pt;">is said to be balanced.</span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">    (a) Assignment problem<o:p></o:p></span></b></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (b) Hungarian method<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (c) L.P.P<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (d) Transportation problem<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q9. A marketing manager has 5 salesmen and 5 sales districts. Considering </span><span style="font-size: 14pt;">the capabilities of the salesman and the nature of districts, the marketing </span><span style="font-size: 14pt;">manager estimates that sales per month (in hundred rupees) for each </span><span style="font-size: 14pt;">salesmen in each district would be as follows.</span></div> <table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: .5in; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; width: 559px;"> <tbody> <tr style="height: 15.75pt; mso-row-margin-left: 81.0pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="border-bottom: solid windowtext 1.0pt; border: none; mso-cell-special: placeholder;" width="108"><div class="MsoNormal"> <br /></div> </td> <td colspan="5" style="border: solid windowtext 1.0pt; height: 15.75pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 4.7in;" valign="top" width="451"><div class="MsoNormal"> <span style="font-size: 14.0pt;">                           Sales districts<o:p></o:p></span></div> </td> </tr> <tr style="height: 28.75pt; mso-yfti-irow: 1;"> <td style="border-top: none; border: solid windowtext 1.0pt; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal"> <span style="font-size: 14.0pt;">Salesman<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">A<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">B<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">C<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">D<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal"> <span style="font-size: 14.0pt;">E<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal"> <span style="font-size: 14.0pt;">1<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">32<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">38<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">40<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">28<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal"> <span style="font-size: 14.0pt;">40<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal"> <span style="font-size: 14.0pt;">2<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">40<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">24<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">28<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">21<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal"> <span style="font-size: 14.0pt;">36<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal"> <span style="font-size: 14.0pt;">3<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">41 <o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">27<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">33<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">30<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal"> <span style="font-size: 14.0pt;">37<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal"> <span style="font-size: 14.0pt;">4<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">22<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">38<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">41<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">36<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal"> <span style="font-size: 14.0pt;">36<o:p></o:p></span></div> </td> </tr> <tr> <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal"> <span style="font-size: 14.0pt;">5<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">29<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">33<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal"> <span style="font-size: 14.0pt;">40<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal"> <span style="font-size: 14.0pt;">35<o:p></o:p></span></div> </td> <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal"> <span style="font-size: 14.0pt;">39<o:p></o:p></span></div> </td> </tr> </tbody></table> <div class="MsoNormal"> <span style="font-size: 14pt;">Find the assignment of salesman to districts that will result in maximum sales. So the maximum sales is………………</span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (a) 20001<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">    (b) 19100<o:p></o:p></span></b></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (c) 18200<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (d) 20100<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q10………..is a special case of L.P.P where all or some v</span><span style="font-size: 14pt;">ariables are constrained to assume non-negative integer values.</span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (a) Transportation problem<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (b) L.P.P<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (c) Gomory’s method<o:p></o:p></span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">    (d) I.P.P </span></b><span style="font-size: 14.0pt;"><o:p></o:p></span><br /> <b><span style="font-size: 14.0pt;"><br /></span></b></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q11………………problem has lot of applications in business and </span><span style="font-size: 14pt;">industry where quite often discrete nature of the variables is involved in </span><span style="font-size: 14pt;">many decision making situation.</span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">     (a) I.P.P<o:p></o:p></span></b></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">     (b) L.P.P<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">     (c) Assignment problem<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">     (d)Simplex method<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q12.If  all the variables are constrained to take only integral value i.e. k=n, it </span><span style="font-size: 14pt;">is  called an ………….. integer programming problem .</span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l5 level1 lfo1; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">one<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l5 level1 lfo1; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">many<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l5 level1 lfo1; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><b><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt; font-weight: normal;">   </span></span></b><!--[endif]--><b><span style="font-size: 14.0pt;">all(pure)<o:p></o:p></span></b></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l5 level1 lfo1; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">none          <o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q13.Only some of the variables are restricted to take integral value and rest </span><span style="font-size: 14pt;">(n-k) variables are free to take any non-negative values, then the </span><span style="font-size: 14pt;">problem is known as……………… integer programming problem.</span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">single<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><b><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt; font-weight: normal;"> </span></span></b><!--[endif]--><b><span style="font-size: 14.0pt;">mixed<o:p></o:p></span></b></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">both (a) and (b)<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">none of these<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q14. Find the optimum integer solution to the following all I.P.P.<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">        Maximize            z=X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">+2X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;"><o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">       Subject to the constraints<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">                                    X</span><span style="font-size: 8.0pt;">1 </span><span style="font-size: 14.0pt;">+ X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">   ≤ 7<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">                                   2X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">          ≤ 11<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">                                           2X</span><span style="font-size: 8.0pt;">2  </span><span style="font-size: 14.0pt;">≤ 7<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">                                     X</span><span style="font-size: 8.0pt;">1,</span><span style="font-size: 14.0pt;"> X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">   ≥ 0 and are integers<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">The integer optimum solution to the IPP is…………………..</span></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">    (a) X</span></b><b><span style="font-size: 8.0pt;">1</span></b><b><span style="font-size: 14.0pt;">=4, X</span></b><b><span style="font-size: 8.0pt;">2</span></b><b><span style="font-size: 14.0pt;">=3 <o:p></o:p></span></b></div> <div class="MsoNormal"> <b><span style="font-size: 14.0pt;">        And max Z=10<o:p></o:p></span></b></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">    (b) X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">=6, X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=2<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">         And max Z=9<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">     (c) X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">=3, X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=4<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">         And max Z=11<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(e)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">None of these.<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q15 Use branch and bound technique to solve the following I.P.P.<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">          Maximize                 Z=7x</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">+9x</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;"> ------------------------- (1)<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">                Subject to the constraints<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 151.5pt;"> <span style="font-size: 14.0pt;">     -x</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;"> + 3x</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">≤ 6------------------------- (2)<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 151.5pt;"> <span style="font-size: 14.0pt;">     7x</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">+ x</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;"> ≤ 35<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 151.5pt;"> <span style="font-size: 14.0pt;">     0≤ x</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">, x</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;"> ≤ 7----------------------- (3)<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">                                 X1, x2 are integers --------------------- (4) <o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Hence the optimum integer solution to the given I.P.P. is</span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l2 level1 lfo3; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><b><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><!--[endif]--><b><span style="font-size: 14.0pt;">Zo=55, X</span></b><b><span style="font-size: 8.0pt;">1</span></b><b><span style="font-size: 14.0pt;">=4, X</span></b><b><span style="font-size: 8.0pt;">2</span></b><b><span style="font-size: 14.0pt;">=3<o:p></o:p></span></b></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l2 level1 lfo3; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">Zo=45, X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">= 6, X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=2<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l2 level1 lfo3; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">Both (a) and(b)<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l2 level1 lfo3; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">None of these<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q16. Use branch and bound techniques to solve the following problems<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">                Max Z=3X1+3X2+13X3<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">          Subject to <o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 151.5pt;"> <span style="font-size: 14.0pt;">     -3X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;"> +6X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">+7X</span><span style="font-size: 8.0pt;">3</span><span style="font-size: 14.0pt;">≤8<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 151.5pt;"> <span style="font-size: 14.0pt;">     6X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">-3X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">+7X</span><span style="font-size: 8.0pt;">3</span><span style="font-size: 14.0pt;">≤ 8<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 151.5pt;"> <span style="font-size: 14.0pt;">     0≤Xj≤5<o:p></o:p></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">                               And Xj are integer j=1, 2, 3</span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l0 level1 lfo4; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><b><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><!--[endif]--><b><span style="font-size: 14.0pt;">X</span></b><b><span style="font-size: 8.0pt;">1</span></b><b><span style="font-size: 14.0pt;">=X</span></b><b><span style="font-size: 8.0pt;">2</span></b><b><span style="font-size: 14.0pt;">=0, X</span></b><b><span style="font-size: 8.0pt;">3</span></b><b><span style="font-size: 14.0pt;">=1, Z*=13<o:p></o:p></span></b></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l0 level1 lfo4; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">=X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=2, X</span><span style="font-size: 8.0pt;">3</span><span style="font-size: 14.0pt;">=0, Z*=14<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l0 level1 lfo4; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">=1,X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=0, X</span><span style="font-size: 8.0pt;">3</span><span style="font-size: 14.0pt;">=0, Z*=10<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l0 level1 lfo4; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">None of these<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q17 ………………… are the two algorithms to determine the optimal </span><span style="font-size: 14pt;">solution for an integer programming problem.</span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l3 level1 lfo5; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">Simplex and branch and bound method<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l3 level1 lfo5; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">Branch and bound and simulation method<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l3 level1 lfo5; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">Cutting plane algorithm and branch and bound  algorithm<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l3 level1 lfo5; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">None of these.</span><br /> <span style="font-size: 14.0pt;"><br /></span></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q18. Cutting plane algorithms is devised by………………</span></div> <div class="MsoNormal" style="margin-left: 37.5pt; mso-list: l6 level1 lfo6; tab-stops: list 37.5pt; text-indent: -19.5pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">Land and Doig<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 37.5pt; mso-list: l6 level1 lfo6; tab-stops: list 37.5pt; text-indent: -19.5pt;"> <!--[if !supportLists]--><b><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><!--[endif]--><b><span style="font-size: 14.0pt;">Gomory<o:p></o:p></span></b></div> <div class="MsoNormal" style="margin-left: 37.5pt; mso-list: l6 level1 lfo6; tab-stops: list 37.5pt; text-indent: -19.5pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">Both (a) and (b)<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 37.5pt; mso-list: l6 level1 lfo6; tab-stops: list 37.5pt; text-indent: -19.5pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">None of these<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q19. branch and bound algorithm is developed by………………..</span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l1 level1 lfo7; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><b><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><!--[endif]--><b><span style="font-size: 14.0pt;">Land and Doig<o:p></o:p></span></b></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l1 level1 lfo7; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">Erlang<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l1 level1 lfo7; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">Both (a) and (b)<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l1 level1 lfo7; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">None of these<o:p></o:p></span></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <span style="font-size: 14.0pt;">Q20. In the optimum solution if all the variables have ………….. values, </span><span style="font-size: 14pt;">the current solution will be desired optimum integer solution.</span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l4 level1 lfo8; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><b><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><!--[endif]--><b><span style="font-size: 14.0pt;">Integer<o:p></o:p></span></b></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l4 level1 lfo8; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">Positive <o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l4 level1 lfo8; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><!--[endif]--><span style="font-size: 14.0pt;">Negative<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l4 level1 lfo8; tab-stops: list 36.75pt; text-indent: -18.75pt;"> <!--[if !supportLists]--><span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><!--[endif]--><span style="font-size: 14.0pt;">None of these.<o:p></o:p></span></div> <div class="MsoNormal" style="margin-left: .25in;"> <br /></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal"> <br /></div> <div class="MsoNormal" style="margin-left: .25in;"> <br /></div> <div class="MsoNormal"> <br /></div> <br /> <div class="MsoNormal" style="margin-left: .25in;"> <br /></div> </div>

HOME SAIL MT ADMIN Operation Research MCQ for SAIL MT Materials

Q1. When the problem involves the allocation of n different  facilities to n different tasks, it is often termed as  an …....................

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SAIL Management Trainee Recruitment 2014 - Syllabus and Exam Pattern

<div dir="ltr" style="text-align: left;" trbidi="on"> <h2 style="text-align: left;"> <span style="font-family: Arial, Helvetica, sans-serif;">Exam Pattern of SAIL Management Trainee Recruitment </span></h2> <span style="font-family: Arial, Helvetica, sans-serif;">Eligible candidates will be required to appear in a written examination. After clearing written test candidates will go through an interview and group discussion round.  </span><br /> <span style="font-family: Arial, Helvetica, sans-serif;"><br /></span> <span style="font-family: Arial, Helvetica, sans-serif;">The written exam for both the posts above mentioned will be held on same day as per the following schedule</span><br /> <span style="font-family: Arial, Helvetica, sans-serif;">1. For MT (Technical) - in the Forenoon session  </span><br /> <span style="font-family: Arial, Helvetica, sans-serif;">2. For MT (Admin) - in the Afternoon session</span><br /> <span style="font-family: Arial, Helvetica, sans-serif;"><br /></span> <span style="font-family: Arial, Helvetica, sans-serif;">Candidates can apply and compete for both the post of management trainee.</span><br /> <h3 style="background-color: white; font-size: 13px; padding: 10px 0px; text-align: left;"> SAIL MT EXAM PATTERN:</h3> <table border="1" style="background-color: white; border-collapse: collapse; border-spacing: 0px; border-width: 2px; color: black; font-size: 13px; margin: 0px; padding: 0px;"><tbody style="margin: 0px; padding: 0px;"> <tr style="margin: 0px; padding: 0px;"><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Part</span></strong></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Subject</span></strong></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Max. Marks</span></strong></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Time Allotted</span></strong></td></tr> <tr style="margin: 0px; padding: 0px;"><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">01</span></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Domain knowledge test</span></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">100</span></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">75 min.</span></strong></td></tr> <tr style="margin: 0px; padding: 0px;"><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="font-family: Arial, Helvetica, sans-serif;">02</span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="font-family: Arial, Helvetica, sans-serif;">Aptitude test<br style="margin: 0px; padding: 0px;" />Part A- Quantitative Aptitude (25 marks)<br style="margin: 0px; padding: 0px;" />Part B- Verbal ability (25 marks)<br style="margin: 0px; padding: 0px;" />Part C- Reasoning (25 marks)<br style="margin: 0px; padding: 0px;" />Part D- General awareness (25 marks)</span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">100</span></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">75 min.</span></strong></td></tr> </tbody></table> <h3> <span style="font-family: Arial, Helvetica, sans-serif;"><br /></span><span style="font-family: Arial, Helvetica, sans-serif;">SAIL MT ADMIN MATERIAL/OPERATIONS SYLLABUS:</span></h3> <div> <ul style="text-align: left;"> <li><span style="font-family: Arial, Helvetica, sans-serif;">Operation Research</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Project Management</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Management Control Systems</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Production & Operations Management</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Team Building in Organization</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Management Process & Organizational Behaviour</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Total Quality Management</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Statistical Quality Control</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Six Sigma Metrics</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Inventory Management</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Material Management</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Plant Location & Layout</span></li> <li><span style="font-family: Arial, Helvetica, sans-serif;">Product Management</span></li> </ul> </div> </div>

HOME SAIL MT ADMIN SAIL Management Trainee Recruitment 2014 - Syllabus and Exam Pattern

Exam Pattern of SAIL Management Trainee Recruitment  Eligible candidates will be required to appear in a written examination. After clear...

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BPMN Modelling Elements

<div dir="ltr" style="text-align: left;" trbidi="on"> <h2 style="text-align: left;"> <b>Basic BPMN Modelling Elements</b></h2> <div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiniYRe9YVyZ8ok7UpLtY0GeAWJI2jBZFn1OkRdQen3gV173aSX8xl8DLXMOFfgoSkvyaiXLCgtikL8BzDB7hbV4nthf6KC6N4v84004xEBjsEAg9u8IripenTY_wQVzxQM8te-RIYfX4g/s1600/6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="112" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiniYRe9YVyZ8ok7UpLtY0GeAWJI2jBZFn1OkRdQen3gV173aSX8xl8DLXMOFfgoSkvyaiXLCgtikL8BzDB7hbV4nthf6KC6N4v84004xEBjsEAg9u8IripenTY_wQVzxQM8te-RIYfX4g/s1600/6.jpg" width="640" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdW1w1RymwUh11GnypxBvFuiNLiiG4R1DHW3SQ0Iw96oNJ7gXXegtP9vZf1c1ofqi2TLjVBSsAMfSRiouBphObWzbA4s__ve4RQqr_sSAzvqk3RRnX3wlx3tkXw5M9WK6llub-Ar-j_mc/s1600/7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdW1w1RymwUh11GnypxBvFuiNLiiG4R1DHW3SQ0Iw96oNJ7gXXegtP9vZf1c1ofqi2TLjVBSsAMfSRiouBphObWzbA4s__ve4RQqr_sSAzvqk3RRnX3wlx3tkXw5M9WK6llub-Ar-j_mc/s1600/7.jpg" width="640" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnS3AqZXQ34UWnmGE7L5XHWiEV5ocy4mLdmb2-T3I_cmb9EM0fx8csfe9BCM6py0oeYpkYJbc4MRecXkBFtxLVcU5XHWjc0giRKIYcirq-TijD8g6MoX6tj_eLEHpPdvii-NhBHgqoFHw/s1600/8.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="349" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnS3AqZXQ34UWnmGE7L5XHWiEV5ocy4mLdmb2-T3I_cmb9EM0fx8csfe9BCM6py0oeYpkYJbc4MRecXkBFtxLVcU5XHWjc0giRKIYcirq-TijD8g6MoX6tj_eLEHpPdvii-NhBHgqoFHw/s1600/8.jpg" width="640" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_zd-oKDUnHVV9QydR1JFObfCD3zc2Gcfx6VQByALvfdi70F0qqkEbji6rmTH5OZJThhKJmpgipeUj0U6Z1HUzxMDDp3zuhc115nsr7H1jK2UoZsRCSzuIFfMREkf5VJKvtDVev2KsQhg/s1600/9.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="388" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_zd-oKDUnHVV9QydR1JFObfCD3zc2Gcfx6VQByALvfdi70F0qqkEbji6rmTH5OZJThhKJmpgipeUj0U6Z1HUzxMDDp3zuhc115nsr7H1jK2UoZsRCSzuIFfMREkf5VJKvtDVev2KsQhg/s1600/9.jpg" width="640" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMTNa1FLcv8hPVJMtmmXG_euWVqM2XgPqV23qEErqxZoY0Pc-6ep7VWBuAIK2G1Pt2nepjDmgIQWwHK4cI4UktsY6sJU-NkgLLTTOwn4UcX5NWyx3FO5WAq0B1s0QuqANPddR2h4dd3fE/s1600/10.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="392" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMTNa1FLcv8hPVJMtmmXG_euWVqM2XgPqV23qEErqxZoY0Pc-6ep7VWBuAIK2G1Pt2nepjDmgIQWwHK4cI4UktsY6sJU-NkgLLTTOwn4UcX5NWyx3FO5WAq0B1s0QuqANPddR2h4dd3fE/s1600/10.jpg" width="640" /></a></div> <br /> <div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilfMZrtnNMOATfAIdtaFOFmlvWxmiYpB2kod6uu3iDAjR-med5AvYmAW8GrQc99anKVuUqEt1DjPygOiivF9Mmpz1Rda1tEaPOX9w-e3dLkfxip1P7NY0aYRolWVXHnniFK4uxyzvjMaI/s1600/11.jpg" imageanchor="1" style="margin-left: 1em; 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