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This section includes 100 Mcqs, each offering curated multiple-choice questions to sharpen your Industrial Engineering knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
The minimum value of 3x + 5y |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | - 1 |
| Answer» B. 1 | |
| 52. |
The total number of decision variables in the objective function of an assignment problem of size n n{n jobs and n machines) is |
| A. | n |
| B. | 2n |
| C. | 2n 1 |
| D. | n |
| Answer» B. 2n | |
| 53. |
The unit worth of resource R |
| A. | 0 |
| B. | 1360 |
| C. | 1500 |
| D. | 2000 |
| Answer» B. 1360 | |
| 54. |
The annual demand for an item is 10,000 units. The unit cost is Rs. 100 and inventory carrying charges are 14.4% of the unit cost per annum. The cost of one procurement is Rs. 2000. The time between two consecutive orders to meet the above demand is ______, month(s). |
| A. | 2 weeks |
| B. | 3 weeks |
| C. | 3.5 weeks |
| D. | 2.5 weeks |
| Answer» B. 3 weeks | |
| 55. |
The standard deviation of linear dimensions P and O are 3 m and 4 m, respectively. When assembled, the standard deviation (in m) of the resulting linear dimension (P+ Q) is_____. |
| A. | 5 |
| B. | 6 |
| C. | 4 |
| D. | 3 |
| Answer» B. 6 | |
| 56. |
For the standard transportation linear program with m sources and n destinations and total supply equaling total demand, an optimal solution (lowest cost) with the smallest number of non-zero x |
| A. | m n |
| B. | 2(m + n) |
| C. | m + n. |
| D. | m + n 1 |
| Answer» D. m + n 1 | |
| 57. |
The problem of maximizing Z = x |
| A. | no solution |
| B. | one solution |
| C. | two solutions |
| D. | more than two solutions |
| Answer» C. two solutions | |
| 58. |
Capacities of production of an item over 3 consecutive months in regular time are 100,100 and 80 and in overtime are 20, 20 and 40. The demands over those 3 months are 90, 130 and 110. The cost of production in regular time and overtime are respectively Rs. 20 per item and Rs. 24 per item. Inventory carrying cost is Rs. 2 per item month. The levels of starting and final inventory are nil. Backorder is not permitted. For minimum cost of plan, the level of planned production in overtime in the third month is |
| A. | 40 |
| B. | 30 |
| C. | 20 |
| D. | 0 |
| Answer» C. 20 | |
| 59. |
A project has six activities (A to F) with respective activity durations 7,5,6,6,8,4 days. The network has three path A-B, C-D and EF. All the activities can be crashed with the same crash cost per day. The number of activities that need to be crashed to reduce the project duration by 1 day is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 6 |
| Answer» D. 6 | |
| 60. |
An assembly activity is represented on an Operation Process Chart by the symbol |
| A. | B |
| B. | A |
| C. | D |
| D. | O |
| Answer» E. | |
| 61. |
Consider the following Linear Programming Problem (LPP): |
| A. | The LPP has a unique optimal solution |
| B. | The LPP is infeasible |
| C. | The LPP is unbounded |
| D. | The LPP has multiple optimal solution |
| Answer» E. | |
| 62. |
In the construction of networks, dummy activities are introduced in order to |
| A. | Compute the slack on all events |
| B. | Transfer resources, if necessary, during monitoring |
| C. | Clearly designate a precedence relationship |
| D. | Simplify the crashing plan |
| Answer» D. Simplify the crashing plan | |
| 63. |
Two machines of the same production rate are available for use. On machine 1, the fixed cost is Rs. 100 and the variable cost is Rs. 2 per piece produced. The corresponding numbers for the machine are Rs. 200 and Rs. 1 respectively. For certain strategic reasons both the machines are to be used concurrently. The sale price of the first 800 units is Rs. 3.50 per unit & and subsequently it is only Rs. 3.00. The breakeven production rate for each machine is |
| A. | 75 |
| B. | 100 |
| C. | 150 |
| D. | 600 |
| Answer» B. 100 | |
| 64. |
The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval is |
| A. | Normal |
| B. | Poisson |
| C. | Erlang |
| D. | Beta |
| Answer» C. Erlang | |
| 65. |
The symbol used for Transport in work study is |
| A. | |
| B. | T |
| C. | |
| D. | |
| Answer» B. T | |
| 66. |
A maintenance service facility has Poisson arrival rates, negative exponential service time and operates on a 'first come first served' queue discipline. Break-downs occur on an average of 3 per day with a range of zero to eight. The maintenance crew can service an average of 6 machines per day with a range of zero to seven. The mean waiting time for an item to be serviced would be |
| A. | 1/6 day |
| B. | 1/3 day |
| C. | 1 day |
| D. | 3 day |
| Answer» B. 1/3 day | |
| 67. |
A soldering operation was work-sampled over two days (16 hours) during which an employee soldered 108 joints, actual working time was 90% of the total time and the performance rating was estimated to be 120 percent. If the contract provides allowance of 20 percent of the total time available, the standard time for the operation would be |
| A. | 8 min. |
| B. | 8.9 min |
| C. | 10 min |
| D. | 12 min |
| Answer» E. | |
| 68. |
The net requirements of an item over 5 consecutive weeks are 50-0-15-20-20. The inventory carrying cost and ordering cost are Rs. 1 per item per week and Rs. 100 per order respectively. Starting inventory is zero. Use "Least Unit Cost Technique" for developing the plan. The cost of the plan (in Rs.) is |
| A. | 200 |
| B. | 250 |
| C. | 225 |
| D. | 260 |
| Answer» C. 225 | |
| 69. |
In machine shop, pins of 15 mm diameter are produced at a rate of 1000 per month and the same is consumed at a rate of 500 per month. The production and consumption continue simultaneously till the maximum inventory is reached. Then inventory is allowed to reduce to zero due to consumption. The lot size of production is 1000. If backlog is not allowed, the maximum inventory level is |
| A. | 400 |
| B. | 500 |
| C. | 600 |
| D. | 700 |
| Answer» C. 600 | |
| 70. |
The maximum level of inventory of an item is 100 and it is achieved with infinite replenishment rate. The inventory becomes zero over one and half month due to consumption at a uniform rate. This cycle continues through out the year. Ordering cost is Rs. 100 per order and inventory carrying cost is Rs. 10 per item per month. Annual cost (in Rs.) of the plan, neglecting material cost, is |
| A. | 800 |
| B. | 2800 |
| C. | 4800 |
| D. | 6800 |
| Answer» D. 6800 | |
| 71. |
Consider a single server queuing model with Poisson arrivals ( = 4/hour) and exponential service ( = 4/hour). The number in the system is restricted to a maximum of 10. The probability that a person who comes in leaves without joining the queue is |
| A. | 1/11 |
| B. | 1/10 |
| C. | 1/9 |
| D. | 1/2 |
| Answer» B. 1/10 | |
| 72. |
The sales of a product during the last four years were 860, 880,870 and 890 units. The forecast for the fourth year was 876 units. If the forecast for the fifth year, using simple exponential smoothing, is equal to the forecast using a three period moving average the value of the exponential smoothing constant is |
| A. | 1/7 |
| B. | 1.5 |
| C. | 2/7 |
| D. | 2/5 |
| Answer» D. 2/5 | |
| 73. |
For a product, the forecast and the actual sales for December 2002 were 25 and 20 respectively. If the exponential smoothing constant ( ) is taken as 0.2, the forecast sales for January 2003 would be |
| A. | 21 |
| B. | 23 |
| C. | 24 |
| D. | 27 |
| Answer» D. 27 | |
| 74. |
Setup costs do not include |
| A. | Labour cost of setting up machines |
| B. | Ordering cost or raw material |
| C. | Maintenance cost of the machines |
| D. | Cost of processing the work piece |
| Answer» E. | |
| 75. |
In a forecasting model, at the end of period 13, the forecasted value for period 14 is 75. Actual value in the periods 14 to 16 are constant at 100. If the assumed simple exponential smoothing parameter is 0.5, then the MSE at the end of period 16 is |
| A. | 820.31 |
| B. | 273.44 |
| C. | 43.75 |
| D. | 14.58 |
| Answer» C. 43.75 | |
| 76. |
One of the following statements about PRS (Periodic Reordering System) is not true identify. |
| A. | PRS requires continuous monitoring of inventory levels |
| B. | PRS is useful in control of perishable items |
| C. | PRS provides basis for adjustments to account for variations in demand |
| D. | In PRS, inventory holding costs are higher than in Fixed Reorder Quantity System |
| Answer» D. In PRS, inventory holding costs are higher than in Fixed Reorder Quantity System | |
| 77. |
Which of the following is a technique for forecasting? |
| A. | Exponential smoothing |
| B. | PERT/CPM |
| C. | Gantt chart technique |
| D. | Control charts |
| Answer» B. PERT/CPM | |
| 78. |
On an average 100 customers arrive at a place each hour, and on the average the server can process 120 customers per hour. What is the proportion of time the server is idle?. |
| A. | 1 - |
| B. | 1 + |
| C. | |
| D. | None of these |
| Answer» B. 1 + | |
| 79. |
Production flow analysis (PFA) is a method of identifying part families that uses data from |
| A. | engineering drawings |
| B. | production schedule |
| C. | bill of materials |
| D. | route sheets |
| Answer» E. | |
| 80. |
In an assembly line for assembling toys, five workers are assigned tasks which take times of 10, 8, 6, 9 and 10 minutes respectively. The balance delay for line is |
| A. | 43.3% |
| B. | 14.8% |
| C. | 14.0% |
| D. | 16.3% |
| Answer» D. 16.3% | |
| 81. |
Market demand for springs is 8,00,000 per annum. A company purchases these spring in lots and sells them. The cost of making a purchase order is Rs. 1,200. The cost of Storage of springs is Rs. 120 per stored piece per annum. The economic order quantity is |
| A. | 400 |
| B. | 2,828 |
| C. | 4,000 |
| D. | 8,000 |
| Answer» D. 8,000 | |
| 82. |
When the annual demand of a product is 24000 units, the EOQ (Economic Order Quantity) is 2000 units. If the annual demand is 48000 units the most appropriate EOQ will be |
| A. | 1000 units |
| B. | 2000 units |
| C. | 2800 units |
| D. | 4000 units |
| Answer» D. 4000 units | |
| 83. |
For planning the procurement or production of dependent demand items, the technique most suited is |
| A. | MRP |
| B. | IMF |
| C. | Supply |
| D. | All of above |
| Answer» B. IMF | |
| 84. |
The manufacturing area of a plant is divided into four quadrants. Four machines have to located one in each quadrant. The total number of possible layouts is |
| A. | 4 |
| B. | 8 |
| C. | 16 |
| D. | 24 |
| Answer» E. | |
| 85. |
When using a simple moving average to forecast demand, one would |
| A. | given equal weight to all demand data |
| B. | assign more weight to the recent demand data |
| C. | include new demand data in the average without discarding the earlier data |
| D. | include new demand data in the average after discarding some of the earlier demand data |
| Answer» E. | |
| 86. |
In a time series forecasting model, the demand for five time periods was 10,13,15,18 and 22. A linear regression fit resulted in an equation F = 6.9 + 2.9 where F is the forecast for period f. The sum of absolute deviations for the five data is |
| A. | 2.2 |
| B. | 0.2 |
| C. | 1.2 |
| D. | 24.3 |
| Answer» B. 0.2 | |
| 87. |
In a single server infinite population queuing model. Arrivals follow a Poisson distribution with mean = 4 per hour. The service times are exponential with mean service time equal to 12 minutes. The expected length of the queue will be |
| A. | 4 |
| B. | 3.2 |
| C. | 1.25 |
| D. | 24.3 |
| Answer» C. 1.25 | |
| 88. |
At a production machine, parts arrive according to a Poisson process at the rate of 0.35 parts per minute. Processing time for parts have exponential distribution with mean of 2 minutes. What is the probability that a random part arrival finds that there are already 8 parts in the system (in machine + in queue)? |
| A. | 0.0247 |
| B. | 0.0576 |
| C. | 0.0173 |
| D. | 0.082 |
| Answer» D. 0.082 | |
| 89. |
The cost of providing service in a queuing system increases with |
| A. | Increased mean time in the queue |
| B. | Increased arrival rate |
| C. | Decreased mean time in the queue |
| D. | Decreased arrival rate |
| Answer» D. Decreased arrival rate | |
| 90. |
A regression model is used to express a variable V as a function of another variable X, this implies that |
| A. | There is a causal relationship between Y and X |
| B. | A value of X may be used to estimate a value of Y |
| C. | Values of X exactly determine values of Y |
| D. | There is no causal relationship between Y and X |
| Answer» B. A value of X may be used to estimate a value of Y | |
| 91. |
In inventory planning, extra inventory is unnecessarily carried to the end of the planning period when using one of the following lot size decision policies: |
| A. | Lot for lot production |
| B. | Economic Order Quantity (EOQ) lot size |
| C. | Period Order Quantity (POQ) lot size |
| D. | Part period total cost balancing |
| Answer» C. Period Order Quantity (POQ) lot size | |
| 92. |
A company has two factories S |
| A. | 2, 4, 90 |
| B. | 2, 4, 110 |
| C. | 3, 4, 90 |
| D. | 3, 4,110 |
| Answer» D. 3, 4,110 | |
| 93. |
A component can be produced by any of the four processes, I, II, III and IV. Process I has fixed cost of Rs. 20 and variable cost of Rs. 3 per piece. Process II has a fixed cost of Rs. 50 and variable cost of Rs. 1 per piece. Process III has a fixed cost of Rs. 40.00 and variable cost of Rs. 2 per piece. Process IV has fixed cost of Rs. 10 and Variable cost Rs. 4 per piece. If company wishes to produce 100 pieces of the component, from economic point of view it should choose |
| A. | Process I |
| B. | Process II |
| C. | Process III |
| D. | Process IV |
| Answer» C. Process III | |
| 94. |
A company has an annual demand of 1000 units, ordering cost of Rs. 100/ order and carrying cost of Rs. 100/unit-year. If the stockout costs are estimated to be nearly Rs. 400 each time the company runs out-of-stock, the safety stock justified by the carrying cost will be |
| A. | 4 |
| B. | 20 |
| C. | 40 |
| D. | 100 |
| Answer» D. 100 | |
| 95. |
If an additional constraint X |
| A. | (5/3, 5/3) |
| B. | (4/3,4/3) |
| C. | (5/2, 5/2) |
| D. | (5, 0) |
| Answer» C. (5/2, 5/2) | |
| 96. |
A manufacturer produces two types of products, 1 and 2, at production levels of x |
| A. | 29 |
| B. | 38 |
| C. | 44 |
| D. | 75 |
| Answer» D. 75 | |
| 97. |
A company produces two types of toys: P and Q. Production time of Q is twice that of P and the company has a maximum of 2000 time units per day. The supply of raw material is just sufficient to produce 1500 toys (of any type) per day. Toy type Q requires an electric switch which is available @ 600 pieces per day only. The company makes a profit of Rs. 3 and Rs. 5 on type P and Q respectively. For maximization of profits, the daily production quantities of P and Q toys should respectively be |
| A. | 1000, 500 |
| B. | 800, 600 |
| C. | 500, 1000 |
| D. | 1000, 1000 |
| Answer» B. 800, 600 | |
| 98. |
The expected completion time of the project is |
| A. | 238 days |
| B. | 224 days |
| C. | 171 days |
| D. | 155 days |
| Answer» E. | |
| 99. |
A residential school stipulates the study hours as 8 : 00 pm to 10 : 30 pm. Warden makes random checks on a certain student 11 occasions a day during the study hours over a period of 10 days and observes that he is studying on 71 occasions. Using 95% confidence interval, the estimated minimum hours of his study during that 10 day period is |
| A. | 8.5 hours |
| B. | 13.9 hours |
| C. | 16.1 hours |
| D. | 18.4 hours |
| Answer» D. 18.4 hours | |
| 100. |
The expected time (t |
| A. | <table><tr><td rowspan="2">t<sub>e</sub> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>t<sub>o</sub> + 4t<sub>l</sub> + t<sub>p</sub></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">6</td></tr></table> |
| B. | <table><tr><td rowspan="2">t<sub>e</sub> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>t<sub>o</sub> + 4t<sub>p</sub> + t<sub>l</sub></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">6</td></tr></table> |
| C. | <table><tr><td rowspan="2">t<sub>e</sub> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>t<sub>o</sub> + 4t<sub>l</sub> + t<sub>p</sub></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3</td></tr></table> |
| D. | <table><tr><td rowspan="2">t<sub>e</sub> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>t<sub>o</sub> + 4t<sub>p</sub> + t<sub>l</sub></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3</td></tr></table> |
| Answer» B. <table><tr><td rowspan="2">t<sub>e</sub> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>t<sub>o</sub> + 4t<sub>p</sub> + t<sub>l</sub></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">6</td></tr></table> | |