GATE ME Industrial Engineering : National Champion Test for ESE & GATE ME Exams

Question 1

A tie for leaving variables in simplex procedure implies____.

Question 2

In PERT, the distribution of activities times is assumed to be_____.

Question 3

In the queuing theory, the number of arrivals per unit time is estimated by

Question 4

Exponential smoothening methods are best suited under conditions when

Question 5

When solving the problem by Big-M method, if the objective functions row (evaluation row) shows optimality by one or more artificial variables are still in the basis, what type of solution does it show?

Question 6

Match List-I with List-II and select the correct answer using the code given below the lists:
List-I
A). Dummy activity
B). Critical path
C). PERT activity
D). Critical path method
List-II
1). Follows β distribution
2). It is built on activity oriented diagram
3). Constructed only to establish sequence
4). Has zero total https://gs-post-images.grdp.co/2021/3/image-2021-03-11t145201-img1615454542260-30.png-rs-high-webp.png

Question 7

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

Question 8

In an MRP system, component demand is:

Question 9

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 t where F is the forecast for period t. The sum of absolute deviations for the five data is:

Question 10

Consider a single server queuing model with Poisson arrivals (l = 4 /hour) and exponential service ( $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image056.png$ = 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

Question 11

At a work station, 5 jobs arrive every minute. The mean time spent on each job in the work station is 1/8 minute. The mean steady state number of jobs in the system is ______

Question 12

The demand for a two-wheeler was 900 units and 1030 units in April 2015 and May 2015, respectively. The forecast for the month of April 2015 was 850 units. Considering a smoothing constant of 0.6, the forecast for the month of June 2015 is

Question 13

Six jobs arrived in a sequence as given below:

Average flow time (in days) for the above jobs using Shortest Processing Time rule is

Question 14

A company has introduced a new product with fixed cost of ₹200 per week and unit variable cost of ₹7. The product is sold to a retailer with a quantity discount as per the following schedule:

(a) Determine the profit as a function of quantity sold.
(b) In what range of quantities sold does the company earn profit?

Question 15

Fifty observations of a production operation revealed a mean cycle time of 10 min. the worker was evaluated to be performing at 90% efficiency. Assuming the allowances to be 10% of the normal time, the standard time (in seconds) for the job is_______.

Question 16

If there are m sources and n destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is

Question 17

The demand and forecast for February are 12000 and 10275, respectively. Using single exponential smoothening method (smoothening coefficient = 0.25), forecast for the month of March is

Question 18

In a 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 lost size of production is 1000. If backlog is not allowed, the maximum inventory level is

Question 19

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 per 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

Question 20

A standard machine tool and an automatic machine tool are being compared for the production of a component. Following data refers to the two machines.
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The breakeven production batch size above which the automatic machine tool will be economical to use, will be