List of top Operations Research and Operations Management Questions asked in GATE PI

A company purchased two machines, Machine A and Machine B, at the same time. The purchase price, estimated useful life and the estimated salvage value of the two machines are given in the table.
Machine AMachine B
Purchase priceINR 20,000INR 15,000
Estimated useful life10 years20 years
Estimated salvage valueINR 5,000INR 5,000
Using the straight-line depreciation method for both the machines, the difference (in INR) between the value of Machine A and the value of Machine B at the end of five years is _____ . (Answer in integer)
A company orders an item using the classical economic order quantity formula. If the ordering cost per order is increased by 20% and the demand per unit time is also increased by 20%, then the time between orders increases (in %) by ____ . (Answer in integer)
Five jobs A, B, C, D and E are available at time t = 0 for processing at a machine, and their processing times are listed.
JobABCDE
Processing time (in days)96458
If the jobs are processed using the shortest processing time (SPT) rule, the average flow time (in days) is _____ . (Rounded off to 1 decimal place)
An assembly line consists of three work stations (\(S_1, S_2\) and \(S_3\)) in series to assemble a toy. The times required to perform tasks at these stations are 6, 4 and T minutes, respectively. If the efficiency of the assembly line in the steady state is 75%, then the maximum value of T (in minutes) is _____ . (Answer in integer)
A project has six activities and the precedence relationship among them is shown in the table.
ActivityPrecedent activities
ANone
BNone
CNone
DA, B
EB,C
FA, B
The minimum number of dummy activities needed to draw an activity-on-arrow (AOA) representation of the project network is ___ .