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Test: CPM, PERT & Inventory Control - 1 - Mechanical Engineering MCQ


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20 Questions MCQ Test GATE Mechanical (ME) Mock Test Series 2025 - Test: CPM, PERT & Inventory Control - 1

Test: CPM, PERT & Inventory Control - 1 for Mechanical Engineering 2024 is part of GATE Mechanical (ME) Mock Test Series 2025 preparation. The Test: CPM, PERT & Inventory Control - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: CPM, PERT & Inventory Control - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: CPM, PERT & Inventory Control - 1 below.
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Test: CPM, PERT & Inventory Control - 1 - Question 1

In PERT analysis a critical activity has 

Test: CPM, PERT & Inventory Control - 1 - Question 2

Setup costs do not include 

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Test: CPM, PERT & Inventory Control - 1 - Question 3

Micromotion study involves following number of fundamental hand motions

Test: CPM, PERT & Inventory Control - 1 - Question 4

There are two products P and Q with the following characteristics 

The economic order quantity (EOQ) of products P and Q will be in the ratio

Detailed Solution for Test: CPM, PERT & Inventory Control - 1 - Question 4

Test: CPM, PERT & Inventory Control - 1 - Question 5

A dummy activity is used in PERT network to describe  

Test: CPM, PERT & Inventory Control - 1 - Question 6

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: 

Test: CPM, PERT & Inventory Control - 1 - Question 7

In PERT, the distribution of activity times is assumed to be: 

Test: CPM, PERT & Inventory Control - 1 - Question 8

Market demand for springs is 8,00,000 per annum. A company purchases these springs 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: 

Detailed Solution for Test: CPM, PERT & Inventory Control - 1 - Question 8


Where, N = 8, 00, 000; A = 1200 Rsm; CI = 120 Rs/stored piece/annum

Test: CPM, PERT & Inventory Control - 1 - Question 9

The expected time (te) of a PERT activity in terms of optimistic time (to), pessimistic time (tp) and most likely time (t1) is given by:  

Test: CPM, PERT & Inventory Control - 1 - Question 10

An item can be purchased for Rs 100. The ordering cost is Rs. 200 and the inventory carrying cost is 10% of the item cost annum. If the annual demand is 4000 units, then economic order quantity (in units) is: 

Detailed Solution for Test: CPM, PERT & Inventory Control - 1 - Question 10

Test: CPM, PERT & Inventory Control - 1 - Question 11

Consider a PERT network for a project involving six tasks (a to f)

The expected completion time of the project is: 

Detailed Solution for Test: CPM, PERT & Inventory Control - 1 - Question 11

Critical path = a – c – e – f
= 30 + 60 + 45 + 20 
= 155 days 


Test: CPM, PERT & Inventory Control - 1 - Question 12

Consider a PERT network for a project involving six tasks (a to f)

The standard deviation of the critical path of the project is: 

Test: CPM, PERT & Inventory Control - 1 - Question 13

If the demand for an item is doubled and the ordering cost halved, the economic order quantity  

Detailed Solution for Test: CPM, PERT & Inventory Control - 1 - Question 13


where, A = Ordering cost; D = Demand; h = Unit holding cost

Test: CPM, PERT & Inventory Control - 1 - Question 14

Consider the following PERT network:

The optimistic time, most likely time and pessimistic time of all the activities are given in the table below: 

The critical path duration of the network (in days) is:

Test: CPM, PERT & Inventory Control - 1 - Question 15

Consider the following PERT network:

The optimistic time, most likely time and pessimistic time of all the activities are given in the table below: 

The standard deviation of the critical path is:

Test: CPM, PERT & Inventory Control - 1 - Question 16

Annual demand for window frames is 10000. Each frame costs Rs. 200 and ordering cost is Rs. 300 per order. Inventory holding cost is Rs. 40 per frame per year. The supplier is willing to offer 2% discount if the order quantity is 1000 or more, and 4% if order quantity is 2000 or more. If the total cost is to be minimized, the retailer should

Detailed Solution for Test: CPM, PERT & Inventory Control - 1 - Question 16



Test: CPM, PERT & Inventory Control - 1 - Question 17

For the network below, the objective is to find the length of the shortest path from node P to node G. Let dij be the length of directed arc from node i to node j. Let sj be the l ength of the shortest path from P to node j. Which of the following equations can be used to find sG?

 

Test: CPM, PERT & Inventory Control - 1 - Question 18

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 stock-out costs are estimated to be nearly Rs. 400 each time the company runs out-of-stock, then safety stock justified by the carrying cost will be: 

Detailed Solution for Test: CPM, PERT & Inventory Control - 1 - Question 18

Given: D = 1000;   Ordering cost, A = Rs. 100/order
Holding cost, H = Rs. 100/unit-year; Stock out cost, S = Rs. 400

 

Test: CPM, PERT & Inventory Control - 1 - Question 19

A Project consists of activities A to M shown in the net in the following figure with the duration of the activities marked in days 

The project can be completed:

Detailed Solution for Test: CPM, PERT & Inventory Control - 1 - Question 19

Project completed = Activity C + Activity F + Activity K +  Activity M
= 4 + 9 + 3 + 8 = 24

Test: CPM, PERT & Inventory Control - 1 - Question 20

The maximum level of inventory of an item is 100 and it 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 throughout 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: 

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