GATE PI year:2025 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 5 of 7

The network diagram of eight activities (A to H) along with their time durations (in days, given in bracket) of a project is shown in the figure. The critical path of the project is

Diagram for Production and Industrial Engineering question 41

Your answerChoose one option.

1–2–3–6

1–4–3–6

1–5–6

1–4–5–6

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The benefit(s) of product standardization is/are

Your answerSelect all correct options. You can choose more than one.

Need of less number of draw dies

Reduction in unit cost

Reduction in inventory cost

Greater product variety

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The value of the integral

obtained by using Simpson’s 1/3 rule with 4 subintervals is equal to

. The value of n is ________. (Answer in integer)

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If i, j and k are the orthogonal unit vectors in Cartesian x-y-z coordinate system, the rate of change of the function

at point (1, 1, 1) in the direction of

is________. (Answer in integer)

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In a wire drawing of a perfectly-plastic material with flow stress of 300 MPa, the back tension is zero and front tension is 200 MPa. Assuming ideal deformation with zero friction, the percentage reduction of the cross-sectional area of the wire is________. (Rounded off to one decimal place)

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In a cold rolling process without front and back tensions, the required minimum coefficient of friction is 0.04. Assume large rolls. If the draft is doubled and roll diameters are halved, then the required minimum coefficient of friction is________. (Rounded off to two decimal places)

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In a direct current arc welding, the voltage V (in volt) is related to the arc length l (in cm) as

The open circuit voltage is 80 volts. The maximum possible arc length (in cm) is________. (Rounded off to two decimal places)

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A worker is allowed half an hour personal time in a normal 8-hour shift. If the normal time for manufacturing a product is 5 minutes, the standard time (in second) is________. (Answer in integer)

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A product has to be manufactured in a single-line layout by carrying out the six tasks in a sequence. The time (in minute) of the six sequential tasks are 37, 8, 19, 34, 36 and 17. These tasks cannot be further sub-divided. For minimizing the cycle time, the number of stations to be used is________. (Answer in integer)

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A through hole of 10 mm diameter is to be drilled in a mild steel plate of 30 mm thickness. The selected spindle speed and feed for drilling hole are 600 revolutions per minute (RPM) and 0.3 mm/rev, respectively. Take initial approach and breakthrough distances as 3 mm each. The total time (in minute) for drilling one hole is________. (Rounded off to two decimal places)

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GATE PI year:2025 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50