GATE PI year:2024 PYQs & Answers — Page 2

Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 2 of 7

In the Taylor series expansion of

around

, the coefficient of the term

Your answerChoose one option.

1/3

−1/6

−1/3

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A vector field is given as

, where

and

are the unit vectors along the x and y axes in the Cartesian frame, respectively. Then the value of

where

is an elemental path taken over an anticlockwise circular contour

of radius

Diagram for Production and Industrial Engineering question 12

Your answerChoose one option.

−100π

−800π

−400π

400π

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A uniform cantilever beam of length

and flexural rigidity

is loaded by a force

as shown in the figure. Assuming that the Euler-Bernoulli beam theory is applicable here, the magnitude of the static deflection at the free end of the beam is

Diagram for Production and Industrial Engineering question 13

Your answerChoose one option.

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A thin copper wire carries electric current and is insulated by putting a sleeve of thickness

, over it. In steady state conditions, the rate of heat loss from the insulated wire per unit length is

. Which of the following is TRUE?

Your answerChoose one option.

increases monotonically with

decreases monotonically with

first increases with increase in

, and then it decreases with further increase in

first decreases with increase in

, and then it increases with further increase in

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The solidification time of a cube and a cylinder of the same material, produced through the same sand casting process, is found to be equal. Each side of the cube is

, and the radius and the length of the cylinder are

and

, respectively. If the solidification time is governed by Chvorinov’s equation, then the ratio

Your answerChoose one option.

1/3

5/12

7/12

5/9

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Match each of the listed defects in deep drawing cup with the corresponding reason in the table.

Defect in deep drawing cup	Reason
P: Orange peel on the surface of cup	1: No blank holding force
Q: Wrinkling at the flange of cup	2: Very small corner radius of the punch
R: Tearing at the bottom corner of cup	3: Large grain size in the blank material
S: Earing at the top edge of the cup	4: Anisotropy of the blank material

Your answerChoose one option.

P-3, Q-4, R-2, S-1

P-4, Q-1, R-3, S-2

P-3, Q-1, R-2, S-4

P-2, Q-3, R-1, S-4

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Which one of the following pure metals has the hexagonal close packed (HCP) crystal structure at room temperature?

Your answerChoose one option.

Magnesium

Iron

Aluminium

Copper

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To create 12 divisions on a disc by using simple indexing and dividing head on a horizontal milling machine, choose the correct option for the rotation of the crank pin.

Your answerChoose one option.

3 full rotations and 5 holes on a 15-hole circle

5 full rotations and 4 holes on a 16-hole circle

3 full rotations and 5 holes on a 18-hole circle

5 full rotations and 4 holes on a 20-hole circle

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The following layout of four departments P, Q, R and S is provided as input to CRAFT (Computerized Relative Allocation of Facilities Technique). Which one of the following department pairs cannot be considered for exchange in CRAFT?

Diagram for Production and Industrial Engineering question 19

Your answerChoose one option.

P and Q

R and S

P and R

Q and R

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Which of the following concepts is not closely inter-related with INTERCHANGEABILITY in the context of product design?

Your answerChoose one option.

Standardization

Simplification

Diversification

Specialization

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GATE PI year:2024 PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20