GATE PI kind:question PYQs & Answers — Page 51

Questions 501–510 of 650. Imported answers require independent review unless marked reviewed.

The mean time to repair (MTR) for a repairable system is 30 minutes. When maintenance time changes from 20 minutes to 40 minutes, the net increase in maintainability is closest to

Your answerChoose one option.

0.15

0.25

0.45

0.60

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A company invests Rs.50 thousand in assets. The initial investment is Rs.30 thousand with two subsequent investments of Rs.10 thousand each at the end of 1st year and 2nd year. The useful life of the assets is 10 years with no salvage value at the end. If the interest rate is 10% and the minimum attractive rate of return (MARR) is 12%, the annual capital recovery and return (CRR) in thousands of Rs. is

Your answerChoose one option.

8.38

7.06

5.74

3.10

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The man-hours required (

) to manufacture the

unit in a plant is given by

, where

at the 80% learning rate. If the manufacturing time for the first unit (

) is 80 man-hours, the total time (in man-hours) required to manufacture the first 4 units, at 80% learning rate, is

Your answerChoose one option.

322.11

251.35

103.76

51.19

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A firm, with a production target of 50,000 units/year, has the following data for the selection of a new location for its plant:

Location	Fixed cost (Rs.)	Variable cost per unit (Rs.)
P	110,000	2
Q	95,000	2.5
R	80,000	3
S	75,000	3.5

The most economical location for the firm is

Your answerChoose one option.

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Considering included angle

of the thread to be 60° using the Best-Wire method, the difference between the effective diameter (

) and the dimension under the wire (

) for M10 × 1.0 mm is closest to

Your answerChoose one option.

0.289

0.578

0.867

0.982

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is a complex variable with

, the length of the minor axis of an ellipse defined by

is _____

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The numerical value of the definite integral

using trapezoidal rule with function evaluations at points

, 0.5 and 1 is ______ (round off to 3 decimal places)

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A thin walled cylindrical pressure vessel with an inside diameter of 300 mm and wall thickness of 3 mm is subjected to an internal gauge pressure of 1.5 MPa. The maximum shear stress (in MPa) at a point located on the inner surface of the pressure vessel is ______

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A cam is designed to achieve a simple harmonic motion of a flat-faced follower. Starting from the rest, the follower rises to the maximum height of 50 mm at 180° of cam rotation as shown in the figure.

Diagram for Production and Industrial Engineering question 44

If the cam rotates at a uniform angular speed of 100 rpm, the speed of the follower (in mm/s) at the instance when the cam rotates 45° from the initial position is ______

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An open tank of 2 m × 2 m × 2 m is filled with layers of two fluids. Depth of each layer is one meter. The top layer is that of oil of specific gravity 0.8. The bottom layer is of water. Consider the density of water

and acceleration due to gravity

. Neglecting the effect of atmospheric pressure, the force (in N) exerted by the fluids on one of the side walls of the tank is ______

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GATE PI kind:question PYQs

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