GATE PI year:2020 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 4 of 7

The Bellman’s principle of optimality is related to

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Linear programming problem

Transportation problem

Dynamic programming problem

Assignment problem

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The process capability ratio

is given by

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In a uniaxial tensile test on a specimen of a ductile material, the ultimate tensile strength is found to be 400 MPa and the elongation up to the maximum load is 25%. The true stress at the maximum load in MPa is __________.

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Suppose the control system of a fighter jet consists of three unrelated components in series, and it is desired to have 98% reliability of the system. If the reliability level of all the components is the same, then the reliability of each component (rounded off to three decimal places) is __________.

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The product structure tree in the figure below shows the components needed to assemble one unit of product P.

Diagram for Production and Industrial Engineering question 25

The number of units of component D needed to assemble 10 units of product P is __________.

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General solution of

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For the matrix

, the eigenvectors are

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and

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A truss with two bars PR and QR, making angles

and

, respectively, with the vertical, is shown in the figure below. The connections at P, Q and R are hinged connections. The truss supports a body of weight

(in N) at R as shown. The tension in the bar QR (in N) is

Diagram for Production and Industrial Engineering question 28

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The figure shows a beam of length

(in m) with a uniformly distributed transverse load of

(in N/m) acting over it. The width and depth of the beam cross section are

(in m) and

(in m), respectively. The magnitude of the maximum bending stress in the beam in N/m

Diagram for Production and Industrial Engineering question 29

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The vertices of rectangle

are as follows in a 2-D CAD system.

The coordinates of the corresponding new vertices,

after translation of the rectangle along x-axis in the positive direction by 6 units and along y-axis in the positive direction by 3 units are

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GATE PI year:2020 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30