Production and Industrial Engineering
GATE PI format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 241–250 of 367. Imported answers require independent review unless marked reviewed.
Question 27
Open questionPIMCQ2 marksNeeds review
For the matrix
, the eigenvectors areYour answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
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 
Your answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
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
is 
Your answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
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 areYour answerChoose one option.
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The statement that best describes the function of a GO gauge in the context of Taylor’s principle of gauging is
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Open questionPIMCQ2 marksNeeds review
The figure shows revenue generated over different product life cycle stages marked as P, Q, R and S. Group I lists these product life cycle stages. Group II lists typical efforts leading to revenue maximization during a stage.
Group I
P. Introduction
Q. Growth
R. Maturity
S. Decline
Group II
Efforts to enhance the production capacity
Efforts to rejuvenate the product
Efforts to maximize the product performance
Efforts to explore other markets
Match the stage with the efforts.
Your answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
A company manufactures products P and Q in quantities
and
, respectively, using two resources. The following Linear Programming Problem (LPP) is formulated to maximize the profit Z.Maximize
subject to
(for Resource 1)
(for Resource 2)
and
.The shadow price for Resource 2 is
Your answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
A rectifying inspection is performed on a lot of size
using a Single-Sampling Plan with the sample size
and the acceptance number
. If the Acceptable Quality Level is 1.0%, the producer’s risk associated with the sampling plan (rounded off to the nearest integer) in % isYour answerChoose one option.
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Open questionGAMCQ1 markNeeds review
The fishermen, _____ the flood victims owed their lives, were rewarded by the government.
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Open questionGAMCQ1 markNeeds review
Some students were not involved in the strike.
If the above statement is true, which of the following conclusions is/are logically necessary?
Some who were involved in the strike were students.
No student was involved in the strike.
At least one student was involved in the strike.
Some who were not involved in the strike were students.
Your answerChoose one option.
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