Engineering Sciences
GATE XE year:2025 PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 175. Imported answers require independent review unless marked reviewed.
Question 71
Open questionXE-DMSQ1 markNeeds review
The natural frequency of a spring-mass system is 10 rad/s.
Which of the following statements is/are CORRECT?
Your answerSelect all correct options. You can choose more than one.
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Open questionXE-DNAT1 markNeeds review
Consider a beam with a square box cross-section as shown in the figure. The outer square has a length of 10 mm. The thickness of the section is 1 mm.
The area moment of inertia about the x-axis is _____ mm
(in integer). 
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Open questionXE-DNAT1 markNeeds review
For a certain linear elastic isotropic material, the Young’s modulus is 140 GPa and the shear modulus is 50 GPa.
The Poisson’s ratio for the material is _____ (rounded off up to two decimal places).
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Open questionXE-DNAT1 markNeeds review
A force of
N is applied at the ends of the pliers as shown in the figure.Neglecting friction, the force exerted by the upper jaw on the workpiece is _____ N (in integer).
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Open questionXE-DMCQ2 marksNeeds review
Consider two blocks, P of mass 100 kg and Q of mass 150 kg, resting as shown in the figure. The angle
. The coefficient of friction between the two blocks is 0.2. Assume no friction exists at all other interfaces. The minimum force required to move the block P upward is W.Which one of the following options is closest to the CORRECT magnitude of W (in N)?
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
Which one of the following vertical columns, of circular cross-section, sustains the highest load without buckling?
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
The figure shows a rod PQ, hinged at P, rotating counter-clockwise with a uniform angular speed of 15 rad/s. A block R translates along a slot cut in rod PQ. At the instant shown the distance PR = 0.5 m and
. The relative velocity of R with respect to the rod PQ is 5 m/s at the instant shown. The relative acceleration of R with respect to the rod PQ is zero at the instant shown.Which one of the following is the CORRECT magnitude of the absolute acceleration (in m/s
) of block R? 
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
The frame shown in the figure is loaded at S with a force of 2000 N. The reactions at T are denoted by T
and T
, while the reaction at W is W
. Neglect the weight of the members.Which one of the following options for the magnitudes of the forces (in N), T
, T
and W
, is CORRECT? 
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
A closed thin cylindrical tank with a mean diameter d = 300 mm and thickness t = 2 mm, is subjected to a uniform internal gas pressure p. The allowable shear stress on the curved wall of the tank is 70 MPa.
Based on the Tresca criteria, which one of the following options for the maximum safe value of p (in MPa) is CORRECT?
Your answerChoose one option.
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Open questionXE-DMSQ2 marksNeeds review
An infinitesimal square element PQRS is shown in the figure. The x and y axes are also marked in the figure. The strains on the element are given by
and
Which of the following statements is/are CORRECT?
Your answerSelect all correct options. You can choose more than one.
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