Mechanical Engineering
GATE ME year:2025 PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.
Question 11
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Let A and B be real symmetric matrices of same size. Which one of the following options is correct?
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For the differential equation given below, which one of the following options is correct?
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The divergence of the curl of a vector field is
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If two unbiased coins are tossed, then what is the probability of having at least one head?
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Let a spherical block of ice at
be exposed to atmospheric air at
with the gravitational direction as shown in the figure below. What will be the overall direction of air flow in this situation? 
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Consider two identical tanks with a bottom hole of diameter
. One tank is filled with water and the other tank is filled with engine oil. The height of the fluid column
is same in both the cases. The fluid exit velocity in the tanks are
and
. Neglecting all losses, which one of the following options is correct? 
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In a laboratory experiment using a scaled down model to measure scour at a bridge pier, the Froude number is important. The ratio of the prototype length to the model length is 100. If the velocity of the model is 1 m s
, the velocity (in m s
) of the prototype isYour answerChoose one option.
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Air inside a rigid, thermally-insulated tank undergoes stirring as shown in the figure below. Which one of the following options is correct?

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In a psychometric chart, one axis represents dry-bulb temperature. The axis, that is perpendicular to the dry-bulb temperature axis, represents
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Among the following surface hardening processes, steel is heated to the lowest temperature in
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