Mechanical Engineering
GATE ME format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 81–90 of 599. Imported answers require independent review unless marked reviewed.
Question 41
Open questionMEMCQ2 marksNeeds review
A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm. The plate thickness is to be reduced to 27 mm in a single pass. Assume no change in width. The process feasibility and the maximum draft (in mm) can be represented, respectively, as
Use the coefficient of friction as 0.12
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The system shown in the figure below consists of a cantilever beam (with flexural rigidity
and negligible mass), a spring (with spring constant
and negligible mass) and a block of mass
. Assuming a lumped parameter model for the system, the fundamental natural frequency (
) of the system is 
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The endurance limit of a specific grade of steel is same as its yield strength. The ultimate strength of this grade of steel is twice of its yield strength. A component made of this steel is loaded in tension and unloaded periodically. It is required that the component does NOT fail for at least
loading cycles, as per the Soderberg law. Considering a factor of safety of 2, the maximum applied tensile principal stress isYour answerChoose one option.
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If ‘→’ denotes increasing order of intensity, then the meaning of the words [smile → giggle → laugh] is analogous to [disapprove → ______ → chide]. Which one of the given options is appropriate to fill the blank?
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Find the odd one out in the set:
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In the following series, identify the number that needs to be changed to form the Fibonacci series.
1, 1, 2, 3, 6, 8, 13, 21, …
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The real variables
,
,
, and the real constants
,
,
satisfy
Given that the denominators are non-zero, the value of
isYour answerChoose one option.
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Take two long dice (rectangular parallelepiped), each having four rectangular faces labeled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the die is the score of the throw.
If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?
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In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.
Prof. P ______ (i) merely a man who narrated funny stories. ______ (ii) in his blakest moments he was capable of self-deprecating humor.
Prof. Q ______ (iii) a man who hardly narrated funny stories. ______ (iv) in his blakest moments he was able to find humor.
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How many combinations of non-null sets A, B, C are possible from the subsets of satisfying the conditions: (i) A is a subset of B, and (ii) B is a subset of C?
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