Mechanical Engineering
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.
Question 37
Open questionMEMCQ2 marksNeeds review
Consider the following differential equation
If
, then the solution of the differential equation isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
Let
be a function of
defined for all positive values of
. The Laplace transform of
denoted by
, provided that the integral exists where
is a parameter which may be a real or complex number.The Laplace transform of
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 39
Open questionMEMCQ2 marksNeeds review
A student council of 10 members consists of two students from engineering school, three students from science school and five students from arts school. The university administration selects three students from the council at random. What is the chance that out of the selected students, two belong to the same school and the third belongs to different school?
Your answerChoose one option.
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