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 46–48 of 65. Imported answers require review unless explicitly marked reviewed.
Question 46
Open questionMEMCQ2 marksNeeds review
An objective function
of primal variables (
and
) is described below:Minimize
subject to
is the objective function of the dual of
.
, and
represent the corresponding dual variables.Which one of the following options represents the correct form of
?Your answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
Four jobs are on order in a factory. As on day 20 of the production calendar, the corresponding due date and work remaining to complete these jobs (in days) are given in the table below.
Job | Due date | Work remaining (in days) |
|---|---|---|
M | 26 | 5 |
N | 24 | 10 |
O | 28 | 10 |
P | 31 | 5 |
Which job(s) has/have critical ratio less than unity?
Your 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 48
Open questionMENAT2 marksNeeds review
A block of 50 kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown in the figure below. The coefficient of static friction between the block and the inclined plane is 0.3. Neglecting pulley friction, the minimum value of M required to start the upward motion of the block is ______ kg (rounded off to 1 decimal place).
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