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GATE Mechanical Engineering

2,412 questions · 40 years · 27 subjects

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Practice Mechanical Engineering PYQs

10 questions shown in Math Reasoning. Filter for cleaner practice sessions.

Showing Math Reasoning PYQs from Mechanical Engineering.
2025 Q10

A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of receiving job offers from compa...

Math Reasoning/MCQ/answer key
2021 Q7

A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and...

Math Reasoning/MCQ/answer key
2019 Q4

The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is ________.

Math Reasoning/MCQ/answer key
2019 Q6

Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in the actual fiscal deficit is __...

Math Reasoning/MCQ/answer key
2019 Q7

Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are open for 4 hours. Then P is close...

Math Reasoning/MCQ/answer key
2018 Q4

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m² of area. What is the area of the...

Math Reasoning/MCQ/answer key
2018 Q5

A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

Math Reasoning/MCQ/answer key
2018 Q6

For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?

Math Reasoning/MCQ/answer key
2018 Q62

What is the sum of the missing digits in the subtraction problem below? 5 -48 89 ----- 1111

Math Reasoning/MCQ/answer key
2018 Q63

Let S₁ be the plane figure consisting of the points (x, y) given by the inequalities |x - 1| ≤ 2 and |y + 2| ≤ 3. Let S₂ be the plane figure given by the inequalities x - y ≥ -2, y...

Math Reasoning/MCQ/answer key