GATE PI discipline:mechanical-and-production-engineering PYQs & Answers — Page 21

Questions 201–210 of 650. Imported answers require independent review unless marked reviewed.

Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement “Some human beings are not cruel creatures” is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?

(i) All human beings are cruel creatures. (ii) Some human beings are cruel creatures. (iii) Some creatures that are cruel are human beings. (iv) No human beings are cruel creatures.

Your answerChoose one option.

only (i)

only (iii) and (iv)

only (i) and (ii)

(i), (ii) and (iii)

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To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.

If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?

Your answerChoose one option.

400

600

800

200

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The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sri Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households.

Based only on the above passage, which one of the following statements can be inferred with certainty?

Your answerChoose one option.

According to the World Bank, the root cause of Sri Lanka’s economic crisis is that it does not have enough foreign exchange.

The World Bank has stated that it will advise the Sri Lankan government about how to tackle the root causes of its economic crisis.

According to the World Bank, Sri Lanka does not have an adequate macroeconomic policy framework.

The World Bank has stated that it will provide Sri Lanka with additional funds for essentials such as food, fuel, and medicines.

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The coefficient of

in the polynomial

is equal to _____.

Your answerChoose one option.

− 3

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Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

Your answerChoose one option.

circle

regular octagon

regular pentagon

rhombus

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Given matrices

and

; B is skew-symmetric matrix of A.

Your answerChoose one option.

−3

−2

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The non-linear differential equation from the following options is

Your answerChoose one option.

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The power series expansion of a function is given as

for

. The values of constants b and c, respectively, are

Your answerChoose one option.

and

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Three unbiased coin are tossed. Provided that at least two outcomes are tails, the probability of having all three outcomes as tails is

Your answerChoose one option.

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Two plane parallel surfaces exchange heat by thermal radiation. A radiation shield is placed in between at equal distance from the two surfaces to reduce heat transfer. All surfaces are black with infinite length and width. The ratio of heat transfer rate between surfaces with and without radiation shield is

Your answerChoose one option.

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GATE PI discipline:mechanical-and-production-engineering PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15