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Prelims

UPSC Prelims Questions

Practice UPSC Prelims MCQs by subject and year. Free questions with explanations for focused revision.

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Q.4303·Miscellaneous·2021·Easy

What is the derivative of sin(ln x) + cos(ln x) with respect to x at x = e?

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Q.4304·Miscellaneous·2021·Easy

Which one of the following is not a feature of the Constitution of India?

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Q.4305·Miscellaneous·2021·Easy

If x + y = 20 and P = xy, then what is the maximum value of P?

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Q.4306·Miscellaneous·2021·Easy

Which one of the following countries has the maximum time difference from Greenwich Mean Time (GMT)?

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Q.4307·Miscellaneous·2021·Easy

Which one of the following best describes the Lithosphere?

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Q.4308·Miscellaneous·2021·Easy

A 24 cm long wire is bent to form a triangle with one of the angles as 60°. What is the altitude of the triangle having the greatest possible area?

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Q.4309·Miscellaneous·2021·Easy

Which one of the following is not a soil forming factor?

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Q.4310·Miscellaneous·2021·Easy

Which one of the following is the correct sequence of layers as we move from the Earth's surface upwards?

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Q.4311·Miscellaneous·2021·Easy

A particle starts from origin with a velocity (in m/s) given by the equation dx/dt = x + 1. The time (in second) taken by the particle to traverse a distance of 24 m is

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Q.4312·Miscellaneous·2021·Easy

The Earth's atmosphere is mainly heated by which one of the following?

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Q.4313·Miscellaneous·2021·Easy

A chord subtends an angle 120° at the centre of a unit circle. What is the length of the chord?

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Q.4314·Miscellaneous·2021·Easy

If A and B are square matrices of order 2 such that det(AB) = det(BA), then which one of the following is correct?

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Q.4315·Miscellaneous·2021·Easy

If 1 x x+1 f(x) = ──────────────────────────────── 2x x(x - 1) x(x + 1) 3(x - 1)(x - 2) x(x + 1)(x - 1) then what is f(-1) + f(0) + f(1) equal to?

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Q.4316·Miscellaneous·2021·Easy

What is the interior angle of a regular octagon of side length 2 cm?

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Q.4317·Miscellaneous·2021·Easy

A ladder 6 m long reaches a point 6 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the top of the flagstaff is 75°. What is the height of the flagstaff?

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Q.4318·Miscellaneous·2021·Easy

If tan A = 1/7, then what is cos 2A equal to?

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Q.4319·Miscellaneous·2021·Easy

What is the area of the triangle ABC with sides a = 10 cm, c = 4 cm and angle B = 30°?

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Q.4320·Miscellaneous·2021·Easy

Consider the following statements: 1.A = {1, 3, 5} and B = {2, 4, 7} are equivalent sets. 2.A = {1, 5, 9} and B = {1, 5, 5, 9, 9} are equal sets. Which of the above statements is/are correct?

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