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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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  2. /Prelims Questions
Q.4591·Miscellaneous·2021·Easy

20 men are supposed to complete a work in 10 days. After working for 5 days, they realise that only one-fourth of the work is done. How many more men they need to employ to finish the work on time ?

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Q.4592·Miscellaneous·2021·Easy

If x is a negative real number, then which of the following are not correct ? 1. There is some natural number k such that kx > 0 2. x² + x > 0 always 3. x < x < –x 4. x² is always a rational number Select the correct answer using the code given below:

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Q.4593·Miscellaneous·2021·Easy

The sum and the product of the roots of a quadratic equation are 7 and 12 respectively. If the bigger root is halved and the smaller root is doubled, then what is the resulting quadratic equation ?

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Q.4594·Miscellaneous·2021·Easy

The LCM of two prime numbers p and q is 2213, where p &gt; q. What is the value of p – q ?

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Q.4595·Miscellaneous·2021·Easy

Three runners are running in a circular track, and they complete one round in 20, 30 and 35 minutes respectively. When will they next meet at the starting point ?

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Q.4596·Miscellaneous·2021·Easy

If ay – bx / c = cx – az / b = bz – cy / a, then which of the following is/are correct ? 1. x = y / a 2. x + y + z / a + b + c = z / c Select the correct answer using the code given below :

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Q.4597·Miscellaneous·2021·Easy

A two-digit number is such that the product of the digits is 8. If 63 is added to this number, the digits interchange their places. What is the sum of the digits in the number ?

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Q.4598·Miscellaneous·2021·Easy

The sum of numerator and denominator of a fraction is 10. If the numerator is increased by 3 and denominator is decreased by 1, the fraction becomes 1. What is the difference between numerator and denominator of the fraction?

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Q.4599·Miscellaneous·2021·Easy

If the system of equations 7x + ky = 27 and kx + 7y = 19 have unique solution, then which one of the following is correct?

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Q.4600·Miscellaneous·2021·Easy

A sum of money compounded annually doubles itself in 5 years. In how many years will it become four times of itself?

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Q.4601·Miscellaneous·2021·Easy

Inceptisols, Entisols, Vertisols and Mollisols are orders of which one of the following?

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Q.4602·Miscellaneous·2021·Easy

Which one of the following equations does not have real roots ?

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Q.4603·Miscellaneous·2021·Easy

Consider the following inequalities: 1. sin1° < cos57° 2. cos60° > sin57° Which of the above is/are correct?

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Q.4604·Miscellaneous·2021·Easy

A solid sphere of diameter 60 mm is melted to stretch into a wire of length 144 cm. What is the diameter of the wire?

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Q.4605·Miscellaneous·2021·Easy

A cone and a hemisphere have equal bases and equal volumes. What is the ratio of the height of the cone to the radius of the hemisphere?

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Q.4606·Miscellaneous·2021·Easy

A pole on the ground leans at 60° with the vertical. At a point x metre away from the base of the pole on the ground, two halves of the pole subtend the same angle. If the pole and the point are in the same vertical plane, then what is the length of the pole?

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Q.4607·Miscellaneous·2021·Easy

Let ABC be a triangle right angled at C, then what is tan A + tan B equal to?

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Q.4608·Miscellaneous·2021·Easy

What is the approximate percentage of carbon in the Earth’s crust?

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