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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.253·Miscellaneous·2025·Easy

ABC is a triangle right-angled at B. The perimeter of the triangle is 24 cm and the difference between the sum of the perpendicular sides and the hypotenuse is 4 cm. What is the area of the triangle ABC?

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Q.254·Miscellaneous·2025·Easy

Consider the following for the next two (02) items that follow: A frustum of a right cone has a top of diameter 2k, bottom of diameter 2.5k and height h. What is the volume of the frustum?

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Q.255·Miscellaneous·2025·Easy

A circle M of radius 8 cm touches externally with another circle N of radius 16 cm. Let P, Q be the points where the common tangent touches the circles M and N respectively. What is the length of the common tangent PQ?

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Q.256·Miscellaneous·2025·Easy

Consider the following for the next two (02) items that follow: A frustum of a right cone has a top of diameter 2k, bottom of diameter 2.5k and height h. What is the whole surface area of the frustum?

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Q.257·Miscellaneous·2025·Easy

The lake atop the mountain has always been the lyre for intrepid hikers. Select the most appropriate option that is an improvement of the underlined word in the context of the sentence, and mark your response on the Answer Sheet accordingly.

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Q.258·Miscellaneous·2025·Easy

A train of certain length takes time t to pass completely through a station of length x. The same train with same speed takes time 2t to pass completely through another station of length y. What is the time taken by the train to pass completely through a station of length (x+y)?

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Q.259·Miscellaneous·2025·Easy

A pot is made from a hollow sphere of inner radius 20 cm by cutting its upper portion horizontally. The height of the pot is 30 cm. What is the inner radius of the circular opening of the pot so formed?

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Q.260·Miscellaneous·2025·Easy

A light bulb rated as 60 W at 220 V has a potential difference of 110 V across its ends. The power dissipated in this light bulb is:

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Q.261·Miscellaneous·2025·Easy

Which one among the following is used in a simple microscope? - CDS General Knowledge 2025

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Q.262·Miscellaneous·2025·Easy

The ratio of sum of two numbers to their difference is 5:1. What is the ratio of the sum of their squares to the difference of their squares?

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Q.263·Miscellaneous·2025·Easy

There are two natural numbers m and n (m>n). When m is divided by 12, it leaves a remainder 4. When n is divided by 12, it leaves a remainder 6. Which of the following statements is/are correct? I. The remainder when (m+n) is divided by 12 is 10. II. The remainder when (m−n) is divided by 12 is 10. Select the correct answer using the code given below:

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Q.264·Miscellaneous·2025·Easy

What is the maximum value of the sum of the numbers 36,33,30,27,24,...?

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Q.265·Miscellaneous·2025·Easy

Which one among the following statements is not correct?

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Q.266·Miscellaneous·2025·Easy

Travelling at 3/5th of his usual speed, a man is late by 20 minutes. What is the usual time if he travels with his usual speed?

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Q.267·Miscellaneous·2025·Easy

A circle M of radius 8 cm touches externally with another circle N of radius 16 cm. Let P, Q be the points where the common tangent touches the circles M and N respectively. If U, V are the centres of the circles M and N respectively, then what is the area of the quadrilateral formed by the points P, Q, V and U?

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Q.268·Miscellaneous·2025·Easy

A motorcycle has initial velocity of 5 m/s. After 3 seconds, the velocity is 7 m/s. The displacement of the motorcycle in 3 seconds is:

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Q.269·Miscellaneous·2025·Easy

What is the least number of complete years in which a sum of money put out at 20% compound interest (compounded annually) will be more than doubled?

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Q.270·Miscellaneous·2025·Easy

The minimum power required to lift a mass of 50 kg up to a vertical distance of 8 m in 10 sis: (Take g = 10 m/s2)

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