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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.13753·Miscellaneous·2012·Easy

For the differential equation (dy/dx)^2 - x(dy/dx) + y = 0, which one of the following is not its solution ?

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Q.13754·Miscellaneous·2012·Easy

What is the general solution of the differential equation x^2 dy + y^2 dx = 0 ?

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Q.13755·Miscellaneous·2012·Easy

What is the general solution of the differential equation e^x tan y dx + (1 - e^x) sec^2 y dy = 0 ?

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Q.13756·Miscellaneous·2012·Easy

EFGH is a rhombus such that the angle EFG is 60°. The magnitude of vectors FH and (m EG) are equal where m is a scalar. What is the value of m ?

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Q.13757·Miscellaneous·2012·Easy

Consider the following : 1. 4i×3i = 0 2. (4i/3i) = 4/3 Which of the above is/are correct ?

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Q.13758·Miscellaneous·2012·Easy

The magnitude of the scalar p for which the vector p(-3i - 2j + 13k) is of unit length is :

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Q.13759·Miscellaneous·2012·Easy

The vector 2j - k lies :

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Q.13760·Miscellaneous·2012·Easy

An iron ball and a wooden ball of the same radius are released from a height 'H' in vacuum. The time taken to reach the ground will be

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Q.13761·Miscellaneous·2012·Easy

Match List I with List II and select the correct answer using the code given below the Lists: List I (Magnet) List II (Property) A. Artificial magnet 1. Long lived B. Permanent magnet 2. Last for infinitely long period C. Temporary magnet 3. Short lived D. Earth as a magnet 4. Induced magnet Code

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Q.13762·Miscellaneous·2012·Easy

A body weighs 5 kg on equator. At the poles it is likely to weigh

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Q.13763·Miscellaneous·2012·Easy

The polarity of an unmarked horse shoe magnet can be determined by using

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Q.13764·Miscellaneous·2012·Easy

Plan Balkan was

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Q.13765·Miscellaneous·2012·Easy

A staircase has 5 steps each 10 cm high and 10 cm wide. What is the minimum horizontal velocity to be given to the ball so that it hits directly the lowest plane from the top of the staircase? (g = 10 ms⁻²)

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Q.13766·Miscellaneous·2012·Easy

Consider the following statements: 1. If a piece of bar magnet is broken into two equally long pieces, the pieces will not lose the magnetic properties. 2. Magnetic properties of a substance lie in the atomic level. Which of the statements given above is/are correct?

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Q.13767·Miscellaneous·2012·Easy

Consider the following circuit: The current flowing through each of the resistors connected in the above circuit is

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Q.13768·Miscellaneous·2012·Easy

Consider the following statements: The state government shall appoint a Finance Commission to review the financial position of the Panchayats and to make recommendations as to 1. the distribution between the state and Panchayats of the net proceeds of taxes, tolls and fees leviable by the states. 2. the determination of the taxes, duties, tolls and fees which may be assigned to the Panchayats. 3. the principles that will determine grant-in-aid to the Panchayats. Which of the statements given above is/are correct?

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Q.13769·Miscellaneous·2012·Easy

Navroze is a festival celebrated in India by the

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Q.13770·Miscellaneous·2012·Easy

Which one among the following monuments was earlier known as ‘All India War Memorial’?

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