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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.12799·Miscellaneous·2013·Easy

If D is a determinant of order 3 and D' is the determinant obtained by replacing the elements of D by their cofactors, then which one of the following is correct?

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Q.12800·Miscellaneous·2013·Easy

The determinant of an orthogonal matrix is

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Q.12801·Miscellaneous·2013·Easy

The value of the determinant | m n p | | p m n | | n p m |

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Q.12802·Miscellaneous·2013·Easy

The roots of the equation | 1 t-1 1 | | t-1 1 1 | = 0 | 1 1 t-1 |

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Q.12803·Miscellaneous·2013·Easy

What is the value of the minor of the element 9 in the determinant | 10 19 2 | | 0 13 1 | | 9 24 2 | ?

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Q.12804·Miscellaneous·2013·Easy

If A and B are two non-singular square matrices such that AB = A, then which one of the following is correct?

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Q.12805·Miscellaneous·2013·Easy

If the numbers n - 3, 4n - 2, 5n + 1 are in AP, what is the value of n?

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Q.12806·Miscellaneous·2013·Easy

For what value of k, the equations 3x - y = 8 and 9x - ky = 24 will have infinitely many solutions?

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Q.12807·Miscellaneous·2013·Easy

Two straight line paths are represented by the equations 2x - y = 2 and -4x + 2y = 6. Then the paths will

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Q.12808·Miscellaneous·2013·Easy

If the sum of the roots of a quadratic equation is 3 and the product is 2, then the equation is

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Q.12809·Miscellaneous·2013·Easy

The area of a rectangle whose length is five more than twice its width is 75 square unit. The length is

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Q.12810·Miscellaneous·2013·Easy

If P(77, 31) = x and C(77, 31) = y, then which one of the following is correct?

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Q.12811·Miscellaneous·2013·Easy

The binary representation of the decimal number 45 is

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Q.12812·Miscellaneous·2013·Easy

If A is a relation on a set R, then which one of the following is correct?

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Q.12813·Miscellaneous·2013·Easy

A force F is applied on a body (which moves on a straight line) for a duration of 3 s. The momentum of the body changes from 10 g cm/s to 40 g cm/s. The magnitude of the force F is

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Q.12814·Miscellaneous·2013·Easy

Which among the following areas is conducive for well irrigation?

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Q.12815·Miscellaneous·2013·Easy

Humid climate, ready market and availability of cheap and skilled labour are the conditions conducive for the production of cotton cloth. Which of the following States of India will have the highest cotton cloth production?

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Q.12816·Miscellaneous·2013·Easy

The requirement of water is highest in which one among the following industries?

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