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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

Consider the following statements: 1. The derivative where the function attains maxima or minima must be zero. 2. If a function is differentiable at a point, then it must be continuous at that point. Which of the above statements is/are correct?

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Q.12800·Miscellaneous·2013·Easy

What is the area of the triangle bounded by the sides x = 0, y = 0 and x + y = 2?

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Q.12801·Miscellaneous·2013·Easy

The general solution of the differential equation ln(dy/dx) + x = 0 is where c is an arbitrary constant.

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Q.12802·Miscellaneous·2013·Easy

What is the area of the region enclosed by y = 2|x| and y = 4?

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Q.12803·Miscellaneous·2013·Easy

The differential equation of the curve y = sin x is

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Q.12804·Miscellaneous·2013·Easy

The degree and order respectively of the differential equation dy/dx = 1/(x + y + 1) are

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Q.12805·Miscellaneous·2013·Easy

The general solution of the differential equation x(dy/dx) + y = 0 is where c is an arbitrary constant.

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Q.12806·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.12807·Miscellaneous·2013·Easy

Which one of the following points lies inside a circle of radius 6 and centre at (3, 5) ?

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Q.12808·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.12809·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.12810·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.12811·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.12812·Miscellaneous·2013·Easy

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

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Q.12813·Miscellaneous·2013·Easy

The determinant of an orthogonal matrix is

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Q.12814·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.12815·Miscellaneous·2013·Easy

Consider the following statements: 1. A matrix is not a number. 2. Two determinants of different orders may have the same value. Which of the above statements is/are correct?

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Q.12816·Miscellaneous·2013·Easy

What is the value of tan 105°?

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