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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.12817·Miscellaneous·2013·Easy

In any triangle ABC, a = 18, b = 24 and c = 30. Then what is sin C equal to ?

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Q.12818·Miscellaneous·2013·Easy

A man walks 10 m towards a lamp post and notices that the angle of elevation of the top of the post increases from 30° to 45°. The height of the lamp post is

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Q.12819·Miscellaneous·2013·Easy

The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun’s elevation is 30° than when it is 60°. The height of the tower is

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Q.12820·Miscellaneous·2013·Easy

The angle of elevation of the top of a tower of height H from the foot of another tower in the same plane is 60° and the angle of elevation of the top of the second tower from the foot of the first tower is 30°. If h is the height of the other tower, then which one of the following is correct ?

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Q.12821·Miscellaneous·2013·Easy

What is the equation of a straight line which passes through (3, 4) and the sum of whose x and y intercepts is 14 ?

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Q.12822·Miscellaneous·2013·Easy

The difference of focal distances of any point on a hyperbola is equal to

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Q.12823·Miscellaneous·2013·Easy

What is the area of the triangle whose vertices are (3, 0), (0, 4) and (3, 4) ?

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Q.12824·Miscellaneous·2013·Easy

A straight line passes through the points (5, 0) and (0, 3). The length of the perpendicular from the point (4, 4) on the line is

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Q.12825·Miscellaneous·2013·Easy

The sum of the direction cosines of z-axis is

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Q.12826·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.12827·Miscellaneous·2013·Easy

A bag contains balls of two colours, 3 black and 3 white. What is the smallest number of balls which must be drawn from the bag, without looking, so that among these there are two of the same colour?

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Q.12828·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.12829·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.12830·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.12831·Miscellaneous·2013·Easy

The binary representation of the decimal number 45 is

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Q.12832·Miscellaneous·2013·Easy

Ward Cunningham is famous for developing for the first time

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Q.12833·Miscellaneous·2013·Easy

Which one among the following films won the prestigious Golden Globe Award, 2013 in the best motion picture—Drama category?

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Q.12834·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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