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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.8749·Miscellaneous·2017·Easy

Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm, is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served in this way is

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Q.8750·Miscellaneous·2017·Easy

In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA to OC equal to

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Q.8751·Miscellaneous·2017·Easy

If the surface area of a sphere is reduced to one-ninth of the area, its radius reduces to

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Q.8752·Miscellaneous·2017·Easy

If the radius of a right circular cone is increased by p% without increasing its height, then what is the percentage increase in the volume of the cone?

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Q.8753·Miscellaneous·2017·Easy

Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12 cm in length. If both chords are on the same side of the diameter, then the distance between these chords is

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Q.8754·Miscellaneous·2017·Easy

ABCDEF is a regular polygon. Two poles at C and D are standing vertically and subtend angles of elevation 30° and 60° at A respectively. What is the ratio of the height of the pole at C to that of the pole at D?

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Q.8755·Miscellaneous·2017·Easy

The area of a regular hexagon of side ‘a’ is equal to

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Q.8756·Miscellaneous·2017·Easy

Three circles each of radius 3.5 cm touch one another. The area subtended between them is

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Q.8757·Miscellaneous·2017·Easy

If each of the dimensions of a rectangle is increased by 200%, the area is increased by

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Q.8758·Miscellaneous·2017·Easy

Let P, Q, R be the mid-points of sides AB, BC, CA respectively of triangle ABC. If the area of triangle ABC is 5 square units, then the area of triangle PQR is

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Q.8759·Miscellaneous·2017·Easy

Let ABCD be a rectangle. Let P, Q, R, S be the mid-points of sides AB, BC, CD, DA respectively. Then the quadrilateral PQRS is a

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Q.8760·Miscellaneous·2017·Easy

The areas of two circular fields are in the ratio 16 : 49. If the radius of the bigger field is 14 m, then what is the radius of the smaller field?

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Q.8761·Miscellaneous·2017·Easy

A ball of radius 1 cm is put into a cylindrical pipe so that it fits inside the pipe. If the length of the pipe is 14 m, what is the surface area of the pipe?

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Q.8762·Miscellaneous·2017·Easy

The angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is

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Q.8763·Miscellaneous·2017·Easy

Which one of the following triples does not represent the sides of a triangle?

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Q.8764·Miscellaneous·2017·Easy

From the top of a building 90 m high, the angles of depression of the top and the bottom of a tree are 30° and 45° respectively. What is the height of the tree?

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Q.8765·Miscellaneous·2017·Easy

An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60° and 45° respectively. What is the height of the lower plane from the ground?

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Q.8766·Miscellaneous·2017·Easy

What is the value of sin x [ 1 / (1 + cos x) + 1 / (1 - cos x) ] ?

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