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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.10819·Miscellaneous·2015·Easy

ABC is a triangle right-angled at B and AB : BC = 3 : 4. What is sin A + sin B + sin C equal to?

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Q.10820·Miscellaneous·2015·Easy

Two circles, each of radius r, with centres P and Q, are such that each circle passes through the centre of the other circle. Then the area common to the circles is less than one-third of the sum of the areas of the two circles by

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Q.10821·Miscellaneous·2015·Easy

A sphere and a cube have same surface area. The ratio of square of their volumes is

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Q.10822·Miscellaneous·2015·Easy

The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of the cone. The ratio of the height of the cone to the radius of its base is

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Q.10823·Miscellaneous·2015·Easy

Water flows through a cylindrical pipe of internal diameter 7 cm at the rate of 5 m/s. The time, in minutes, the pipe would take to fill an empty rectangular tank 4 m × 3 m × 2.31 m is

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Q.10824·Miscellaneous·2015·Easy

The total outer surface area of a right circular cone of height 24 cm with a hemisphere of radius 7 cm upon its base is

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Q.10825·Miscellaneous·2015·Easy

The last digit in the expansion of 17^256 is

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Q.10826·Miscellaneous·2015·Easy

A rectangular block of wood having dimensions 3 m × 2 m × 1.75 m has to be painted on all its faces. The layer of paint must be 0.1 mm thick. Paint comes in cubical boxes having their edges equal to 10 cm. The minimum number of boxes of paint to be purchased is

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Q.10827·Miscellaneous·2015·Easy

A rectangular paper of 44 cm long and 6 cm wide is rolled to form a cylinder of height equal to width of the paper. The radius of the base of the cylinder so rolled is

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Q.10828·Miscellaneous·2015·Easy

The sides of a triangle are 25 cm, 39 cm and 56 cm. The perpendicular from the opposite vertex on the side of 56 cm is

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Q.10829·Miscellaneous·2015·Easy

From a circular piece of cardboard of radius 3 cm, two sectors of 40° each have been cut off. The area of the remaining portion is

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Q.10830·Miscellaneous·2015·Easy

Three equal circles each of diameter d are drawn on a plane in such a way that each circle touches the other two circles. A big circle is drawn in such a manner that it touches each of the small circles internally. The area of the big circle is

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Q.10831·Miscellaneous·2015·Easy

If the angle between the radii of a circle is 130°, then the angle between the tangents at the ends of the radii is

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Q.10832·Miscellaneous·2015·Easy

At 8:30, the hour hand and the minute hand of a clock form an angle of

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Q.10833·Miscellaneous·2015·Easy

The complement angle of 80° is

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Q.10834·Miscellaneous·2015·Easy

Consider the following statements: 1.If non-parallel sides of a trapezium are equal, then it is cyclic. 2.If the chord of a circle is equal to its radius, then the angle subtended by this chord at a point in major segment is 30°. Which of the above statements is/are correct?

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Q.10835·Miscellaneous·2015·Easy

Consider the following frequency distribution: What is the median class?

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Q.10836·Miscellaneous·2015·Easy

Consider the following frequency distribution: What is the median of the distribution?

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