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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.3349·Miscellaneous·2022·Easy

Consider the following for the next two (02) items that follow : A chord of length I of a circle makes an angle 90° at the centre of the circle. What is the area of the minor segment ?

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Q.3350·Miscellaneous·2022·Easy

Consider the following for the next two (02) items that follow : A chord of length I of a circle makes an angle 90° at the centre of the circle. What is the area of the major segment ?

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Q.3351·Miscellaneous·2022·Easy

The perpendicular AD on the base BC of a triangle ABC intersects BC at D so that DB = 3 CD. Which one of the following is correct ?

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Q.3352·Miscellaneous·2022·Easy

The diameter of a sphere made of copper is 3 cm. The sphere is melted and recast into a wire. If the length of the wire is half metre, then what is the diameter of the wire ?

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Q.3353·Miscellaneous·2022·Easy

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its1 base. If its volume is of the volume of the 27 given cone, then what is the height of the frustum of the cone ?

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Q.3354·Miscellaneous·2022·Easy

A rectangular metal sheet is of length 24 cm and breadth 18 cm. From each of its corners a square of side x cm is cut off and an open box is made of the remaining sheet. If the volume of the box is 640 cubic cm, then what is the value of x ?

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Q.3355·Miscellaneous·2022·Easy

Let x, y, z be the length, breadth, height of a cuboid. If its volume is 400 cubic cm and total surface area is 340 square cm, then what is x^-1 + y^-1 + z^-1 equal to ?

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Q.3356·Miscellaneous·2022·Easy

Two parallel sides of a trapezium are 29 cm and 21 cm. Non-parallel sides are equal and each is of length 8-5 cm. What is the area of the trapezium ?

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Q.3357·Miscellaneous·2022·Easy

The area of a rhombus is 96 square cm and one of its diagonals is of length 12 cm. What is the perimeter of the rhombus ?

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Q.3358·Miscellaneous·2022·Easy

A right-angled triangle ABC is inscribed in a circle of radius 10 cm. The altitude drawn to the hypotenuse AC is of length 8 cm. If AB = x cm and BC = y cm, then what is the value of xy ?

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Q.3359·Miscellaneous·2022·Easy

A square and a rectangle have same perimeter. They differ in areas by 1 square cm. The length of the rectangle exceeds its breadth by

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Q.3360·Miscellaneous·2022·Easy

Two rectangles are of same area equal to 480 square cm. They differ in lengths by 6 cm and breadths by 4 cm. What is the difference in their perimeters ?

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Q.3361·Miscellaneous·2022·Easy

A closed box is built of wood of uniform thickness. Its external dimensions are 12 cm,10 cm and 8 cm. If the inner surface area is 376 square cm, then what is the thickness of the wood ?

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Q.3362·Miscellaneous·2022·Easy

X, Y and Z are three equilateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are6 cm and 8 cm respectively, then what is the side length of Z ?

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Q.3363·Miscellaneous·2022·Easy

What is the time taken by a person to cover one round of a circular park of diameter 210 m 22 if he walks at a speed of 6 km/hr ?

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Q.3364·Miscellaneous·2022·Easy

In an equilateral triangle of side 2√3 cm, a circle is inscribed touching the sides. What is the area of the remaining portion of the triangle ?

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Q.3365·Miscellaneous·2022·Easy

A triangle has side lengths x cm, x + 13 cm and x + 26 cm. If its area is 126 square cm, then what is the value of x ?

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Q.3366·Miscellaneous·2022·Easy

ABCD is a parallelogram. A circle through A, B and C intersects CD (produced) at E. Which of the following is/are correct ? 1. AE = AD 2. CD = DE Select the correct answer using the code given below:

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