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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.1351·Miscellaneous·2024·Easy

A sum of money invested at simple interest triples itself in 8 years and becomes n times in 20 years. What is the value of n?

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Q.1352·Miscellaneous·2024·Easy

If the work done by x men in (x + 1) days is equal to the work done by (x + 5) men in (x – 2) days, then what is the value of x?

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Q.1353·Miscellaneous·2024·Easy

Two trains A and B leave Delhi for Hyderabad at 7:00 a.m. and 7:50 a.m. on the same day and travel at 80 kmph and 100 kmph respectively. After how many kilometers from Delhi will the two trains be together?

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Q.1354·Miscellaneous·2024·Easy

In a quadrilateral ABCD, AB = BC and CD = DA; AC and BD are diagonals such that AC = 6 cm and BD = 12 cm. What is the area of the quadrilateral?

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Q.1355·Miscellaneous·2024·Easy

ABCD is a circle with centre O and taking OC as a diameter, a circle is drawn as shown in the figure given below. Let OB = 7 cm. (Use π = 22/7). What is the ratio of the area of the shaded region to the area of the non-shaded region?

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Q.1356·Miscellaneous·2024·Easy

Consider two identical rectangles ABCD and BEDF as shown in the figure given below. Let AB = 1 cm and BC = 2 cm. What is the area of the non-overlapping region ?

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Q.1357·Miscellaneous·2024·Easy

Consider the following statements: 1. In a triangle ABC, if sin⁡A+sin⁡B+sin⁡C=3√3/2 ​ ​ , then the triangle can be equilateral. 2. In a triangle ABC, if cos⁡A+cos⁡B+cos⁡C=3/2 ​ , then the triangle can be equilateral. Which of the statements given above is/are correct?

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Q.1358·Miscellaneous·2024·Easy

Two circles with centres at O 1 ​ and O 2 touching each other are placed inside a rectangle of sides 9 cm and 8 cm as shown in the figure given below. What is the area of the shaded region ?

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Q.1359·Miscellaneous·2024·Easy

Two circles with centres at O 1 and O 2 touching each other are placed inside a rectangle of sides 9 cm and 8 cm as shown in the figure given below. What is the sum of the areas of the two circles ?

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Q.1360·Miscellaneous·2024·Easy

If (a + b) : (b + c) : (c + a) = 5 : 7 : 6, then what is the value of (a – b + c) : (a + b – c)?

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Q.1361·Miscellaneous·2024·Easy

The speeds of four cars are 2u, 3u, 4u and xu and the time taken by them to cover the same distance is xt, 4t, 3t and 2t respectively, where x, u, t are real numbers. What is the value of x ?

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Q.1362·Miscellaneous·2024·Easy

If the difference between the interior and exterior angles of a regular polygon is 144°, then what is the number of sides of the polygon ?

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Q.1363·Miscellaneous·2024·Easy

If p, q and r are the lengths (in cm) of the sides of a right-angled triangle, then (p - q – r)(q – r – p)(r – p - q) is always

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Q.1364·Miscellaneous·2024·Easy

The length, breadth and height of a cuboid are increased by 10%, 20% and 50% respectively. What is the percentage increase in volume of the cuboid?

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Q.1365·Miscellaneous·2024·Easy

The angles of elevation of the top of a tower from two points A and B at a distance of x m and (x + 5) m from the base of the tower of height 6 m and in the same straight line with it are complementary. What is the value of x?

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Q.1366·Miscellaneous·2024·Easy

If tan (3A) = cot (A – 22°), where 3A is an acute angle, then what is the value of A?

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Q.1367·Miscellaneous·2024·Easy

p number of men can finish a piece of work in q days. If there are 50% more men, then the work will be finished 12 days earlier. What is the value of q?

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Q.1368·Miscellaneous·2024·Easy

Let ABCD be the diameter of a circle of radius 6 cm. The lengths AB, BC and CD are equal. Semi-circles are drawn with AB and BD as diameters as shown in the figure given below. What is the ratio of the area of the shaded region to that of the non-shaded region ?

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