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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.2215·Miscellaneous·2023·Easy

Consider the following data for the next two (02) items that follow: Class 0 – 30 30 – 60 60 – 90 90 – 120 Frequency 4 5 7 4 What is the mode of the distribution ?

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Q.2216·Miscellaneous·2023·Easy

Consider the following data for the next two (02) items that follow: Class 40 – 50 50 – 60 60 – 70 70 – 80 Frequency 4 3 1 2 If M is the median, then what is the value of 3M ?

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Q.2217·Miscellaneous·2023·Easy

The plinth of a house has an area of 200 square metres. It is rectangular in shape and its length and breadth are in the ratio 2 : 1. The owner of the house extends the terrace by 1 m on each side. What is the percentage of area that has increased in the terrace relative to the plinth ?  

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Q.2218·Miscellaneous·2023·Easy

The volume of a cuboid is 3600 cubic cm. The areas of two adjacent faces are 225 square cm and 144 square cm. What is the area of the other adjacent face ?

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Q.2219·Miscellaneous·2023·Easy

In the triangle ABC, AB = 6 cm, BC = 8 cm and AC = 10 cm. The perpendicular dropped from B meets the side AC at D. A circle of radius BD (with centre B) cuts AB and BC at P and Q respectively as shown in the figure. What is the radius of the circle ?

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Q.2220·Miscellaneous·2023·Easy

What is the area of the circle C? Statement I: An arc of length 7 cm subtends an angle 30° at the centre of C. Statement II: A chord of length 10 cm subtends an angle 90° at the centre of C.

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Q.2221·Miscellaneous·2023·Easy

A chord PQ of the circle C divides it into two segments such that 3 times the area of the major segment is 4 times the area of the minor segment. What is the radius of C? Statement I: Area of the minor segment is 66 square cm. Statement II: Area of the major segment is 88 square cm.

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Q.2222·Miscellaneous·2023·Easy

A triangle ABC has been divided into four smaller triangles P, Q, R, S whose perimeters are 16 cm, 12 cm, 4 cm and 12 cm respectively. P, R and S contain the vertices A, B and C respectively. What is the perimeter of the triangle ABC ?

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Q.2223·Miscellaneous·2023·Easy

A number 27TXY5 (where X, Y are digits) is divisible by 25. Question: What is the value of X? Statement I: The given number is divisible by 9. Statement II: X > 5.

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Q.2224·Miscellaneous·2023·Easy

Is m > n, where m, n are non-zero numbers? Statement I: m/n > 1. Statement II: m > 2n.

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Q.2225·Miscellaneous·2023·Easy

Can a circle be drawn through the points A, B and C? Statement I: AB = 5 cm, BC = 5 cm, CA = 6 cm. Statement II: AB = 3 cm, BC = 4 cm, CA = 7 cm.

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Q.2226·Miscellaneous·2023·Easy

Let x be the area of a square inscribed in a circle of radius r and y be the area of an equilateral triangle inscribed in the same circle. Which one of the following is correct ?

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Q.2227·Miscellaneous·2023·Easy

If the length of a rectangle is increased by 66 2/3%, then by what percent should the width of the rectangle be decreased in order to maintain the same area ?

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Q.2228·Miscellaneous·2023·Easy

How long will a man take to walk around the boundary of a square field of area 25 hectares at the rate of 5 km/hr ?

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Q.2229·Miscellaneous·2023·Easy

What is the maximum area that can be covered by three non-intersecting circles drawn inside a rectangle of sides 8 cm and 12 cm ?

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Q.2230·Miscellaneous·2023·Easy

A solid iron ball is melted and 64 smaller solid balls of equal size are made using the entire volume of iron. What is the ratio of the surface area of the larger ball to the sum of the surface areas of all the smaller balls ?

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Q.2231·Miscellaneous·2023·Easy

x and y are consecutive odd integers. Question: Can the value of (x + y) be determined uniquely? Statement I: (x + y)⁴ = 256. Statement II: (x + y)³ < 16.

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Q.2232·Miscellaneous·2023·Easy

Let X = {x | x = 2 + 4k, where k = 0, 1, 2, 3, ...24}. Let S be a subset of X such that the sum of no two elements of S is 100. What is the maximum possible number of elements in S ?

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