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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.2233·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.2234·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.2235·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.2236·Miscellaneous·2023·Easy

Let m and n be natural numbers. What is the minimum value of (m + n) such that 33m + 22n is divisible by 121 ?

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Q.2237·Miscellaneous·2023·Easy

If total surface area = 2 × curved surface area of a solid right circular cylinder = 3 × curved surface area. If h = height and r = radius, then

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Q.2238·Miscellaneous·2023·Easy

The product of two numbers is 2160 and their HCF is 12. If the sum of the squares of the two numbers is 4896, then what is the mean of the two numbers ?

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Q.2239·Miscellaneous·2023·Easy

The age of Q exceeds the age of P by 3 years. The age of R is twice the age of P and the age of Q is twice the age of S. Further, the age difference of R and S is 30 years. What is the sum of the ages of P and Q ?

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Q.2240·Miscellaneous·2023·Easy

There are four bells which ring at an interval of 15 minutes, 25 minutes, 35 minutes and 45 minutes respectively. If all of them ring at 9 A.M., how many more times will they ring together in the next 72 hours ?

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Q.2241·Miscellaneous·2023·Easy

A floor is 30 m 60 cm × 23 m 40 cm. Find the minimum number of square tiles required.

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Q.2242·Miscellaneous·2023·Easy

A solid cube is cut into 2 cuboids of equal volume. What is the ratio of total surface area of the given cube to one cuboid?

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Q.2243·Miscellaneous·2023·Easy

The surface area of a cube is increased by 25%. If p is the % increase in length, then:

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Q.2244·Miscellaneous·2023·Easy

A person on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 6 minutes for the angle of depression to change from 30° to 45°, and further t minutes to reach the tower, which one of the following is correct?

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Q.2245·Miscellaneous·2023·Easy

A, B and C can complete a work in x, 1.5x and 2x days respectively. If they complete the work together, in what ratio should they be paid ?

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Q.2246·Miscellaneous·2023·Easy

The speed of a boat in still water is 15 km/hr. If it can travel 42 km downstream and 28 km upstream in the same time, then what is the speed of the stream ?

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Q.2247·Miscellaneous·2023·Easy

If 17 women and 24 men can do a piece of work in 5 days and 12 women and 23 men can do it in 6 days, then which one of the following is correct ?

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Q.2248·Miscellaneous·2023·Easy

Three taps A, B and C together can fill a tank in 6 hours. Tap C alone can fill the tank in 12 hours. To fill the tank, when it is empty, all the three taps are started together. After working 1 hour, tap C is closed and the tank is filled in 8 more hours. What is it equal to ?

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Q.2249·Miscellaneous·2023·Easy

A woman is standing on the deck of a ship... Angle of elevation = 60°, depression = 30°. What is the height of the tower?

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Q.2250·Miscellaneous·2023·Easy

Let ABC be a right-angled triangle with sides 5 cm, 12 cm, and 13 cm. If p is the length of perpendicular from A on hypotenuse BC, what is 13p?

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