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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.10729·Miscellaneous·2015·Easy

The weighted arithmetic mean of first 10 natural numbers whose weights are equal to the corresponding numbers is equal to

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Q.10730·Miscellaneous·2015·Easy

Four years ago, the average age of A and B was 18 years. Now the average age of A, B and C is 24 years. After 8 years, the age of C will be

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Q.10731·Miscellaneous·2015·Easy

The average weight of students in a class is 43 kg. Four new students are admitted to the class whose weights are 42 kg, 36·5 kg, 39 kg and 42·5 kg respectively. Now the average weight of the students of the class is 42·5 kg. The number of students in the beginning was

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Q.10732·Miscellaneous·2015·Easy

How many right angled triangles can be formed by joining the vertices of a cuboid ?

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Q.10733·Miscellaneous·2015·Easy

If x = 91/216, then the value of 3 – [1 / (1 – x)^(1/3)] is

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Q.10734·Miscellaneous·2015·Easy

A and B are two taps which can fill a tank individually in 10 minutes and 20 minutes respectively. However, there is a leakage at the bottom, which can empty a filled tank in 40 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank with leakage?

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Q.10735·Miscellaneous·2015·Easy

The seven digit number 876p37q is divisible by 225. The values of p and q can be respectively

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Q.10736·Miscellaneous·2015·Easy

A number when divided by 7 leaves a remainder 3 and the resulting quotient when divided by 11 leaves a remainder 6. If the same number when divided by 11 leaves a remainder m and the resulting quotient when divided by 7 leaves a remainder n. What are the values of m and n respectively?  

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Q.10737·Miscellaneous·2015·Easy

The value of 1/1×4 + 1/4×7 + 1/7×10 + ...... + 1/16×19 is

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Q.10738·Miscellaneous·2015·Easy

A clock is started at noon. By 10 minutes past 5, through what angle, the hour hand moves ?

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Q.10739·Miscellaneous·2015·Easy

In a mixture of milk and water of volume 30 litre, the ratio of milk and water is 7 : 3. The quantity of water to be added to the mixture to make the ratio of milk and water 1 : 2 is

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Q.10740·Miscellaneous·2015·Easy

A sum of Rs. 10,000 is deposited for 1 year at the rate of interest 10% compounded half yearly. What will be the interest at the end of one year ?

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Q.10741·Miscellaneous·2015·Easy

The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one of the numbers is 93, then the other number is

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Q.10742·Miscellaneous·2015·Easy

A circle of radius r is inscribed in a regular polygon with n sides (the circle touches all sides of the polygon). If the perimeter of the polygon is p, then the area of the polygon is

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Q.10743·Miscellaneous·2015·Easy

Chord CD intersects the diameter AB of a circle at right angle at a point P in the ratio 1 : 2. If diameter of circle is d, then CD is equal to

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Q.10744·Miscellaneous·2015·Easy

In the above figure, ABCD is a parallelogram. P is a point on BC such that PB : PC = 1 : 2. DP and AB when both produced meet at Q. If area of triangle BPQ is 20 square unit, the area of triangle DCP is

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Q.10745·Miscellaneous·2015·Easy

A tin of oil was 4/5 full. When 6 bottles of oil were taken out from this tin and 4 bottles of oil were poured into it, it was 3/4 full. Oil of how many bottles can the tin contain? (All bottles are of equal volume)

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Q.10746·Miscellaneous·2015·Easy

From an external point P tangents PA and PB are drawn to the circle as shown in the above figure. CD is the tangent to the circle at E. If AP = 16 cm, then the perimeter of the triangle PCD is equal to

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