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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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Q.10801·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.10802·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.10803·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.10804·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.10805·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.10806·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.10807·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.10808·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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Q.10809·Miscellaneous·2015·Easy

AB is a line segment of length 2a, with M as mid-point. Semicircles are drawn on one side with AM, MB and AB as diameter as shown in the above figure. A circle with centre O and radius r is drawn such that this circle touches all the three semicircles. The value of r is

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Q.10810·Miscellaneous·2015·Easy

How many spherical bullets each of 4 cm in diameter can be made out of a cube of lead whose edge is 44 cm ?

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Q.10811·Miscellaneous·2015·Easy

Let V be the volume of an inverted cone with vertex at origin and the axis of the cone is along positive y-axis. The cone is filled with water up to half of its height. The volume of water is

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Q.10812·Miscellaneous·2015·Easy

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

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Q.10813·Miscellaneous·2015·Easy

Match List-1 with List—11 and select the correct answer using the code given below the Lists : List-I (Term) List-II (Meaning) A. Mihrab 1. Stepped pulpit B. Mimbar 2. Direction towards the Kaba for prayer C. Khutba 3. Arch D. Kibla 4. Sermon

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Q.10814·Miscellaneous·2015·Easy

The areas of three mutually perpendicular faces of a cuboid are x, y, z. If V is the volume, then xyz is equal to

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Q.10815·Miscellaneous·2015·Easy

Two trains are moving in the same direction at 1.5 km/minute and 60 km/h respectively. A man in the faster train observes that it takes 27 seconds to cross the slower train. The length of the slower train is  

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Q.10816·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.10817·Miscellaneous·2015·Easy

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

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Q.10818·Miscellaneous·2015·Easy

In this question consists of six sentences of a passage. The first and the sixth sentences are given in the beginning as S1 and S6. The middle four sentences in each have been jumbled up and labelled P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet. S1 : The colonial powers had a very simple technique to rule the world. S6 : Partition was the culmination. P : They lumped tribes and people together, played one against the other. Q : India’s provinces were more elaborately designed to play the game of divide and rule. R : Africa was divided, believe it or not, on the basis of the lines of longitude and latitude. S : They also purchased the loyalties of those locals who were needed as supports for the colonial presence. The proper sequence should be:

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