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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.12691·Miscellaneous·2013·Easy

If A = {1, 3, 5, 7}, then what is the cardinality of the power set P(A)?

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Q.12692·Miscellaneous·2013·Easy

P : know how to do it Q : have to R : because she does not S : help her The correct sequence should be

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Q.12693·Miscellaneous·2013·Easy

Let f be a function from the set of natural numbers to the set of even natural numbers given by f(x) = 2x. Then f is

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Q.12694·Miscellaneous·2013·Easy

P : like to come on Saturday Q : at the International House R : to a concert S : Would you The correct sequence should be

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Q.12695·Miscellaneous·2013·Easy

P : to be admitted Q : not necessary that R : to an engineering college S : you qualify an entrance examination The correct sequence should be

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Q.12696·Miscellaneous·2013·Easy

What is the angle (in circular measure) between the hour hand and the minute hand of a clock when the time is half past 4 ?

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Q.12697·Miscellaneous·2013·Easy

The angles of elevation of the top of a tower from two places situated at distances 21 m and x m from the base of the tower are 45° and 60° respectively. What is the value of x?

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Q.12698·Miscellaneous·2013·Easy

What is (cot 54° / tan 36°) + (tan 20° / cot 70°) equal to?

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Q.12699·Miscellaneous·2013·Easy

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite of bank is 60°. When he retires 40 m from the bank, he finds the angle to be 30°. What is the breadth of the river?

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Q.12700·Miscellaneous·2013·Easy

What is the value of the determinant | 1 bc a(b + c) | | 1 ca b(c + a) | | 1 ab c(a + b) |

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Q.12701·Miscellaneous·2013·Easy

Consider the following : 1. A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) 2. A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) Which of the above is/are correct?

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Q.12702·Miscellaneous·2013·Easy

A number in binary system is 110001. It is equal to which one of the following numbers in decimal system?

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Q.12703·Miscellaneous·2013·Easy

The sum of the first five terms and the sum of the first ten terms of an AP are same. Which one of the following is the correct statement?

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Q.12704·Miscellaneous·2013·Easy

Consider the following: 1. tan(π/6) 2. tan(3π/4) 3. tan(5π/4) 4. tan(2π/3) What is the correct order?

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Q.12705·Miscellaneous·2013·Easy

If the three vertices of the parallelogram ABCD are A(1, a), B(3, a), C(2, b), then D is equal to

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Q.12706·Miscellaneous·2013·Easy

The value of k for which the lines 2x + 3y + a = 0 and 5x + ky + a = 0 represent family of parallel lines is

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Q.12707·Miscellaneous·2013·Easy

What is the equation of the line which passes through (4, -5) and is perpendicular to 3x + 4y + 5 = 0 ?

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Q.12708·Miscellaneous·2013·Easy

For what value of k are the two straight lines 3x + 4y = 1 and 4x + 3y + 2k = 0 equidistant from the point (1, 1)?

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