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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.11377·Miscellaneous·2014·Easy

a + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is |a + b| equal to ?

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Q.11378·Miscellaneous·2014·Easy

A cylinder is inscribed in a sphere of radius r. What is the height of the cylinder of maximum volume ?

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Q.11379·Miscellaneous·2014·Easy

A cylinder is inscribed in a sphere of radius r. What is the radius of the cylinder of maximum volume ?

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Q.11380·Miscellaneous·2014·Easy

Consider the function f''(x) = sec^4 x + 4 with f(0) = 0 and f'(0) = 0. What is f'(x) equal to ?

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Q.11381·Miscellaneous·2014·Easy

Consider the function f''(x) = sec^4 x + 4 with f(0) = 0 and f'(0) = 0. What is f(x) equal to ?

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Q.11382·Miscellaneous·2014·Easy

Suppose A and B are two events. Event B has occurred and it is known that P(B) < 1. What is P(A | B') equal to ?

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Q.11383·Miscellaneous·2014·Easy

Consider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. A, B and D are

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Q.11384·Miscellaneous·2014·Easy

Consider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. A, B and C are

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Q.11385·Miscellaneous·2014·Easy

Consider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. B and C are

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Q.11386·Miscellaneous·2014·Easy

Consider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. C and E are

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Q.11387·Miscellaneous·2014·Easy

Consider the following statements in respect of histogram : 1.The histogram is a suitable representation of a frequency distribution of a continuous variable. 2.The area included under the whole histogram is the total frequency. Which of the above statements is/are correct ?

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Q.11388·Miscellaneous·2014·Easy

The regression lines will be perpendicular to each other if the coefficient of correlation r is equal to

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Q.11389·Miscellaneous·2014·Easy

For any two events A and B, which one of the following holds ?

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Q.11390·Miscellaneous·2014·Easy

The probability that in a random arrangement of the letters of the word ‘UNIVERSITY’, the two I’s do not come together is

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Q.11391·Miscellaneous·2014·Easy

There are 4 white and 3 black balls in a box. In another box, there are 3 white and 4 black balls. An unbiased die is rolled. If it shows a number less than or equal to 3, then a ball is drawn from the second box, otherwise from the first box. If the ball drawn is black, then the probability that the ball was drawn from the first box is

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Q.11392·Miscellaneous·2014·Easy

What is the mean deviation about the mean for the data 4, 7, 8, 9, 10, 12, 13, 17 ?

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Q.11393·Miscellaneous·2014·Easy

The variance of 20 observations is 5. If each observation is multiplied by 2, then what is the new variance of the resulting observations ?

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Q.11394·Miscellaneous·2014·Easy

Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?

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