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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.12763·Miscellaneous·2013·Easy

In how many ways can the letters of the word 'GLOOMY' be arranged so that the two O's should not be together?

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Q.12764·Miscellaneous·2013·Easy

Consider a random experiment of throwing together a die and two coins. The associated sample space has

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Q.12765·Miscellaneous·2013·Easy

In throwing a six-faced die, let A be the event that an even number occurs, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct?

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Q.12766·Miscellaneous·2013·Easy

What is the probability of getting a sum of 7 with two dice?

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Q.12767·Miscellaneous·2013·Easy

Four coins are tossed simultaneously. What is the probability of getting exactly 2 heads?

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Q.12768·Miscellaneous·2013·Easy

A bag contains 5 black and 3 white balls. Two balls are drawn at random one after the other without replacement. What is the probability that both are white?

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Q.12769·Miscellaneous·2013·Easy

A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses is

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Q.12770·Miscellaneous·2013·Easy

If X follows a binomial distribution with parameters n = 100 and p = 1/3, then P(X = r) is maximum when

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Q.12771·Miscellaneous·2013·Easy

Two numbers are successively drawn from the set U = {1, 2, 3, 4, 5, 6, 7, 8}, the second being drawn without replacing the first. The number of elementary events in the sample is

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Q.12772·Miscellaneous·2013·Easy

The binomial distribution has

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Q.12773·Miscellaneous·2013·Easy

A bag contains balls of two colours, 3 black and 3 white. What is the smallest number of balls which must be drawn from the bag, without looking, so that among these there are two of the same colour?

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Q.12774·Miscellaneous·2013·Easy

The general solution of the differential equation ln(dy/dx) + x = 0 is where c is an arbitrary constant.

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Q.12775·Miscellaneous·2013·Easy

The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun’s elevation is 30° than when it is 60°. The height of the tower is

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Q.12776·Miscellaneous·2013·Easy

A man walks 10 m towards a lamp post and notices that the angle of elevation of the top of the post increases from 30° to 45°. The height of the lamp post is

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Q.12777·Miscellaneous·2013·Easy

In any triangle ABC, a = 18, b = 24 and c = 30. Then what is sin C equal to ?

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Q.12778·Miscellaneous·2013·Easy

What is the value of tan 105°?

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Q.12779·Miscellaneous·2013·Easy

What is the area of the region enclosed by y = 2|x| and y = 4?

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Q.12780·Miscellaneous·2013·Easy

Consider the following statements: 1. A matrix is not a number. 2. Two determinants of different orders may have the same value. Which of the above statements is/are correct?

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