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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.703·Miscellaneous·2024·Easy

If then what is modulus of Z equal to?

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Q.704·Miscellaneous·2024·Easy

What is the mean of the distribution?

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Q.705·Miscellaneous·2024·Easy

The marks obtained by 10 students in a Statistics test are 24, 47, 18, 32, 19, 15, 21, 35, 50 and 41. What is the mean deviation of the largest five observations ?

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Q.706·Miscellaneous·2024·Easy

A, B and C are three events such that P(A) = 0-6, P(B) = 0-4, P(C) = 0-5, P(AUB) = 0-8, P(ANC) = 0-3 and P(ANBNC) = 0-2 and P(AUBUC) > 0-85. What is the maximum value of P(B|C)?

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Q.707·Miscellaneous·2024·Easy

An unbiased coin is tossed n times. The probability of getting at least one tail is p and the probability of at least two tails is q and p - q = 5/32 What is the value of p + q ?

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Q.708·Miscellaneous·2024·Easy

The marks obtained by 10 students in a Statistics test are 24, 47, 18, 32, 19, 15, 21, 35, 50 and 41. What is the variance of the largest five observations ?

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Q.709·Miscellaneous·2024·Easy

Let X be a matrix of order 3×3, Y be a matrix of order 2×3 and Z be a matrix of order 3×2. Which of the following statements are correct? I. Z(YX) is defined and is a square matrix of order 3. II. Y(XZ) is defined and is a square matrix of order 2. III. X(YZ) is not defined. Select the answer using the code given below.

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Q.710·Miscellaneous·2024·Easy

Let x > 1, y > 1, z > 1 be in GP. Then 1 / (1 + ln x), 1 / (1 + ln y), 1 / (1 + ln z) are

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Q.711·Miscellaneous·2024·Easy

In how many ways can the letters of the word INDIA be permuted such that in each combination, vowels should occupy odd positions?

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Q.712·Miscellaneous·2024·Easy

Let A and B be two events such that P(AUB) ≥ 0-75 and 0-125 < P(ANB) 0-375. What is the maximum value of P(A) + P(B)?

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Q.713·Miscellaneous·2024·Easy

A, B and C are three events such that P(A) = 0-6, P(B) = 0-4, P(C) = 0-5, P(AUB) = 0-8, P(ANC) = 0-3 and P(ANBNC) = 0-2 and P(AUBUC) > 0-85. What is the minimum value of P(B|C)?

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Q.714·Miscellaneous·2024·Easy

The letters of the word EQUATION are arranged in such a way that all vowels as well as consonants are together. How many such arrangements are there?

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Q.715·Miscellaneous·2024·Easy

Freedom Fighter Kanaklata Barua sacrificed her life while participating in

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Q.716·Miscellaneous·2024·Easy

If the letters of the word "TIRUPATI" are written down at random, then what is the probability that both Ts are consecutive?

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Q.717·Miscellaneous·2024·Easy

Where is the Coriolis Effect the largest ?

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Q.718·Miscellaneous·2024·Easy

An edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount of money is spent on oil by a family in every year during these years, what is the average price of oil in rupees (approximately) per litre?

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Q.719·Miscellaneous·2024·Easy

Let m = 77n. The index n is given a positive integral value at random. What is the probability that the value of m will have 1 in the units place?

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Q.720·Miscellaneous·2024·Easy

In the passing of a Money Bill, the Rajya Sabha has limited powers in that it shall return the Bill, with or without any recommendation, within the stipulated time of

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