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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.9181·Miscellaneous·2016·Easy

Look at the underlined part of this question. Below each sentence are given three possible substitutions for the underlined part. If one of them (a), (b) or (c) is better than the underlined part, indicate your response on the Answer Sheet against the corresponding letter (a), (b) or (c). If none of the substitutions improves the sentence, indicate (d) as your response on the Answer Sheet. Thus a “No improvement” response will be signified by the letter (d). You should to read the newspapers regularly if you want to be well-informed.

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Q.9182·Miscellaneous·2016·Easy

Let a, x, y, z, b be in AP, where x + y + z = 15. Let a, p, q, r, b be in HP, where p⁻¹ + q⁻¹ + r⁻¹ = 5/3. What is the value of pqr ?

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Q.9183·Miscellaneous·2016·Easy

Let ax³ + bx² + cx + d = 0 for x = (x+1, 2x, 3x, …). Then What is the value of c ?

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Q.9184·Miscellaneous·2016·Easy

The sixth term of an AP is 2 and its common difference is greater than 1. What is the first term of the AP so that the product of the first, fourth and fifth terms is greatest ?

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Q.9185·Miscellaneous·2016·Easy

Let a, x, y, z, b be in AP, where x + y + z = 15. Let a, p, q, r, b be in HP, where p⁻¹ + q⁻¹ + r⁻¹ = 5/3. What is the value of ab ?

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Q.9186·Miscellaneous·2016·Easy

A five-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3 and 4 without repetition of digits. What is the number of ways this can be done ?

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Q.9187·Miscellaneous·2016·Easy

Let a, x, y, z, b be in AP, where x + y + z = 15. Let a, p, q, r, b be in HP, where p⁻¹ + q⁻¹ + r⁻¹ = 5/3. What is the value of xyz ?

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Q.9188·Miscellaneous·2016·Easy

How many geometric progressions is/are possible containing 27, 8 and 12 as three of its/their terms ?

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Q.9189·Miscellaneous·2016·Easy

Out of 15 points in a plane, n points are in the same straight line. 445 triangles can be formed by joining these points. What is the value of n ?

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Q.9190·Miscellaneous·2016·Easy

What is [x y z] [a h g; h b f; g f c] equal to ?

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Q.9191·Miscellaneous·2016·Easy

If Re((z-1)/(z+1)) = 0, where z = x + iy is a complex number, then which one of the following is correct ?

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Q.9192·Miscellaneous·2016·Easy

In this question has a blank space and four words given after the sentence. Select whichever word you consider most appropriate for the blank space and indicate your response on the Answer Sheet. The small boy who (P) broke his leg (Q) fell down (R) and (S) climbed the wall The proper sequence should be

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Q.9193·Miscellaneous·2016·Easy

What is the mean deviation from the mean of the numbers 10, 9, 21, 16, 24?

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Q.9194·Miscellaneous·2016·Easy

Two independent events A and B have P(A) = 3/5 and P(B) = 5/8. What is the probability that exactly one of the two events A or B occurs?

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Q.9195·Miscellaneous·2016·Easy

A coin is tossed three times. What is the probability of getting head and tail alternately?

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Q.9196·Miscellaneous·2016·Easy

A card is drawn from a well-shuffled deck of 52 cards. What is the probability that it is queen of spade?

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Q.9197·Miscellaneous·2016·Easy

If two dice are thrown, then what is the probability that the sum on the two faces is greater than or equal to 4?

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Q.9198·Miscellaneous·2016·Easy

A certain type of missile hits the target with probability p = 0.3. What is the least number of missiles should be fired so that there is at least an 80% probability that the target is hit?

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