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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.5851·Miscellaneous·2019·Easy

If x + a + b + c = 0 , then what is the value of |x + a b c| |a x + b c| |a b x + c| ?

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Q.5852·Miscellaneous·2019·Easy

What are the values of x that satisfy the equation |x 0 2| |3x 0 2| |2x 2 1| + |x² 2 1| = 0 ? |1 1 1| |0 1 1|

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Q.5853·Miscellaneous·2019·Easy

What is the value of the determinant |1! 2! 3!| |2! 3! 4!| |3! 4! 5!| ?

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Q.5854·Miscellaneous·2019·Easy

What is the number of diagonals of an octagon?

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Q.5855·Miscellaneous·2019·Easy

A geometric progression (GP) consists of 200 terms. If the sum of odd terms of the GP is m , and the sum of even terms of the GP is n , then what is its common ratio?

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Q.5856·Miscellaneous·2019·Easy

If the sum of first n terms of a series is (n + 12) , then what is its third term?

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Q.5857·Miscellaneous·2019·Easy

If A, B and C are subsets of a given set, then which one of the following relations is not correct?

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Q.5858·Miscellaneous·2019·Easy

What is the value of 1 - 2 + 3 - 4 + 5 - ..... + 101 ?

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Q.5859·Miscellaneous·2019·Easy

If A and B are two events, then what is the probability of occurrence of either event A or event B?

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Q.5860·Miscellaneous·2019·Easy

What is the probability that an interior point in a circle is closer to the centre than to the circumference?

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Q.5861·Miscellaneous·2019·Easy

If all the natural numbers between 1 and 20 are multiplied by 3, then what is the variance of the resulting series?

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Q.5862·Miscellaneous·2019·Easy

A and B are two events such that Ā and B̄ are mutually exclusive. If P(A) = 0.5 and P(B) = 0.6, then what is the value of P(A|B)?

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Q.5863·Miscellaneous·2019·Easy

In eight throws of a die, 5 or 6 is considered a success. The mean and standard deviation of total number of successes is respectively given by

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Q.5864·Miscellaneous·2019·Easy

Two cards are chosen at random from a deck of 52 playing cards. What is the probability that both of them have the same value?

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Q.5865·Miscellaneous·2019·Easy

There are n socks in a drawer, of which 3 socks are red. If 2 of the socks are chosen randomly and the probability that both selected socks are red is 1/2, then what is the value of n?

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Q.5866·Miscellaneous·2019·Easy

Two symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. What is the probability that both land on the same colour?

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Q.5867·Miscellaneous·2019·Easy

If two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers on the dice is 8?

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Q.5868·Miscellaneous·2019·Easy

The mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?

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