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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.7003·Miscellaneous·2018·Easy

If u, v and w (all positive) are the pth, qth and rth terms of a GP, then the determinant of the matrix | ln u p 1 | | ln v q 1 | | ln w r 1 | is

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Q.7004·Miscellaneous·2018·Easy

Which one of the following is correct in respect of the cube roots of unity ?

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Q.7005·Miscellaneous·2018·Easy

The system of equations 2x + y – 3z = 5, 3x – 2y + 2z = 5, 5x – 3y – z = 16 is

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Q.7006·Miscellaneous·2018·Easy

What is the value of log9 27 + log9 32 ?

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Q.7007·Miscellaneous·2018·Easy

There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to include 3 bowlers ?

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Q.7008·Miscellaneous·2018·Easy

In this question consists of a sentence with an underlined word followed by four words or groups of words. Select the word or group of words that is nearest in meaning to the underlined word and mark your response in your Answer Sheet accordingly. I had some deepest convictions reflected in my work.

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Q.7009·Miscellaneous·2018·Easy

In this question consists of a sentence with an underlined word followed by four words or groups of words. Select the word or group of words that is nearest in meaning to the underlined word and mark your response in your Answer Sheet accordingly. This boy is very timid .

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Q.7010·Miscellaneous·2018·Easy

In this question consists of a sentence with an underlined word followed by four words or groups of words. Select the word or group of words that is nearest in meaning to the underlined word and mark your response in your Answer Sheet accordingly. My friend is as stubborn as a mule.

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Q.7011·Miscellaneous·2018·Easy

In this question consists of a sentence with an underlined word followed by four words or groups of words. Select the word or group of words that is nearest in meaning to the underlined word and mark your response in your Answer Sheet accordingly. His behaviour was deliberately provocative .

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Q.7012·Miscellaneous·2018·Easy

In this question consists of a sentence with an underlined word followed by four words or groups of words. Select the word or group of words that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. Too many cooks spoil the broth.

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Q.7013·Miscellaneous·2018·Easy

What is the adjoint of the matrix [ cos(–θ) –sin(–θ) ] [ –sin(–θ) cos(–θ) ]

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Q.7014·Miscellaneous·2018·Easy

Which one of the following factors does the expansion of the determinant | x² 5y³ 9 | | x³ z² y | | 10y⁶ 27 1 | contain ?

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Q.7015·Miscellaneous·2018·Easy

For a square matrix A, which of the following properties hold ? 1. (A⁻¹)⁻¹ = A 2. det(A⁻¹) = 1/det A 3. (λA)⁻¹ = λA⁻¹ where λ is a scalar Select the correct answer using the code given below :

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Q.7016·Miscellaneous·2018·Easy

A survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games. How many students like to play exactly only one game ?

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Q.7017·Miscellaneous·2018·Easy

A survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games. How many students like to play all the three games ?

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Q.7018·Miscellaneous·2018·Easy

The sum of the series 3 – 1 + 1/3 – 1/9 + 1/27 – … is equal to

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Q.7019·Miscellaneous·2018·Easy

Let x be the number of integers lying between 2999 and 8001 which have at least two digits equal. Then x is equal to

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Q.7020·Miscellaneous·2018·Easy

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

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