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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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Q.11467·Miscellaneous·2014·Easy

A sample of gas is to be identified by means of its behaviour in the presence of a glowing splint. Which of the following gases will neither itself burn nor cause the splint to burn?

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Q.11468·Miscellaneous·2014·Easy

What is the sum of the coefficients of the middle terms in the given expansion ?

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Q.11469·Miscellaneous·2014·Easy

Consider the expansion (x² + 1/x)¹⁵. Consider the following statements : The term containing x² does not exist in the given expansion. The sum of the coefficients of all the terms in the given expansion is 2¹⁵. Which of the above statements is/are correct ?

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Q.11470·Miscellaneous·2014·Easy

Consider the expansion (x² + 1/x)¹⁵. Consider the following statements : There are 15 terms in the given expansion. The coefficient of x¹² is equal to that of x³. Which of the above statements is/are correct ?

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Q.11471·Miscellaneous·2014·Easy

Consider the function f(x) = (x – 1)/(x + 1). What is ( f(x) + 1 ) / ( f(x) – 1 ) × x equal to ?

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Q.11472·Miscellaneous·2014·Easy

If A and B are square matrices of second order such that |A| = –1, |B| = 3, then what is |3AB| equal to ?

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Q.11473·Miscellaneous·2014·Easy

If f(x) = ax + b and g(x) = cx + d such that f(g(x)) = g(f(x)), then which one of the following is correct ?

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Q.11474·Miscellaneous·2014·Easy

A and B are two sets having 3 elements in common. If n(A) = 5, n(B) = 4, then what is n(A × B) equal to ?

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Q.11475·Miscellaneous·2014·Easy

What is the number of ways that a cricket team of 11 players can be made out of 15 players ?

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Q.11476·Miscellaneous·2014·Easy

What is the number of ways in which one can post 5 letters in 7 letter boxes ?

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Q.11477·Miscellaneous·2014·Easy

If |a b| = 0, then which one of the following is correct ? |b 0|

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Q.11478·Miscellaneous·2014·Easy

If A = |4 x+2| |2x–3 x+1| is symmetric, then what is x equal to ?

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Q.11479·Miscellaneous·2014·Easy

From the matrix equation AB = AC, where A, B, C are the square matrices of same order, we can conclude B = C provided

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Q.11480·Miscellaneous·2014·Easy

Consider the following statements : 1.Determinant is a square matrix. 2.Determinant is a number associated with a square matrix. Which of the above statements is/are correct ?

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Q.11481·Miscellaneous·2014·Easy

If the matrix A is such that |1 3| |1 1| |0 1| A = |0 –1| then what is A equal to ?

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Q.11482·Miscellaneous·2014·Easy

Let A and B be two matrices such that AB = A and BA = B. Which of the following statements are correct ? 1.A² = A 2.B² = B 3.(AB)² = AB Select the correct answer using the code given below :

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Q.11483·Miscellaneous·2014·Easy

The relation S is defined on the set of integers Z as xSy if integer x divides integer y. Then

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Q.11484·Miscellaneous·2014·Easy

Match List-I with List-II and select the correct answer using the code given below the Lists : List-I (Geographical feature) List-II (Type of geographic process) A. Cirque 1. Erosional feature of wind B. Yardang 2. Depositional feature of glacier C. Barkhan 3. Depositional feature of wind D. Drumlin 4. Erosional feature of glacier Code :

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