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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.14509·Miscellaneous·2011·Easy

Which term of the series 1/4, –1/2, 1, ... is –128 ?

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Q.14510·Miscellaneous·2011·Easy

In the binary system of numbers let a = 00111 and b = 01110, then in decimal system what is b/a equal to ?

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Q.14511·Miscellaneous·2011·Easy

If 1/(b – a) + 1/(b – c) = 1/a + 1/c then a, b, c are in

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Q.14512·Miscellaneous·2011·Easy

What is the total number of combinations of n different things taken 1, 2, 3, ..., n at a time ?

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Q.14513·Miscellaneous·2011·Easy

If the solution of the differential equation dy/dx = (ax + 3)/(2y + f) represents a circle, then what is the value of a ?

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Q.14514·Miscellaneous·2011·Easy

The points with position vectors 10i + 3j, 12i – 5j, ai + 11j are collinear, if the value of a is

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Q.14515·Miscellaneous·2011·Easy

What is the sine of angle between the vectors i + 2j + 3k and –i + 2j + 3k ?

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Q.14516·Miscellaneous·2011·Easy

5 books are to be chosen from a lot of 10 books. If m is the number of ways of choice when one specified book is always included and n is the number of ways of choice when a specified book is always excluded, then which one of the following is correct ?

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Q.14517·Miscellaneous·2011·Easy

Let M be the set of men and R is a relation 'is son of' defined on M. Then R is

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Q.14518·Miscellaneous·2011·Easy

What is the locus of the point which is at a distance 8 units to the left of y-axis ?

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Q.14519·Miscellaneous·2011·Easy

The number 10101111 in binary system is represented in decimal system by which one of the following numbers ?

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Q.14520·Miscellaneous·2011·Easy

There are 4 letters and 4 directed envelopes. These 4 letters are randomly inserted into the 4 envelopes. What is the probability that the letters are inserted into the corresponding envelopes ?

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Q.14521·Miscellaneous·2011·Easy

What is the degree of the following differential equation?

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Q.14522·Miscellaneous·2011·Easy

What does the differential equation (y(dy/dx) + x = a), (where a is a constant) represent?

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Q.14523·Miscellaneous·2011·Easy

What is the value of n, if P(15, n-1) : P(16, n-2) = 3 : 4 ?

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Q.14524·Miscellaneous·2011·Easy

What is the value of the determinant |x+1 x+2 x+4|; |x+3 x+5 x+8|; |x+7 x+10 x+14| ?

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Q.14525·Miscellaneous·2011·Easy

If 5 and 7 are the roots of the equation |x 4 5|; |7 x 7|; |5 8 x| = 0, then what is the third root ?

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Q.14526·Miscellaneous·2011·Easy

In a GP of positive terms, any term is equal to one-third of the sum of next two terms. What is the common ratio of the GP ?

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