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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.11359·Miscellaneous·2014·Easy

Consider the circles x² + y² + 2ax + c = 0 and x² + y² + 2by + c = 0. What is the distance between the centres of the two circles?

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Q.11360·Miscellaneous·2014·Easy

The Stamp Act Congress consisting of delegates from nine of the thirteen colonies met in 1765 at

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Q.11361·Miscellaneous·2014·Easy

A fair coin is tossed four times. What is the probability that at most three tails occur ?

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Q.11362·Miscellaneous·2014·Easy

Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?

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Q.11363·Miscellaneous·2014·Easy

The variance of 20 observations is 5. If each observation is multiplied by 2, then what is the new variance of the resulting observations ?

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Q.11364·Miscellaneous·2014·Easy

What is the mean deviation about the mean for the data 4, 7, 8, 9, 10, 12, 13, 17 ?

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Q.11365·Miscellaneous·2014·Easy

There are 4 white and 3 black balls in a box. In another box, there are 3 white and 4 black balls. An unbiased die is rolled. If it shows a number less than or equal to 3, then a ball is drawn from the second box, otherwise from the first box. If the ball drawn is black, then the probability that the ball was drawn from the first box is

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Q.11366·Miscellaneous·2014·Easy

The probability that in a random arrangement of the letters of the word ‘UNIVERSITY’, the two I’s do not come together is

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Q.11367·Miscellaneous·2014·Easy

For any two events A and B, which one of the following holds ?

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Q.11368·Miscellaneous·2014·Easy

The regression lines will be perpendicular to each other if the coefficient of correlation r is equal to

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Q.11369·Miscellaneous·2014·Easy

Who among the following was not a member of the ‘Big Four’ in the Congress of Vienna (1815)?

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Q.11370·Miscellaneous·2014·Easy

Consider the following statements in respect of histogram : 1.The histogram is a suitable representation of a frequency distribution of a continuous variable. 2.The area included under the whole histogram is the total frequency. Which of the above statements is/are correct ?

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Q.11371·Miscellaneous·2014·Easy

Which one of the following is the unit vector perpendicular to both a = -i + j + k and b = i – j + k ?

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Q.11372·Miscellaneous·2014·Easy

Let f(x) = ax² + bx + c such that f(1) = f(-1) and a, b, c are in Arithmetic Progression. f(a), f(b), f(c) are in

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Q.11373·Miscellaneous·2014·Easy

a + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is the angle between a and b ?

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Q.11374·Miscellaneous·2014·Easy

a + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is cosine of the angle between b and c ?

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Q.11375·Miscellaneous·2014·Easy

a + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is |a + b| equal to ?

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Q.11376·Miscellaneous·2014·Easy

A cylinder is inscribed in a sphere of radius r. What is the height of the cylinder of maximum volume ?

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