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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.8047·Miscellaneous·2017·Easy

ABCD is a quadrilateral whose diagonals are AC and BD. Which one of the following is correct?

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Q.8048·Miscellaneous·2017·Easy

If a x b = c and b x c = a, then which one of the following is correct?

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Q.8049·Miscellaneous·2017·Easy

Let f(x) = px + q and g(x) = mx + n. Then f(g(x)) = g(f(x)) is equivalent to

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Q.8050·Miscellaneous·2017·Easy

If x dy = y dx + y dy; y(1) = 1 and y(x) > 0, then what is y(-3) equal to?

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Q.8051·Miscellaneous·2017·Easy

Let f(x + y) = f(x) f(y) for all x and y. Then what is f(5) equal to (where f'(x) is the derivative of f(x))?

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Q.8052·Miscellaneous·2017·Easy

What is the solution of the differential equation ln (dy/dx) - a = 0?

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Q.8053·Miscellaneous·2017·Easy

What is the area of the region bounded by the curve y = |x + 1| and y = -|x - 1|?

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Q.8054·Miscellaneous·2017·Easy

If f(x) = e^x and g(x) = ln x, then what is (f o g)(x) equal to?

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Q.8055·Miscellaneous·2017·Easy

A committee of two persons is constituted from two men and two women. What is the probability that the committee will have only women?

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Q.8056·Miscellaneous·2017·Easy

A question is given to three students A, B and C whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the question will be solved?

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Q.8057·Miscellaneous·2017·Easy

The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys in the class is 70 kg and that of girls is 55 kg. What is the number of boys in the class?

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Q.8058·Miscellaneous·2017·Easy

A point is chosen at random inside a circle. What is the probability that the distance is closer to the centre of the circle than to its boundary?

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Q.8059·Miscellaneous·2017·Easy

If two regression lines between height (x) and weight (y) are 4y - 15x + 410 = 0 and 30x - 2y - 825 = 0, then what will be the correlation coefficient between height and weight?

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Q.8060·Miscellaneous·2017·Easy

In an examination, 40% of candidates got second class. When the data are represented by a pie chart, what is the angle corresponding to second class?

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Q.8061·Miscellaneous·2017·Easy

If f(x) = x / (x - 1), then what is f(a) / f(a + 1) equal to?

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Q.8062·Miscellaneous·2017·Easy

A card is drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that it is an ace?

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Q.8063·Miscellaneous·2017·Easy

Consider the following statements : Statement 1 : Range is not a good measure of dispersion. Statement 2 : Range is highly affected by the existence of extreme values. Which one of the following is correct in respect of the above statements?

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Q.8064·Miscellaneous·2017·Easy

Which one of the following was NOT a feature of railways in colonial India?

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