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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

Consider the following statements : 1.Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other. 2.The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct?

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Q.8048·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.8049·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.8050·Miscellaneous·2017·Easy

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

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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

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.8053·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.8054·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.8055·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.8056·Miscellaneous·2017·Easy

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

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Q.8057·Miscellaneous·2017·Easy

Data can be represented in which of the following forms? 1.Textual form 2.Tabular form 3.Graphical form Select the correct answer using the code given below.

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Q.8058·Miscellaneous·2017·Easy

For given statistical data, the graphs for less than ogive and more than ogive are drawn. If the point at which the two curves intersect is P, then abscissa of point P gives the value of which one of the following measures of central tendency?

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Q.8059·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.8060·Miscellaneous·2017·Easy

If the centroid of a triangle formed by (7, x), (y, -6) and (9, 10) is (6, 3), then the values of x and y are respectively

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Q.8061·Miscellaneous·2017·Easy

What is the equation of the circle which passes through the points (3, -2) and (-2, 0) and having its centre on the line 2x - y - 3 = 0?

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Q.8062·Miscellaneous·2017·Easy

What is the ratio in which the point C(2, 20/7) divides the line joining the points A(-2, -2) and B(2, -4)?

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Q.8063·Miscellaneous·2017·Easy

Which one of the following statements is NOT correct ?

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Q.8064·Miscellaneous·2017·Easy

The amount of heat required to change a liquid to gaseous state without any change in temperature is known as

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