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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.11557·Miscellaneous·2014·Easy

Which one of the following gases is placed second in respect of abundance in the Earth’s atmosphere ?

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Q.11558·Miscellaneous·2014·Easy

Number X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y).   What is P(Z is the product of two prime numbers) equal to?

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Q.11559·Miscellaneous·2014·Easy

The number of telephone calls received in 245 successive one-minute intervals at an exchange is given below in the following frequency distribution: What is the mean of the distribution?

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Q.11560·Miscellaneous·2014·Easy

The number of telephone calls received in 245 successive one-minute intervals at an exchange is given below in the following frequency distribution: What is the median of the distribution?

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Q.11561·Miscellaneous·2014·Easy

The number of telephone calls received in 245 successive one-minute intervals at an exchange is given below in the following frequency distribution: What is the mode of the distribution?

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Q.11562·Miscellaneous·2014·Easy

The mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively   What is the combined mean of all 250 items?

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Q.11563·Miscellaneous·2014·Easy

The mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively.   What is the variance of all the 250 items?

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Q.11564·Miscellaneous·2014·Easy

The mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively.   What is the combined standard deviation of all 250 items?

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Q.11565·Miscellaneous·2014·Easy

Let a vector r make angles 60°, 30° with x and y axes respectively.   What angle does r make with z-axis?

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Q.11566·Miscellaneous·2014·Easy

The vertices of a triangle ABC are A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1).   What is the magnitude of the line joining mid points of the sides AC and BC?

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Q.11567·Miscellaneous·2014·Easy

The vertices of a triangle ABC are A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1).   NDA Mathematics 2014 (I)

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Q.11568·Miscellaneous·2014·Easy

The vertices of a triangle ABC are A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1).   What is the cosine of angle ABC?

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Q.11569·Miscellaneous·2014·Easy

A straight line passes through (1, -2, 3) and is perpendicular to the plane 2x + 3y - z = 7.   What is the image of the point (1, -2, 3) in the plane?

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Q.11570·Miscellaneous·2014·Easy

A straight line passes through (1, -2, 3) and is perpendicular to the plane 2x + 3y - z = 7.   Where does the line meet the plane?

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Q.11571·Miscellaneous·2014·Easy

A straight line passes through (1, -2, 3) and is perpendicular to the plane 2x + 3y - z = 7.   What are the direction ratios of normal to plane?

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Q.11572·Miscellaneous·2014·Easy

Which one among the following is not true about Bal Gangadhar Tilak?

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Q.11573·Miscellaneous·2014·Easy

Under which of the following Acts is the National Population Register being created?

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Q.11574·Miscellaneous·2014·Easy

The Scheduled Castes and Scheduled Tribes (Prevention of Atrocities) Act, 1989 may be seen as giving effect to which of the following Fundamental Rights? 1.Equality before the Law 2.Right against Discrimination 3.Abolition of Untouchability 4.Right to Freedom of Religion Select the correct answer using the code given below.

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