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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.2935·Miscellaneous·2022·Easy

What is the arithmetic mean of 50 terms of an AP with first term 4 and common difference 4 ?

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Q.2936·Miscellaneous·2022·Easy

What is the coefficient of mean deviation of 21, 34, 23, 39, 26, 37, 40, 20, 33, 27 (taken from mean) ?

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Q.2937·Miscellaneous·2022·Easy

If the algebraic sum of the deviations of the same set of values measured from y is 180, then what is the value of y?

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Q.2938·Miscellaneous·2022·Easy

The marks obtained by 51 students in a class are in AP with its first term 4 and common difference 3. What is the mean of the marks?

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Q.2939·Miscellaneous·2022·Easy

The marks obtained by 51 students in a class are in AP with its first term 4 and common difference 3. What is the median of the marks?

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Q.2940·Miscellaneous·2022·Easy

The marks obtained by 51 students in a class are in AP with its first term 4 and common difference 3. What is the sum of the deviations measured from the median?

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Q.2941·Miscellaneous·2022·Easy

There are 90 applicants for a job. Some of them have less than three years experience. Let G be the event that the first applicant interviewed is a graduate and T be the event that first applicant interviewed has at least 3 years experience. What is P(G ∩ T) equal to ?

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Q.2942·Miscellaneous·2022·Easy

There are 90 applicants for a job. Some of them have less than three years experience. Let G be the event that the first applicant interviewed is a graduate and T be the event that first applicant interviewed has at least 3 years experience. What is P(G | T) equal to ?

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Q.2943·Miscellaneous·2022·Easy

The total frequency is 120. The mean is 50. If the frequency of each class is doubled, then what would be the mean ?

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Q.2944·Miscellaneous·2022·Easy

The total frequency is 120. The mean is 50. What is the value of q ?

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Q.2945·Miscellaneous·2022·Easy

The total frequency is 120. The mean is 50. What is the value of p ?

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Q.2946·Miscellaneous·2022·Easy

There are 90 applicants for a job. Some of them have less than three years experience. Let G be the event that the first applicant interviewed is a graduate and T be the event that first applicant interviewed has at least 3 years experience. What is P(T | G) equal to ?

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Q.2947·Miscellaneous·2022·Easy

Consider the following grouped frequency distribution: What is the median of the distribution?

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Q.2948·Miscellaneous·2022·Easy

Consider the following grouped frequency distribution: What is mean deviation about the median?

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Q.2949·Miscellaneous·2022·Easy

Consider the following grouped frequency distribution: What is the mean deviation about the mean?

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Q.2950·Miscellaneous·2022·Easy

If the point (x, y) is equidistant from the points (2a, 0) and (0, 3a) where a > 0, then which one of the following is correct?

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Q.2951·Miscellaneous·2022·Easy

The plane 6x + ky + 3z − 12 = 0 (where k ≠ 0) meets the coordinate axes at A, B and C respectively. The equation of the sphere passing through the origin and A, B, C is: x² + y² + z² + 2x − 3y − 4z = 0 If p is the perpendicular distance from the centre of the sphere to the plane, then which one of the following is correct?

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Q.2952·Miscellaneous·2022·Easy

The plane 6x + ky + 3z − 12 = 0 (where k ≠ 0) meets the coordinate axes at A, B and C respectively. The equation of the sphere passing through the origin and A, B, C is: x² + y² + z² + 2x − 3y − 4z = 0 What is the equation of the line through the origin and the centre of the sphere?

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