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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.14437·Miscellaneous·2011·Easy

Which one among the following is not a source of renewable energy?

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Q.14438·Miscellaneous·2011·Easy

The line mx + ny = 1 passes through the points (1, 2) and (2, 1). What is the value of m?

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Q.14439·Miscellaneous·2011·Easy

Consider the following statements in respect of the vectors u₁ = (1, 2, 3), u₂ = (2, 3, 1), u₃ = (1, 3, 2) and u₄ = (4, 6, 2) 1. u₁ is parallel to u₄ 2. u₂ is parallel to u₄ 3. u₂ is parallel to u₃ Which of the statements given above is/are correct?

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Q.14440·Miscellaneous·2011·Easy

Which one of the following is the unit vector perpendicular to the vectors 4i + 2j and –3i + 2j ?

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Q.14441·Miscellaneous·2011·Easy

If A and B are two mutually exclusive events, then what is P(AB) equal to?

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Q.14442·Miscellaneous·2011·Easy

What is the cumulative frequency curve of statistical data commonly called?

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Q.14443·Miscellaneous·2011·Easy

What is the geometric mean of the data 2, 4, 8, 16, 32?

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Q.14444·Miscellaneous·2011·Easy

In an examination, there are 3 multiple-choice questions and each question has 4 choices. If a student randomly selects an answer for all the three questions, what is the probability that the student will not answer all the three questions correctly?

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Q.14445·Miscellaneous·2011·Easy

What is the equation of the line joining the origin with the point of intersection of the lines 4x + 3y = 12, and 3x + 4y = 12?

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Q.14446·Miscellaneous·2011·Easy

If then what is I n + I n-2 equal to?

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Q.14447·Miscellaneous·2011·Easy

The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11. How many students learn at least one language?

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Q.14448·Miscellaneous·2011·Easy

The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11. How many students learn English and French?

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Q.14449·Miscellaneous·2011·Easy

The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11. What is the total strength of the class?

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Q.14450·Miscellaneous·2011·Easy

The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11. How many students learn at least two languages?

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Q.14451·Miscellaneous·2011·Easy

The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11. How many students learn precisely two languages?

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Q.14452·Miscellaneous·2011·Easy

What is the differential equation of all parabolas whose axes are parallel to y-axis? where c is a constant.

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Q.14453·Miscellaneous·2011·Easy

What is the value of k for which the following function f(x) is continuous for all x ?

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Q.14454·Miscellaneous·2011·Easy

Consider the following statements : 1. The inverse of a square matrix, if it exists, is unique. 2. If A and B are singular matrices of order n, then AB is also a singular matrix of order n. Which of the statements given above is/are correct?

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