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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.11719·Miscellaneous·2014·Easy

Let X denote the number of scores which exceed 4 in 18 tosses of a symmetrical die. Consider the following statements: 1.The arithmetic mean of X is 6. 2.The standard deviation of X is 2. Which of the above statements is/are correct?

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Q.11720·Miscellaneous·2014·Easy

How many different words can be formed by taking four letters out of the letters of the word 'AGAIN' if each word has to start with A?

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Q.11721·Miscellaneous·2014·Easy

What is the argument of the complex number (1+i)(2+i)/3−i where i =√-1 ?

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Q.11722·Miscellaneous·2014·Easy

If A is any matrix, then the product AA is defined only when A is a matrix of order m × n where:

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Q.11723·Miscellaneous·2014·Easy

The determinant of an odd order skew symmetric matrix is always:

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Q.11724·Miscellaneous·2014·Easy

If any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant:

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Q.11725·Miscellaneous·2014·Easy

In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects.   The number of students who had taken only Physics is:

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Q.11726·Miscellaneous·2014·Easy

In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Consider the following statements: 1.The number of students who had taken only one subject is equal to the number of students who had taken only two subjects. 2.The number of students who had taken at least two subjects is four times the number of students who had taken all the three subjects. Which of the above statements is/are correct?

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Q.11727·Miscellaneous·2014·Easy

Consider the following statements in respect of the matrix: Matrix A = {0 1 2} {-1 0 -3} {-2 3 0} 1.The matrix A is skew-symmetric. 2.The matrix A is symmetric. 3.The matrix A is invertible. Which of the above statements is/are correct?

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Q.11728·Miscellaneous·2014·Easy

Consider two matrices: Matrix A = 1 2 2 1 Matrix B = 1 2 -4 2 1 -4 Which one of the following is correct?

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Q.11729·Miscellaneous·2014·Easy

One of the roots of the determinant equation: | x+a b c | | a x+b c | | a b x+c | = 0

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Q.11730·Miscellaneous·2014·Easy

Statement I: Minerals are formed by slow cooling of the magma. Statement II: Very small crystals are formed when lava cools quickly on the surface.

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Q.11731·Miscellaneous·2014·Easy

Statement I: The Kullu Valley in Himachal Pradesh receives copious snowfall during winter. Statement II: The Kullu Valley receives moisture-bearing wind of the Western Disturbances during winter.

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Q.11732·Miscellaneous·2014·Easy

Statement I: The hills with dense vegetation cover do not experience heavy soil erosion. Statement II: The vegetation cover helps infiltration of rainwater and binding of soils.

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Q.11733·Miscellaneous·2014·Easy

Statement I: The decrease of air temperature with increasing altitudes in the atmosphere is called the vertical temperature gradient. Statement II: In Troposphere, air temperature decreases with increasing altitude due to radiation from the Earth.

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Q.11734·Miscellaneous·2014·Easy

Which of the following statements about the Progressive Writers’ Association, which created a generation of creative people, is/are correct? 1.It thought critically about the poverty and hunger of the Indian people. 2.It brought out the positive developments of colonialism. 3.Its creative pursuits began with a critical evaluation of Gandhian politics. 4.It planned India’s development model. Select the correct answer using the code given below.

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Q.11735·Miscellaneous·2014·Easy

E. V. Ramaswami Naicker was associated with 1.reforming Brahminism 2.the Self-Respect Movement 3.the Low Caste Movement 4.the Communist Movement Select the correct answer using the code given below.

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Q.11736·Miscellaneous·2014·Easy

Consider the following statements about ‘Param Vir Chakra’: 1.It is the highest peacetime gallantry award. 2.It is the replacement of British Victoria Cross. 3.It can be awarded to civilians. Which of the statements given above is/are correct?

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