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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.14113·Miscellaneous·2012·Easy

Consider the following in respect of the function f(x) = |x - 3|: 1.f(x) is continuous at x = 3 2.f(x) is differentiable at x = 0 Which of the above statements is/are correct?

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Q.14114·Miscellaneous·2012·Easy

If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25?

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Q.14115·Miscellaneous·2012·Easy

Let O be the origin and P, Q, R be the points such that PO + OQ = QO + OR. Then which one of the following is correct?

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Q.14116·Miscellaneous·2012·Easy

If the vectors i - xj - yk and i + xj + yk are orthogonal to each other, then what is the locus of the point (x, y)?

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Q.14117·Miscellaneous·2012·Easy

If two rows of a determinant are identical, then what is the value of the determinant?

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Q.14118·Miscellaneous·2012·Easy

If A = {0, 1} and B = {1, 0}, then what is A × B equal to?

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Q.14119·Miscellaneous·2012·Easy

What is the arithmetic mean of first 16 natural numbers with weights being the number itself ?

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Q.14120·Miscellaneous·2012·Easy

If A = ( 1 2 ) and B = ( 1 0 ) then ( 2 3 ) ( 1 0 ) what is determinant of AB ?

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Q.14121·Miscellaneous·2012·Easy

What is the nth term of the sequence 1, 5, 9, 13, 17, … ?

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Q.14122·Miscellaneous·2012·Easy

If p, q, r are in AP as well as GP, then which one of the following is correct ?

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Q.14123·Miscellaneous·2012·Easy

The solution of the simultaneous linear equations 2x + y = 6 and 3y = 8 + 4x will also be satisfied by which one of the following linear equations ?

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Q.14124·Miscellaneous·2012·Easy

What is the perimeter of the triangle with vertices A(-4, 2), B(0, -1) and C(3, 3) ?

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Q.14125·Miscellaneous·2012·Easy

If the mid point between the points (a + b, a – b) and (-a, b) lies on the line ax + by = k, what is k equal to ?

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Q.14126·Miscellaneous·2012·Easy

The acute angle which the perpendicular from origin on the line 7x – 3y + 4 makes with the x-axis is

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Q.14127·Miscellaneous·2012·Easy

Out of 500 first year students, 260 passed in the first semester and 210 passed in the second semester. If 170 did not pass in either semester, how many passed in both semesters ?

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Q.14128·Miscellaneous·2012·Easy

If a matrix A has inverses B and C, then which one of the following is correct ?

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Q.14129·Miscellaneous·2012·Easy

The equation formed by multiplying each root of ax² + bx + c = 0 by 2 is x² + 36x + 24 = 0. What is b : c equal to ?

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Q.14130·Miscellaneous·2012·Easy

The equation formed by multiplying each root of ax² + bx + c = 0 by 2 is x² + 36x + 24 = 0. Which one of the following is correct ?

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