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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.14149·Miscellaneous·2012·Easy

If f(xy) = f(x)f(y), then f(t) may be of the form :

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Q.14150·Miscellaneous·2012·Easy

Which one of the following is positive in the third quadrant ?

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Q.14151·Miscellaneous·2012·Easy

What is the distance between the lines 3x + 4y = 9 and 6x + 8y = 18 ?

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Q.14152·Miscellaneous·2012·Easy

The number 292 in decimal system is expressed in binary system by

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Q.14153·Miscellaneous·2012·Easy

Let sin(A + B) = 1 and sin(A – B) = 1/2, where, A, B ∈ [0, π/2]. What is tan(A + 2B) . tan(2A + B) equal to ?

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Q.14154·Miscellaneous·2012·Easy

Let sin(A + B) = 1 and sin(A – B) = 1/2, where, A, B ∈ [0, π/2]. What is the value of A ?

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Q.14155·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.14156·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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Q.14157·Miscellaneous·2012·Easy

If the latus rectum of an ellipse is equal to half of the minor axis, then what is its eccentricity ?

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Q.14158·Miscellaneous·2012·Easy

What is the probability that a leap year selected at random contains 53 Mondays ?

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Q.14159·Miscellaneous·2012·Easy

What is the equation of line passing through (0, 1) and making an angle with the y-axis equal to the inclination of the line x – y = 4 with x-axis ?

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Q.14160·Miscellaneous·2012·Easy

Two poles are 10 m and 20 m high. The line joining their tips makes an angle of 15° with the horizontal. What is the distance between these poles ?

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Q.14161·Miscellaneous·2012·Easy

In a triangle ABC if the angles A, B, C are in AP, then which one of the following is correct ?

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Q.14162·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.14163·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.14164·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.14165·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.14166·Miscellaneous·2012·Easy

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

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