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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.5779·Miscellaneous·2019·Easy

The class marks in a frequency table are given to be 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. The class limits of the first five classes are

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Q.5780·Miscellaneous·2019·Easy

Consider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function g(x) ?

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Q.5781·Miscellaneous·2019·Easy

For the variables x and y, the two regression lines are 6x + y = 30 and 3x + 2y = 25. What are the values of x̄, ȳ and r respectively?

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Q.5782·Miscellaneous·2019·Easy

A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the probability of getting at most two tails?

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Q.5783·Miscellaneous·2019·Easy

What is tan25°tan15° + tan15°tan50° + tan25°tan50° equal to?

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Q.5784·Miscellaneous·2019·Easy

Which one of the following is the second degree polynomial function f(x) where f(0) = 5, f(–1) = 10 and f(1) = 6 ?

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Q.5785·Miscellaneous·2019·Easy

A curve y = me^mx where m > 0 intersects y-axis at a point P. What is the slope of the curve at the point of intersection P ?

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Q.5786·Miscellaneous·2019·Easy

A curve y = me^mx where m > 0 intersects y-axis at a point P. How much angle does the tangent at P make with y-axis ?

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Q.5787·Miscellaneous·2019·Easy

If angle C of a triangle ABC is a right angle, then what is tanA + tanB equal to?

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Q.5788·Miscellaneous·2019·Easy

What is cos80° + cos40° – cos20° equal to?

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Q.5789·Miscellaneous·2019·Easy

A curve y = me^mx where m > 0 intersects y-axis at a point P. What is the equation of tangent to the curve at P ?

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Q.5790·Miscellaneous·2019·Easy

Let f(x) = x², g(x) = tan x and h(x) = ln x. What is equal to ?

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Q.5791·Miscellaneous·2019·Easy

Which one of the following is the differential equation that represents the family of curves y = 1 / (2x² - c) where c is an arbitrary constant ?

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Q.5792·Miscellaneous·2019·Easy

Consider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function g(x) ?

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Q.5793·Miscellaneous·2019·Easy

Consider the equation xʸ = e^(x - y) What is dy/dx at x = 1 equal to ?

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Q.5794·Miscellaneous·2019·Easy

Consider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function h(x) ?

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Q.5795·Miscellaneous·2019·Easy

Consider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function f(x) ?

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Q.5796·Miscellaneous·2019·Easy

Consider the function f(x) = 3x⁴ - 20x³ - 12x² + 288x + 1 In which one of the following intervals is the function increasing ?

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