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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.7183·Miscellaneous·2018·Easy

What is the equation of the plane passing through the points (–2, 6, –6), (–3, 10, –9) and (–5, 0, –6)?

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Q.7184·Miscellaneous·2018·Easy

Let the coordinates of the points A, B, C be (1, 4), (6, 0), (–1, 4) and (2, –3, 1) respectively. What are the coordinates of the point D which is the foot of the perpendicular from A on BC?

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Q.7185·Miscellaneous·2018·Easy

What is the equation of the straight line passing through the point (2, 3) and making an intercept on the positive y-axis equal to twice its intercept on the positive x-axis?

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Q.7186·Miscellaneous·2018·Easy

What is the equation of the line passing through the point of intersection of the lines x + 2y – 3 = 0 and 2x – y + 5 = 0 and parallel to the line y – x + 10 = 0?

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Q.7187·Miscellaneous·2018·Easy

What is the equation of the straight line cutting off an intercept 2, from the negative direction of x-axis and inclined at 30° with the positive direction of x-axis?

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Q.7188·Miscellaneous·2018·Easy

What is the distance between the points which divide the line segment joining (4, 3) and (6, 7) internally and externally in the ratio 2 : 3?

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Q.7189·Miscellaneous·2018·Easy

Suppose cos A is given. If only one value of cos(A/2) is possible, then A must be

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Q.7190·Miscellaneous·2018·Easy

If sin(x + y) = (a – b) / (sin(x – y) = a – b), then what is tan x / tan y equal to?

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Q.7191·Miscellaneous·2018·Easy

If x, x – y and x + y are the angles of a triangle (not an equilateral triangle) such that tan(x – y), tan x and tan(x + y) are in GP, then what is x equal to?

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Q.7192·Miscellaneous·2018·Easy

In a triangle ABC if a = 2, b = 3 and sin A = 2/3, then what is angle B equal to?

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Q.7193·Miscellaneous·2018·Easy

What is sin 105° + cos 105° equal to?

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Q.7194·Miscellaneous·2018·Easy

What is (sin 5x – sin 3x)/(cos 5x + cos 3x) equal to?

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Q.7195·Miscellaneous·2018·Easy

S1: A mighty popular Revolt broke out in Northern and Central India in 1857. S6: Millions of peasants, artisans and soldiers fought heroically and wrote a glorious chapter. P: Sepoys, or the Indian soldiers of the Company’s army Q: but soon engulfed wide regions and involved the masses R: and nearly swept away the British rule S: It began with a mutiny of the The proper sequence should be:

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Q.7196·Miscellaneous·2018·Easy

What is the period of the function f(x) = sin x?

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Q.7197·Miscellaneous·2018·Easy

In this question each item consists of a sentence with an underlined word/words followed by four words. Select the option that is nearest in meaning to the underlined word/words and mark your response in your Answer Sheet accordingly. Weather conditions have been improving over the past few days.

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Q.7198·Miscellaneous·2018·Easy

In this question each item consists of a sentence with an underlined word/words followed by four words. Select the option that is opposite in meaning to the underlined word/words and mark your response in your Answer Sheet accordingly. There are a few miscellaneous items to discuss in this meeting.

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Q.7199·Miscellaneous·2018·Easy

In this question each item consists of a sentence with an underlined word/words followed by four words. Select the option that is opposite in meaning to the underlined word/words and mark your response in your Answer Sheet accordingly. He is very serious by temperament.

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Q.7200·Miscellaneous·2018·Easy

In this question each item consists of a sentence with an underlined word/words followed by four words. Select the option that is opposite in meaning to the underlined word/words and mark your response in your Answer Sheet accordingly. The party was excellent, and I would like to thank all the people concerned .

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