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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.11629·Miscellaneous·2014·Easy

What is the sum of the major and minor axes of the ellipse whose eccentricity is 4/5 and length of latus rectum is 14.4 unit?

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Q.11630·Miscellaneous·2014·Easy

What is the equation of the line midway between the lines 3x - 4y + 12 = 0 and 3x - 4y = 6?

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Q.11631·Miscellaneous·2014·Easy

What is the equation of straight line passing through the point (4, 3) and making equal intercepts on the coordinate axes?

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Q.11632·Miscellaneous·2014·Easy

What is the equation of the line through (1, 2) so that the segment of the line intercepted between the axes is bisected at this point?

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Q.11633·Miscellaneous·2014·Easy

Consider the following points: 1.(0, 5) 2.(2, -1) 3.(3, -4) Which of the above lie on the line 3x + y = 5 and at a distance √10 from (1, 2)?

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Q.11634·Miscellaneous·2014·Easy

What is cos 20° + cos 100° + cos 140° equal to?

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Q.11635·Miscellaneous·2014·Easy

Consider the following statements: 1.tan⁻¹ 1 + tan⁻¹ (0.5) = π/2 2.sin⁻¹ (1/3) + cos⁻¹ (1/3) = π/2 Which of the above statements is/are correct?

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Q.11636·Miscellaneous·2014·Easy

Consider the following statements: 1.sin|x| + cos|x| is always positive. 2.sin(x²) + cos(x²) is always positive. Which of the above statements is/are correct?

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Q.11637·Miscellaneous·2014·Easy

Consider the following statements: 1.There exists no triangle ABC for which sin A + sin B = sin C. 2.If the angles of a triangle are in the ratio 1 : 2 : 3, then its sides will be in the ratio 1 : √3 : 2. Which of the above statements is/are correct?

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Q.11638·Miscellaneous·2014·Easy

From an aeroplane above a straight road the angles of depression of two positions at a distance 20 m apart on the road are observed to be 30° and 45°. The height of the aeroplane above the ground is:

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Q.11639·Miscellaneous·2014·Easy

In optical instruments, the lenses are used to form image by the phenomenon of

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Q.11640·Miscellaneous·2014·Easy

Consider the following statements: 1.If 3θ is an acute angle such that sin 3θ = cos 2θ, then the measurement of θ in radian equals to π/10. 2.One radian is the angle subtended at the centre of a circle by an arc of the same circle whose length is equal to the diameter of that circle. Which of the above statements is/are correct?

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Q.11641·Miscellaneous·2014·Easy

Consider the following statements: 1. n( sin^ 2 1/2 67° - sin^2 1/2 22°) > 1 for all positive integers n ≥ 2. 2.If x is any positive real number, then nx > 1 for all positive integers n ≥ 2. Which of the above statements is/are correct?

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Q.11642·Miscellaneous·2014·Easy

Consider the following statements: 1.Value of sin θ oscillates between -1 and 1. 2.Value of cos θ oscillates between 0 and 1. Which of the above statements is/are correct?

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Q.11643·Miscellaneous·2014·Easy

What is the value of cos 36°?

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Q.11644·Miscellaneous·2014·Easy

Given: C(n, r) : C(n, r + 1) = 1 : 2 and C(n, r + 1) : C(n, r + 2) = 2 : 3 What is P(n, r) : C(n, r) equal to?

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Q.11645·Miscellaneous·2014·Easy

Given: C(n, r) : C(n, r + 1) = 1 : 2 and C(n, r + 1) : C(n, r + 2) = 2 : 3 What is r equal to?

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Q.11646·Miscellaneous·2014·Easy

Given: C(n, r) : C(n, r + 1) = 1 : 2 and C(n, r + 1) : C(n, r + 2) = 2 : 3 What is n equal to?

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