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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.6931·Miscellaneous·2018·Easy

In this question consists of a sentence the parts of which have been jumbled. These parts have been labelled P, Q, R and S. Given below each sentence are four sequences namely (a), (b), (c) and (d). You are required to rearrange the jumbled parts of the sentence and mark your response on the Answer Sheet accordingly. Newton discovered that P. due to the gravitational pull Q. of the earth R. the apple falls S. on the ground The correct sequence should be

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Q.6932·Miscellaneous·2018·Easy

In this question consists of a sentence the parts of which have been jumbled. These parts have been labelled P, Q, R and S. Given below each sentence are four sequences namely (a), (b), (c) and (d). You are required to rearrange the jumbled parts of the sentence and mark your response on the Answer Sheet accordingly. The knocking P. were still in the house Q. for some time R. although the echoes of it S. ceased The correct sequence should be

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Q.6933·Miscellaneous·2018·Easy

In this question consists of a sentence the parts of which have been jumbled. These parts have been labelled P, Q, R and S. Given below each sentence are four sequences namely (a), (b), (c) and (d). You are required to rearrange the jumbled parts of the sentence and mark your response on the Answer Sheet accordingly. The history of mankind is P. and steady progress Q. continuous change R. the history of S. from barbarism to refinement The correct sequence should be

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Q.6934·Miscellaneous·2018·Easy

What is the determinant of the matrix | x x+y z | | z x x+z | | y z+x y |

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Q.6935·Miscellaneous·2018·Easy

If A, B and C are the angles of a triangle and | 1 1 1 | | 1+sinA 1+sinB 1+sinC | | sinA+sin^2A sinB+sin^2B sinC+sin^2C | = 0, then which one of the following is correct?

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Q.6936·Miscellaneous·2018·Easy

Consider the following in respect of matrices A and B of same order: 1. A^2 – B^2 = (A+B)(A–B) 2. (A–I)(I+A) = O ⇔ A^2 = I where I is the identity matrix and O is the null matrix. Which of the above is/are correct?

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Q.6937·Miscellaneous·2018·Easy

If A+B+C = 180°, then what is sin2A – sin2B – sin2C equal to?

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Q.6938·Miscellaneous·2018·Easy

A balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the balloon is 48°. If the height of the balloon above the bridge is 122 m, then what is the length of the bridge?

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Q.6939·Miscellaneous·2018·Easy

A is an angle in the fourth quadrant. It satisfies the trigonometric equation 3(3 – tan^2A – cotA)^2 = 1. Which one of the following is a value of A?

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Q.6940·Miscellaneous·2018·Easy

If the second term of a GP is 2 and the sum of its infinite terms is 8, then the GP is

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Q.6941·Miscellaneous·2018·Easy

If a, b, c are in AP or GP or HP, then (a–b)/(b–c) is equal to

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Q.6942·Miscellaneous·2018·Easy

What is the sum of all three-digit numbers that can be formed using all the digits 3, 4 and 5, when repetition of digits is not allowed?

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Q.6943·Miscellaneous·2018·Easy

The ratio of roots of the equations ax^2 + bx + c = 0 and px^2 + qx + r = 0 are equal. If D1 and D2 are respective discriminants, then what is D1/D2 equal to?

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Q.6944·Miscellaneous·2018·Easy

The equation of a circle whose end points of a diameter are (x1, y1) and (x2, y2) is

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Q.6945·Miscellaneous·2018·Easy

The second degree equation x^2 + 4y^2 – 2x – 4y + 2 = 0 represents

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Q.6946·Miscellaneous·2018·Easy

Consider the following statements: 1. The distance between the lines y = mx + c1 and y = mx + c2 is |c1–c2|/√(1+m^2). 2. The distance between the lines ax + by + c1 = 0 and ax + by + c2 = 0 is |c1–c2|/√(a^2+b^2). 3. The distance between the lines x = c1 and x = c2 is |c1–c2|. Which of the above statements are correct?

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Q.6947·Miscellaneous·2018·Easy

What is the equation of straight line passing through the point of intersection of the lines x/2 + y/3 = 1 and x/3 + y/2 = 1, and parallel to the line 4x + 5y – 6 = 0?

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Q.6948·Miscellaneous·2018·Easy

What is the distance of the point (2, 3, 4) from the plane 3x – 6y + 2z + 11 = 0?

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