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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.9109·Miscellaneous·2016·Easy

sin A + 2 sin 2A + sin 3A is equal to which of the following ? 1. 4 sin 2A cos²(A/2) 2. 2 sin 2A (sin²(A/2) + cos²(A/2)) 3. 8 sin A cos A cos²(A/2) Select the correct answer using the code given below :

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Q.9110·Miscellaneous·2016·Easy

Pressure is a scalar quantity because

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Q.9111·Miscellaneous·2016·Easy

If x = sin 70°, sin 50° and y = cos 60°, cos 80°, then what is xy equal to ?

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Q.9112·Miscellaneous·2016·Easy

A person is unable to read a newspaper without his glasses. He is most probably suffering from

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Q.9113·Miscellaneous·2016·Easy

The free fall acceleration g increases as one proceeds, at sea level, from the equator toward either pole. The reason is

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Q.9114·Miscellaneous·2016·Easy

Which one of the following statements is correct ?

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Q.9115·Miscellaneous·2016·Easy

Which one of the following acts is not a contact force ?

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Q.9116·Miscellaneous·2016·Easy

The top of a hill when observed from the top and bottom of a building of height h is at angles of elevation p and q respectively. What is the height of the hill ?

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Q.9117·Miscellaneous·2016·Easy

A moving boat is observed from the top of a cliff of 150 m height. The angle of depression of the boat changes from 60° to 45° in 2 minutes. What is the speed of the boat in metres per hour ?

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Q.9118·Miscellaneous·2016·Easy

What is the equation of the right bisector of the line segment joining (1,1) and (2,3) ?

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Q.9119·Miscellaneous·2016·Easy

What is the radius of the circle passing through the point (2,4) and having centre at the intersection of the lines x - y = 4 and 2x + 3y + 7 = 0 ?

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Q.9120·Miscellaneous·2016·Easy

What is the equation of the straight line which passes through the point of intersection of the straight lines x + 2y = 6 and 3x + y = 17 and is perpendicular to the straight line 3x + 4y = 10 ?

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Q.9121·Miscellaneous·2016·Easy

If (a, b) is at unit distance from the line 8x + 6y + 1 = 0, then which of the following conditions are correct ? 1. 3a - 4b - 4 = 0 2. 8a + 6b + 11 = 0 3. 8a - 6b + 1 = 0 Select the correct answer using the code given below :

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Q.9122·Miscellaneous·2016·Easy

A straight line cuts off an intercept of 2 units on the positive direction of x-axis and passes through the point (-3,5). What is the foot of the perpendicular drawn from the point (3,0) on this line ?

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Q.9123·Miscellaneous·2016·Easy

What is the eccentricity of rectangular hyperbola ?

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Q.9124·Miscellaneous·2016·Easy

When a force of 1 newton acts on a mass of 1 kg which is able to move freely, the object moves in the direction of force with a/an

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Q.9125·Miscellaneous·2016·Easy

Which of the following items is used in the household wirings to prevent accidental fire in case of short circuit ?

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Q.9126·Miscellaneous·2016·Easy

Which of the following are the features of the ideology of utilitarianism ? 1. Utilitarians believed that all value derives from land 2. The most celebrated spokesmen of utilitarianism were Jeremy Bentham and John Stuart Mill 3. Utilitarians were advocates of the idea that India could be ruled through indigenous laws and customs 4. Utilitarians were advocates of the idea of the ‘greatest good for the greatest number of people’ Select the correct answer using the code given below :

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