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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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Q.11989·Miscellaneous·2014·Easy

The HCF of two natural numbers m and n is 24 and their product is 552. How many sets of values of m and n are possible?

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Q.11990·Miscellaneous·2014·Easy

A certain number of two digits is three times the sum of its digits. If 45 is added to the number, the digits will be reversed. What is the sum of the squares of the two digits of the number?

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Q.11991·Miscellaneous·2014·Easy

If from the top of a post a string twice the length of the post is stretched tight to a point on the ground, then what angle will the string make with the post?

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Q.11992·Miscellaneous·2014·Easy

The price of a commodity increased by 5% from 2010 to 2011, 8% from 2011 to 2012 and 77% from 2012 to 2013. What is the average price increase (approximate) from 2010 to 2013?

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Q.11993·Miscellaneous·2014·Easy

A railroad curve is to be laid on a circle. What radius (approximate) should be used if the track is to change direction by 25° in a distance of 120 m?

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Q.11994·Miscellaneous·2014·Easy

What is sec x / (cot x + tan x) equal to?

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Q.11995·Miscellaneous·2014·Easy

From a certain point on a straight road, a person observes a tower in the west direction at a distance of 200 m. He walks some distance along the road and finds that the same tower is 300 m south of him. What is the shortest distance of the tower from the road?

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Q.11996·Miscellaneous·2014·Easy

What is (sin x - cos x + 1) / (sin x + cos x - 1) equal to?

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Q.11997·Miscellaneous·2014·Easy

What is (sin x cos y + cos x sin y) / (sin x cos y - cos x sin y) equal to?

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Q.11998·Miscellaneous·2014·Easy

What is (1 + cot x - cosec x) / (1 + tan x + sec x) equal to?

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Q.11999·Miscellaneous·2014·Easy

What is (cosec x - sin x)(sec x - cos x) / (tan x + cot x) equal to?

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Q.12000·Miscellaneous·2014·Easy

Consider the following statements: 1.sin 1° > sin 1 2.cos 1° < cos 1 Which of the above statements is/are correct?

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Q.12001·Miscellaneous·2014·Easy

What is the number of pairs of perpendicular planes in a cuboid?

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Q.12002·Miscellaneous·2014·Easy

How many equilateral triangles can be formed by joining any three vertices of a cube?

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Q.12003·Miscellaneous·2014·Easy

Consider the following statements: 1.Area of triangle ADM + Area of triangle DCM is equal to three-fourth of the area of trapezium ABCD, if AB = CD. 2.Area of triangle ABM is always greater than half of the area of trapezium ABCD. Which of the above statements is/are correct?

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Q.12004·Miscellaneous·2014·Easy

Arrange the following features formed by rivers in its course starting from upstream : 1. Meanders 2. Falls 3. Delta 4. Oxbow Lake Select the correct answer using the code given below :

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Q.12005·Miscellaneous·2014·Easy

Which of the following statements relating to Indian agriculture is/are correct ? 1. India has the World's largest cropped area. 2. Cropping pattern is dominated by cereal crop. 3. The average size of an Indian farm holding is too small for several agricultural operations. Select the correct answer using the code given below :

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Q.12006·Miscellaneous·2014·Easy

In this question, you are required to spot errors in sentences. Each sentence is divided into three parts. Read each sentence to find out whether there is an error in any of the parts. No sentence has more than one error. Some of the sentences do not have any error. When you find an error in a sentence, the letter indicated under that part of the sentence is the answer and therefore the same may be marked on the separate Answer Sheet. If there is no error in any part, then (d) which stands for "No error" is the answer for the item. (a) There is (b) no place (c) in this compartment. (d) No error

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