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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.6175·Miscellaneous·2019·Easy

The angles of elevation of the tops of two pillars of heights h and 2h from a point P on the line joining the feet of the two pillars are complementary. If the distances of the foot of the pillars from the point P are x and y respectively, then which one of the following is correct?

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Q.6176·Miscellaneous·2019·Easy

Let the bisector of the angle BAC of a triangle ABC meet BC in X. Which one of the following is correct?

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Q.6177·Miscellaneous·2019·Easy

Let x be the smallest positive integer such that when 14 divides x, the remainder is 7; and when 15 divides x, the remainder is 5. Which one of the following is correct?

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Q.6178·Miscellaneous·2019·Easy

Two taps X and Y are fixed to a water tank. If only X is opened, it drains out the full tank of water in 20 minutes. If both X and Y are opened, then they drain out the full tank of water in 15 minutes. If only Y is opened, how long does it take to drain out the full tank of water?

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Q.6179·Miscellaneous·2019·Easy

Consider the following statements: 1. √75 is a rational number. 2. There exists at least a positive integer x such that (4x – 7)/5 < 8 3. (x – 2)/x < 1 for all real values of x. 4. 4·232323... can be expressed in the form p/q where p and q are integers. Which of the above statements are correct?

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Q.6180·Miscellaneous·2019·Easy

A library has an average number of 510 visitors on Sunday and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with Saturday?

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Q.6181·Miscellaneous·2019·Easy

If 36/11 = 3 + 1/(x + 1/(y + 1/z)), where x, y and z are natural numbers, then what is (x + y + z) equal to ?

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Q.6182·Miscellaneous·2019·Easy

A person sells two items each at Rs. 990, once at a profit of 10% and another at a loss of 10%. What is the combined percentage of profit or loss for the two items ?

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Q.6183·Miscellaneous·2019·Easy

It takes 11 hours for a 600 km journey if 120 km is done by train and the rest by car. It takes 40 minutes more if 200 km are covered by train and the rest by car. What is the ratio of speed of the car to that of the train ?

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Q.6184·Miscellaneous·2019·Easy

The sum of the squares of four consecutive natural numbers is 294. What is the sum of the numbers ?

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Q.6185·Miscellaneous·2019·Easy

How many pairs of natural numbers are there such that the difference of their squares is 35 ?

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Q.6186·Miscellaneous·2019·Easy

Which one of the following is not correct ?

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Q.6187·Miscellaneous·2019·Easy

HCF of two numbers is 12. Which one of the following can never be their LCM?

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Q.6188·Miscellaneous·2019·Easy

The rate of interest on two different schemes is the same and it is 20%. But in one of the schemes, the interest is compounded half yearly and in the other the interest is compounded annually. Equal amounts are invested in the schemes. If the difference of the returns after 2 years is ₹482, then what is the principal amount in each scheme?

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Q.6189·Miscellaneous·2019·Easy

X, Y and Z start at same point and same time in the same direction to run around a circular stadium. X completes a round in 252 seconds, Y in 308 seconds and Z in 198 seconds. After what time will they meet again at the starting point?  

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Q.6190·Miscellaneous·2019·Easy

What is the LCM of 1/3, 5/6, 2/9, 4/27?

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Q.6191·Miscellaneous·2019·Easy

A trader sells two computers at the same price, making a profit of 30% on one and a loss of 30% on the other. What is the net loss or profit percentage on the transaction?

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Q.6192·Miscellaneous·2019·Easy

The train fare and bus fare between two stations is in the ratio 3:4. If the train fare increases by 20% and bus fare increases by 30%, then what is the ratio between revised train fare and revised bus fare?

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