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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.3403·Miscellaneous·2022·Easy

If the sum of the squares of the roots of the equation x2 - 14x + k = 0 is 100, then what is the value of k ?

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Q.3404·Miscellaneous·2022·Easy

What is the HCF of (x^8 - y^8) and (x^7 - y^7 + x^5y^2 - x^2y^5) ?

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Q.3405·Miscellaneous·2022·Easy

X and Y can do a piece of work in 45 days and 40 days respectively. They begin to work together, but X leaves after n days and then Y completes the remaining work in 23 days. What is n equal to ?

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Q.3406·Miscellaneous·2022·Easy

480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day ?

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Q.3407·Miscellaneous·2022·Easy

12 women and 16 men can do a piece of work in 5 days. 13 women and 24 men can do it in 4 days. How long will 25 women and 50 men take to do it ?

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Q.3408·Miscellaneous·2022·Easy

There are two stations X and Y, 1320 km apart. A train starts from station X at 6 a.m. and moves at an average speed of 60 km/hr. At 2 p.m. another train starts from Y towards X and moves at an average speed of 80 km/hr. When do they meet ?

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Q.3409·Miscellaneous·2022·Easy

Two glasses of equal volume are filled with a mixture of alcohol and water in the ratio 3: 2 and 4:1, respectively. These glasses are emptied into a third glass. What is the ratio of alcohol and water in the third glass ?

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Q.3410·Miscellaneous·2022·Easy

If x is the HCF and y is the LCM of 3/5, 6/25, 9/20, 27/50, then which one of the following is correct ?

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Q.3411·Miscellaneous·2022·Easy

There are two natural numbers x and y, where x > y. When x is divided by 6, it leaves the remainder 2 and; when y is divided by 6, it leaves the remainder 3. What is the remainder when (x - y) is divided by 6 ?

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Q.3412·Miscellaneous·2022·Easy

The value of a 2-digit number is 5 times the sum of the digits. What is the product of the digits ?

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Q.3413·Miscellaneous·2022·Easy

Consider the number N = 12^6 x 3^8 x 5^3. Which of the following statements is/are correct ? 1. The number of odd factors of N is 60. 2. The number of even factors of N is 720. Select the correct answer using the code given below:

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Q.3414·Miscellaneous·2022·Easy

If (a^3 + b^3) is proportional to (a^2 - b^2), then(a^2 - ab + b^2) is proportional to

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Q.3415·Miscellaneous·2022·Easy

In the following questions a pair of similar sounding words is provided. You are required to select the option that most appropriately describes the meaning of both the words and mark your response on the Answer Sheet accordingly. ‘Reward’ and ‘Award’

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Q.3416·Miscellaneous·2022·Easy

Honesty is the best policy.

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Q.3417·Miscellaneous·2022·Easy

Ravi and Megha reached first, but Guha and Saavi finished third.

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Q.3418·Miscellaneous·2022·Easy

He is the most sought after teacher in the school.

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Q.3419·Miscellaneous·2022·Easy

The lake is one of the more beautiful ones in the country.

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Q.3420·Miscellaneous·2022·Easy

A spherical ball of lead 6 cm in diameter is melted and recast into three spherical balls. The diameters of the balls are2 cm, 4 cm and x cm. Which one of the following is correct ?

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