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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.8785·Miscellaneous·2017·Easy

The ratio of two numbers is 1 : 5 and their product is 320. What is the difference between the squares of these two numbers?

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Q.8786·Miscellaneous·2017·Easy

The system of equations 2x + 4y = 6 and 4x + 8y = 8 is

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Q.8787·Miscellaneous·2017·Easy

Aman and Alok attempted to solve a quadratic equation. Aman made a mistake in writing down the constant term and ended up in roots (4, 3). Alok made a mistake in writing down the coefficient of x to get roots (3, 2). The correct roots of the equation are

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Q.8788·Miscellaneous·2017·Easy

Consider the following statements: 1. Of two consecutive integers, one is even. 2. Square of an odd integer is of the form 8n + 1. Which of the above statements is/are correct?

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Q.8789·Miscellaneous·2017·Easy

Consider the following statements: 1. If a = bc with HCF(b, c) = 1, then HCF(c, bd) = HCF(c, d). 2. If a = bc with HCF(b, c) = 1, then LCM(a, d) = LCM(c, bd). Which of the above statements is/are correct?

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Q.8790·Miscellaneous·2017·Easy

The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1 : 2 : 3 : 4. If the loss in total value of the diamond was ₹70,000, what was the price of the original diamond?

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Q.8791·Miscellaneous·2017·Easy

In a 100 m race, A runs at a speed of 5/3 m/s. If A gives a start of 4 m to B and still beats him by 12 seconds, what is the speed of B?

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Q.8792·Miscellaneous·2017·Easy

If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would do as much work as 2 men?

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Q.8793·Miscellaneous·2017·Easy

If a% of a + b% of b = 2% of ab, then what percent of a is b?

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Q.8794·Miscellaneous·2017·Easy

The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0 intersect each other, if

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Q.8795·Miscellaneous·2017·Easy

The number of prime numbers which are less than 100 is

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Q.8796·Miscellaneous·2017·Easy

A 225 m long train is running at a speed of 30 km/hour. How much time does it take to cross a man running at 3 km/hour in the same direction?

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Q.8797·Miscellaneous·2017·Easy

Which one among the following is the largest?

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Q.8798·Miscellaneous·2017·Easy

What number must be subtracted from both the numerator and the denominator of the fraction 27/35 so that it becomes 2/3?

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Q.8799·Miscellaneous·2017·Easy

A and B working together can finish a piece of work in 12 days while B alone can finish it in 30 days. In how many days can A alone finish the work?

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Q.8800·Miscellaneous·2017·Easy

If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is

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Q.8801·Miscellaneous·2017·Easy

A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?

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Q.8802·Miscellaneous·2017·Easy

(x + 4) is a factor of which one of the following expressions?

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