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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.577·Miscellaneous·2025·Easy

What is the area bounded by the function f(x) and the x-axis?

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Q.578·Miscellaneous·2025·Easy

What is the number of selections of at most 3 things from 6 different things?

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Q.579·Miscellaneous·2025·Easy

If the number of selections of r as well as (n+r) things from 5n different things are equal, then what is the value of r?

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Q.580·Miscellaneous·2025·Easy

Height (in cm) Number of Students 160-162 12 162-164 15 164-166 24 166-168 13 What is the total number of students whose height is less than or equal to 165 cm?

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Q.581·Miscellaneous·2025·Easy

The standard deviation of 100 observations is 10. If 5 is added to each observation and then divided by 20, then what will be the new standard deviation?

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Q.582·Miscellaneous·2025·Easy

Let f={(1,1),(2,4),(3,7),(4,10)}. If f(x)=px+q, then what is the value of (p+q)?

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Q.583·Miscellaneous·2025·Easy

Consider the following statements : I. f(x) is an increasing function. II. f(x) has local maximum at x=0. Which of the statements given above is/are correct?

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Q.584·Miscellaneous·2025·Easy

Which of the following main industry/ industries was/were developed in the second industrial revolution that took place after about 1850?

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Q.585·Miscellaneous·2025·Easy

If the sum of binomial coefficients in the expansion of (x+y)^n is 256, then the greatest binomial coefficient occurs in which one of the following terms?

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Q.586·Miscellaneous·2025·Easy

Directions : In this section each item consists of six sentences that comprise a passage. The first and sixth sentences are given in the beginning as S1 and S6. The sequence of the middle four sentences has been jumbled up and labelled as P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly on the answer sheet. S1: Although all sources of energy ultimately come from natural processes, non-renewable resources cannot be replaced naturally at the rate they are being used. S6: The sustainable use of natural resources in a manner that provides the maximum benefit of these resources to humans over a period of time can be termed as conservation. P: This will increase the time and cost of mining and once these resources are used up they cannot be replaced. Q: Hence, we must remember that though our country is rich in mineral deposits these resources are short-lived. R Extraction of these ores through the process of mining will soon become difficult and very expensive because these minerals have to be mined from greater depths over time. S: Mineral resources can be said to be finite and non-renewable.

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Q.587·Miscellaneous·2025·Easy

Which one of the following sculptures found at Sanchi Stupa is NOT directly inspired by Buddhist ideas?

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Q.588·Miscellaneous·2025·Easy

A committee of 6 members is formed from a group of 7 gentlemen and 4 ladies. What is the probability that the committee includes exactly 3 gentlemen?

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Q.589·Miscellaneous·2025·Easy

A committee of 6 members is formed from a group of 7 gentlemen and 4 ladies. What is the probability that the committee includes at least 2 ladies?

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Q.590·Miscellaneous·2025·Easy

Identify the most appropriate discourse marker/expression and mark your answer: _________ ,the problem is nothing but a wrong assumption about process.

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Q.591·Miscellaneous·2025·Easy

I. The function is continuous at x = -1. II. The function is differentiable at x = 1. Which of the statements given above is/are correct?

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Q.592·Miscellaneous·2025·Easy

Directions : In this section each item consists of six sentences that comprise a passage .The first and sixth sentences are given in the beginning as S1 and S6. The sequence of the middle four sentences has been jumbled up and labelled as P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly on the answer sheet. S1: National highways connect one state with another and are of national importance. S6: These road systems are also known as primary road systems and are laid and operated under the supervision of the National Highway Authority of India. P: They are important because whereas they constitute merely two per cent of the total road networks, they nevertheless carry 40 per cent of the total road traffic. Q The road infrastructure of the country is therefore crucial, and their construction and maintenance is of critical importance. R: They bear the load of traffic because these roads connect long distances and pass through major cities and towns. S: Since they cover the length and breadth of the nation and connect cities and towns, these highways are the primary facilitators of trade and connectivity.

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Q.593·Miscellaneous·2025·Easy

Consider the following statements : I. f is one-one function. II. f is onto function if the codomain is the set of natural numbers. Which of the statements given above is/are correct?

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Q.594·Miscellaneous·2025·Easy

The probabilities that A, B and C become managers are 3/10, 1/2 and 4/5 respectively. The probabilities that bonus scheme will be introduced if A, B and C become managers are 4/9, 2/9 and 1/3 respectively. What is the probability that the bonus scheme will be introduced?

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