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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.577·Miscellaneous·2025·Easy

In how many ways can the letters of the word DELHI be arranged keeping the positions of vowels and consonants unchanged?

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Q.578·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.579·Miscellaneous·2025·Easy

The sides of a triangle ABC are AB=3 cm, BC=5 cm and CA=7 cm. What is the area of the triangle?

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Q.580·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.581·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.582·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.583·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 andS6. 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: India, at present, has one of the largest road networks in the world. S6: It passes through Howrah, Delhi and Amritsar and terminates in Kabul (Afghanistan). P: The importance of roads has been recognised in India since the ancient times. Q: The Grand Trunk Road was built by Sher Shah Suri across the IndoGangetic plain, from Chittagong (Bangladesh) to Peshawar (Pakistan). R: Kings such as Ashoka and Chandragupta built roads for easy S: Construction of roads continued as an important activity in the late medieval period. transportation of goods and people.

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Q.584·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.585·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. If the bonus scheme has been introduced, then what is the probability that the manager appointed was B?

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Q.586·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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Q.587·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.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 at least 2 ladies?

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Q.589·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.590·Miscellaneous·2025·Easy

The function f(x) satisfies f(y)f(x)​=yx​ for all positive real values of x and y, and f(2)=3. What is f(16) equal to?

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Q.591·Miscellaneous·2025·Easy

Let X be a random variable following binomial distribution with parameters n=6 and p=k. Further, 9P(X=4)=P(X=2). What is the value of P(X=3)?

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Q.592·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.593·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.594·Miscellaneous·2025·Easy

Maize (makka) was introduced into India in the seventeenth century via

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