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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.5761·Miscellaneous·2020·Easy

One page is torn from a booklet whose pages are numbered in the usual manner starting from the first page as 1. The sum of the numbers on the remaining pages Is 195. The torn page contains which of the following numbers?

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Q.5762·Miscellaneous·2020·Easy

A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32, ..... results in a sequence with respect to prime numbers. Which one of the following is the next number in the sequence?

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Q.5763·Miscellaneous·2019·Easy

In this question consist of two statements, Statement I and Statement II. Examine these two statements carefully and select the correct answer using the code given below. Statement I : The pitch of the sound wave depends upon its frequency. Statement II : The loudness of the sound wave depends upon its amplitude.

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Q.5764·Miscellaneous·2019·Easy

The class marks in a frequency table are given to be 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. The class limits of the first five classes are

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Q.5765·Miscellaneous·2019·Easy

For the variables x and y, the two regression lines are 6x + y = 30 and 3x + 2y = 25. What are the values of x̄, ȳ and r respectively?

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Q.5766·Miscellaneous·2019·Easy

Consider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function g(x) ?

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Q.5767·Miscellaneous·2019·Easy

Arithmetic mean of 10 observations is 60 and sum of squares of deviations from 50 is 5000. What is the standard deviation of the observations?

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Q.5768·Miscellaneous·2019·Easy

The median of the observations 22, 24, 33, 37, x + 1, x + 3, 46, 47, 57, 58 in ascending order is 42. What are the values of 5th and 6th observations respectively ?

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Q.5769·Miscellaneous·2019·Easy

A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in succession without replacement, then what is the probability that all three books are defective?

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Q.5770·Miscellaneous·2019·Easy

A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the probability of getting at most two tails?

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Q.5771·Miscellaneous·2019·Easy

The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys is 70 kg and that of girls is 55 kg. What are the number of boys and girls respectively in the class?

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Q.5772·Miscellaneous·2019·Easy

A car travels first 60 km at a speed of 3v km/hr and travels next 60 km at 2v km/hr. What is the average speed of the car?

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Q.5773·Miscellaneous·2019·Easy

If the range of a set of observations on a variable X is known to be 25 and if Y = 40 + 3X, then what is the range of the set of corresponding observations on Y?

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Q.5774·Miscellaneous·2019·Easy

Mean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean and new standard deviation respectively?

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Q.5775·Miscellaneous·2019·Easy

Consider the following statements: 1.If A and B are mutually exclusive events, then it is possible that P(A) = P(B) = 0.6. 2. If A and B are any two events such that P(A|B) = 1, then P(B|Ā) = 1. Which of the above statements is/are correct?

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Q.5776·Miscellaneous·2019·Easy

If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes?

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Q.5777·Miscellaneous·2019·Easy

There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

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Q.5778·Miscellaneous·2019·Easy

If 5 of a Company’s 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen will meet emission standards?

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