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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.8029·Miscellaneous·2017·Easy

If a, b, c are non-zero real numbers, then the inverse of the matrix A = [a 0 0] [0 b 0] [0 0 c] is equal to

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Q.8030·Miscellaneous·2017·Easy

A tea party is arranged for 16 people along two sides of a long table with eight chairs on each side. Four particular men wish to sit on one particular side and two particular men on the other side. The number of ways they can be seated is

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Q.8031·Miscellaneous·2017·Easy

If |z - 4/z| = 2, then the maximum value of |z| is equal to

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Q.8032·Miscellaneous·2017·Easy

The angle of elevation of a stationary cloud from a point 25 m above a lake is 15° and the angle of depression of its image in the lake is 45°. The height of the cloud above the lake level is

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Q.8033·Miscellaneous·2017·Easy

The value of tan 9° - tan 27° - tan 63° + tan 81° is equal to

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Q.8034·Miscellaneous·2017·Easy

The angles of elevation of the top of a tower from the top and foot of a pole are respectively 30° and 45°. If hₜ is the height of the tower and hₚ is the height of the pole, then which of the following are correct? 1. (2hₚhₜ)/(3+√3) = (hₚ²) 2. (hₜ - hₚ)/(√3+1) = hₚ/2 3. (2(hₚ + hₜ))/(hₚ) = 4+√3 Select the correct answer using the code given below.

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Q.8035·Miscellaneous·2017·Easy

Statement I: A body weighs less on a hill top than on earth’s surface even though its mass remains unchanged. Statement II: The acceleration due to gravity of the earth decreases with height.

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Q.8036·Miscellaneous·2017·Easy

If the data are moderately non-symmetrical, then which one of the following empirical relationships is correct?

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Q.8037·Miscellaneous·2017·Easy

A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrectly as 40 instead of 35. If we correct the data, then which one of the following is correct?

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Q.8038·Miscellaneous·2017·Easy

If two fair dice are thrown, then what is the probability that the sum is neither 8 nor 9?

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Q.8039·Miscellaneous·2017·Easy

The mean and standard deviation of a binomial distribution are 12 and 2 respectively. What is the number of trials?

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Q.8040·Miscellaneous·2017·Easy

A card is drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that it is an ace?

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Q.8041·Miscellaneous·2017·Easy

Consider the following statements : Statement 1 : Range is not a good measure of dispersion. Statement 2 : Range is highly affected by the existence of extreme values. Which one of the following is correct in respect of the above statements?

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Q.8042·Miscellaneous·2017·Easy

In an examination, 40% of candidates got second class. When the data are represented by a pie chart, what is the angle corresponding to second class?

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Q.8043·Miscellaneous·2017·Easy

If two regression lines between height (x) and weight (y) are 4y - 15x + 410 = 0 and 30x - 2y - 825 = 0, then what will be the correlation coefficient between height and weight?

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Q.8044·Miscellaneous·2017·Easy

A point is chosen at random inside a circle. What is the probability that the distance is closer to the centre of the circle than to its boundary?

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Q.8045·Miscellaneous·2017·Easy

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

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Q.8046·Miscellaneous·2017·Easy

A question is given to three students A, B and C whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the question will be solved?

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