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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.5869·Miscellaneous·2019·Easy

Two symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. What is the probability that both land on the same colour?

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Q.5870·Miscellaneous·2019·Easy

If two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers on the dice is 8?

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Q.5871·Miscellaneous·2019·Easy

The mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?

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Q.5872·Miscellaneous·2019·Easy

If two variables X and Y are independent, then what is the correlation coefficient between them?

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Q.5873·Miscellaneous·2019·Easy

If A, B, C are three events, then what is the probability that at least two of these events occur together?

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Q.5874·Miscellaneous·2019·Easy

A fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?

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Q.5875·Miscellaneous·2019·Easy

A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first?

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Q.5876·Miscellaneous·2019·Easy

A problem is given to three students A, B and C whose probabilities of solving the problem are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if they all solve the problem independently?

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Q.5877·Miscellaneous·2019·Easy

From a deck of cards, cards are taken out with replacement. What is the probability that the fourteenth card taken out is an ace?

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Q.5878·Miscellaneous·2019·Easy

What are the values of x that satisfy the equation |x 0 2| |3x 0 2| |2x 2 1| + |x² 2 1| = 0 ? |1 1 1| |0 1 1|

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Q.5879·Miscellaneous·2019·Easy

What is the value of the determinant |1! 2! 3!| |2! 3! 4!| |3! 4! 5!| ?

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Q.5880·Miscellaneous·2019·Easy

What is the number of diagonals of an octagon?

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Q.5881·Miscellaneous·2019·Easy

If P(n, r) = 2520 and C(n, r) = 21 , then what is the value of C(n + 1, r + 1) ?

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Q.5882·Miscellaneous·2019·Easy

In a school, 50% students play cricket and 40% play football. If 10% of students play both the games, then what percent of students play neither cricket nor football?

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Q.5883·Miscellaneous·2019·Easy

If x + a + b + c = 0 , then what is the value of |x + a b c| |a x + b c| |a b x + c| ?

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Q.5884·Miscellaneous·2019·Easy

Which of the following is/are environmental effects of Rotation of the Earth? 1. Daily or diurnal rhythm in daylight and air temperature 2. Flow path of both air and water are turned consistently in a side-ward direction 3. The movement of the tides Select the correct answer using the code given below:

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Q.5885·Miscellaneous·2019·Easy

"Mission Indradhanush" is related to

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Q.5886·Miscellaneous·2019·Easy

River Sarda drains in the Northern Plains of Uttar Pradesh. Before entering in the Plains, Sarda is known as

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