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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

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

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Q.5870·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.5871·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.5872·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.5873·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.5874·Miscellaneous·2019·Easy

The angle of elevation of a tower of height h from a point A due South of it is x and from a point B due East of A is y. If AB = z, then which one of the following is correct?

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Q.5875·Miscellaneous·2019·Easy

How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5 when repetition of digits is not allowed?

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Q.5876·Miscellaneous·2019·Easy

In a circle of diameter 44 cm, the length of a chord is 22 cm. What is the length of minor arc of the chord?

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Q.5877·Miscellaneous·2019·Easy

What is the area of one of the loops between the curve y = c sin x and x-axis?

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Q.5878·Miscellaneous·2019·Easy

The value of k which makes f(x) = { sin x, x ≠ 0} {k, x = 0 } continuous at x = 0, is  

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Q.5879·Miscellaneous·2019·Easy

Consider the following in respect of the differential equation: d²y/dx² + 2(dy/dx)² + 9y = x 1.The degree of the differential equation is 1. 2.The order of the differential equation is 2. Which of the above statements is/are correct?

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Q.5880·Miscellaneous·2019·Easy

The differential equation of the system of circles touching the y-axis at the origin is

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Q.5881·Miscellaneous·2019·Easy

A given quantity of metal is to be cast into a half cylinder (i.e. with a rectangular base and semicircular ends). If the total surface area is to be minimum, then the ratio of the height of the half cylinder to the diameter of the semicircular ends is

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Q.5882·Miscellaneous·2019·Easy

If y = a cos 2x + b sin 2x, then

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Q.5883·Miscellaneous·2019·Easy

Which one of the following statements regarding Cholera is correct?

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Q.5884·Miscellaneous·2019·Easy

Consider the following statements related to Dayanand's idea of social reform : 1. Dayanand's reform envisaged a social order, where different castes performed functions suitable to their status determined by merit. 2. Dayanand's 'robust Vedic counterpart' challenged the masculine West that had enslaved the Aryavarta. Which of the statement/s given above is/are correct?

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Q.5885·Miscellaneous·2019·Easy

What is the fourth term of an AP of n terms whose sum is n(n + 1)?

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Q.5886·Miscellaneous·2019·Easy

Kamarajar Port was commissioned in 2001 to handle thermal coal requirements. It is situated along the coast of which Indian State?

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