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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.5851·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.5852·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.5853·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.5854·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.5855·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.5856·Miscellaneous·2019·Easy

Who among the following was named ICC’s emerging player of the year 2018?

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Q.5857·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.5858·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.5859·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.5860·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.5861·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.5862·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.5863·Miscellaneous·2019·Easy

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

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Q.5864·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.5865·Miscellaneous·2019·Easy

Which one of the following cities was named by UNESCO as World Capital of Architecture for 2020?

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Q.5866·Miscellaneous·2019·Easy

The 15th Pravasi Bharatiya Divas, 2019 was held in

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Q.5867·Miscellaneous·2019·Easy

Who among the following was appointed as head of the seven member committee to look into revenue shortfall being faced by the states after the GST roll-out in India and suggest steps for augmenting collections?

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Q.5868·Miscellaneous·2019·Easy

Who among the following was awarded The Hindu Prize in Fiction category for the year 2018?

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