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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.3043·Miscellaneous·2022·Easy

Who among the following has described the medieval Indian postal system as of two kinds—the horse-post called ‘Uluq’ and the foot-post called ‘Dawa’?

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Q.3044·Miscellaneous·2022·Easy

At which among the following Harappan sites are fire altars found?

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Q.3045·Miscellaneous·2022·Easy

What is the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis?

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Q.3046·Miscellaneous·2022·Easy

Consider the following statements on computation of density : Physiological density can be computed by dividing the total population by the net cultivable area. Agricultural density can be computed by dividing the total agricultural population by the net cultivable area. Population density can be computed by dividing the total population by the total area. How many of the above statements is/are correct?

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Q.3047·Miscellaneous·2022·Easy

What is the solution of the differential equation (dy – dx) + cos x(dy + dx) = 0?

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Q.3048·Miscellaneous·2022·Easy

The formation of ‘tors’ on small rocky hills is associated with which among the following?

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Q.3049·Miscellaneous·2022·Easy

Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If x/y = 55/42², then what is the value of n?

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Q.3050·Miscellaneous·2022·Easy

Consider the following statements about anticyclones : Anticyclones are high pressure systems. Air in the centre of the system must be subsiding. Anticyclones are characterized by converging winds. How many of the above statements is/are correct?

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Q.3051·Miscellaneous·2022·Easy

If dy/dx = (ln 5)y with y(0) = ln 5, then what is y(1) equal to?

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Q.3052·Miscellaneous·2022·Easy

If y = (x^x)^x, then what is the value of dy/dx at x = 1?

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Q.3053·Miscellaneous·2022·Easy

Let y = [x + 1], -4 < x < -3 where [.] is the greatest integer function. What is the derivative of y with respect to x at x = -3.5?

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Q.3054·Miscellaneous·2022·Easy

What is the value of sin 0° + sin 10° + sin 20° + sin 30° + ... + sin 360° ?

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Q.3055·Miscellaneous·2022·Easy

A radioactive substance decays at a rate proportional to the amount of substance present. If half of the substance decays in 100 years, then what is the decay constant (proportionality constant) ?

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Q.3056·Miscellaneous·2022·Easy

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B. Let P : Q = (5n + 4) : (9n + 6) What is the ratio of their 10th terms?

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Q.3057·Miscellaneous·2022·Easy

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B. Let P : Q = (5n + 4) : (9n + 6) If d is the common difference of A , and D is the common difference of B , then which one of the following is always correct?

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Q.3058·Miscellaneous·2022·Easy

Consider the binomial expansion of (p + qx)⁹ What is the ratio of the coefficients of middle terms in the expansion (when expanded in ascending powers of x)?

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Q.3059·Miscellaneous·2022·Easy

Consider the word ‘QUESTION’ : How many 4-letter words each of two vowels and two consonants with or without meaning, can be formed?

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Q.3060·Miscellaneous·2022·Easy

Consider the word ‘QUESTION’ : How many 8-letter words with or without meaning, can be formed such that consonants and vowels occupy alternate positions?

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