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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.1351·Miscellaneous·2024·Easy

If the sum and product of the roots of a quadratic equation are 2 and -100 respectively, then which one of the following is correct ?

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Q.1352·Miscellaneous·2024·Easy

What is the geometric mean of 3, 9, 27, 81, 243, 729, 2187 ?

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Q.1353·Miscellaneous·2024·Easy

Consider the following data : 110, 41, 43, 95, 127, 99, 61, 92, 71, 93, 110, 36. If 93 is replaced by 94, then consider the following statements: 1. The difference between new median and old median is 1. 2. The difference between new mean and old mean is less than 0.1. 3. The difference between new mode and old mode is zero. Which of the statements given above are correct?

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Q.1354·Miscellaneous·2024·Easy

If t = cos 79°, then what is cosec 79° (1 – cos 79°) equal to ?

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Q.1355·Miscellaneous·2024·Easy

Two trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km. If the lengths of the two trains A and B are 400 m and 500 m respectively, then what is the time taken by them to cross each other?

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Q.1356·Miscellaneous·2024·Easy

What is the digit at the 100 th place of number (225) 40 ?

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Q.1357·Miscellaneous·2024·Easy

p number of men can finish a piece of work in q days. If there are 50% more men, then the work will be finished 12 days earlier. What is the value of q?

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Q.1358·Miscellaneous·2024·Easy

What is the minimum value of (a 2 +3a+1/a) + (b 2 +3b+1/b) for a, b > 0?

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Q.1359·Miscellaneous·2024·Easy

The sum of two positive numbers is 40. If the GM of these two numbers is lower than their AM by 20%, then what is the difference between the two numbers?

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Q.1360·Miscellaneous·2024·Easy

From a circular metal plate of radius 7 cm and thickness 0.16 mm, a sector is cut off containing an angle 150°. The remaining piece is moulded into a spherical bead of radius r . What is the value of r in cm?

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Q.1361·Miscellaneous·2024·Easy

ABCD is a circle with centre O and taking OC as a diameter, a circle is drawn as shown in the figure given below. Let OB = 7 cm. (Use π = 22/7). What is the ratio of the area of the shaded region to the area of the non-shaded region?

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Q.1362·Miscellaneous·2024·Easy

Let two parallel line segments PQ = 5 cm and RS = 3 cm be perpendicular to a horizontal line AB, as shown in the figure given below. The point of intersection of PS and QR is M and MN is perpendicular to QS. What is the ratio of the area of the quadrilateral PQNM to the area of the quadrilateral RSNM?

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Q.1363·Miscellaneous·2024·Easy

A sum of money invested at simple interest triples itself in 8 years and becomes n times in 20 years. What is the value of n?

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Q.1364·Miscellaneous·2024·Easy

If the work done by x men in (x + 1) days is equal to the work done by (x + 5) men in (x – 2) days, then what is the value of x?

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Q.1365·Miscellaneous·2024·Easy

If (a + b) : (b + c) : (c + a) = 5 : 7 : 6, then what is the value of (a – b + c) : (a + b – c)?

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Q.1366·Miscellaneous·2024·Easy

Let two parallel line segments PQ = 5 cm and RS = 3 cm be perpendicular to a horizontal line AB, as shown in the figure given below. The point of intersection of PS and QR is M and MN is perpendicular to QS. What is the length of MN?

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Q.1367·Miscellaneous·2024·Easy

Let N = 12345678AB be a 10-digit number, where A, B are digits. If N is divisible by 9, then which of the following statements is/are correct? I. (A+B) is divisible by 9 II. If A is odd, then B is odd Select the answer using the code given below:

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Q.1368·Miscellaneous·2024·Easy

If p, q and r are the lengths (in cm) of the sides of a right-angled triangle, then (p - q – r)(q – r – p)(r – p - q) is always

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