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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.1369·Miscellaneous·2024·Easy

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

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Q.1370·Miscellaneous·2024·Easy

Two circles with centres at O 1 ​ and O 2 touching each other are placed inside a rectangle of sides 9 cm and 8 cm as shown in the figure given below. What is the area of the shaded region ?

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Q.1371·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.1372·Miscellaneous·2024·Easy

Area of a rectangle with length x and breadth y is P and area of a parallelogram (which is strictly not a rectangle) with adjacent sides of length x and y is Q. Question: Is P > Q? Statement-I: x : y = 2 : 1 Statement-II: The angle between the two adjacent sides of the parallelogram is 60°.

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Q.1373·Miscellaneous·2024·Easy

A circle touches all the four sides AB, BC, CD, DA of a quadrilateral ABCD. Question: What is the perimeter of the quadrilateral? Statement-I: AB + DC = 10 cm Statement-II: AD + BC = 10 cm

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Q.1374·Miscellaneous·2024·Easy

Question: What is the ratio of the lengths of diagonals of a rhombus? Statement-I: One diagonal of the rhombus is equal to its side. Statement-II: The longer diagonal of the rhombus is equal to √3 times its side.

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Q.1375·Miscellaneous·2024·Easy

A triangle CEF is drawn inside a square ABCD as shown in the figure given below. Given: CF = 8 cm, EF = 6 cm and CE = 10 cm. What is the area of triangle CDE?

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Q.1376·Miscellaneous·2024·Easy

The arithmetic mean of n numbers is M. If the sum of first (n -1) terms is k, then what is the nth number?

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Q.1377·Miscellaneous·2024·Easy

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

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Q.1378·Miscellaneous·2024·Easy

Let ABCD be the diameter of a circle of radius 6 cm. The lengths AB, BC and CD are equal. Semi-circles are drawn with AB and BD as diameters as shown in the figure given below. What is the perimeter of the shaded region ?

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Q.1379·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.1380·Miscellaneous·2024·Easy

Let a, b and c be the sides of a triangle ABC. Question: Is the triangle equilateral? Statement-I: a² + b² + c² = (ab + bc + ca) Statement-II: 3a² + 3b² + 4c² = 2ab + 4bc + 4ca

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Q.1381·Miscellaneous·2024·Easy

Question: Is xy positive? Statement-I: x = ∛-0.19683 Statement-II: y = ∛x

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Q.1382·Miscellaneous·2024·Easy

The following Pie-Chart-I shows the people migrating to Delhi from different Indian States (P, Q and R are three different States and S is the combined group of other States) and Pie-Chart-II indicates the different age groups A, B, C and D of these migrating people for each State. What is the difference between number of people coming from R having age group A and those coming from Q having age group D ?

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Q.1383·Miscellaneous·2024·Easy

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

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Q.1384·Miscellaneous·2024·Easy

The cost price of y articles is equal to selling price of z articles. If y : z = 5 : 4, what is the profit percentage?

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Q.1385·Miscellaneous·2024·Easy

Consider the following in respect of the polynomial x 4k + x 4k+2 + x 4k+4 + x 4k+6 : 1. The remainder is zero when the polynomial is divided by x² + 1 . 2. The remainder is zero when the polynomial is divided by x⁴ + 1 . Which of the statements given above is/are correct?

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Q.1386·Miscellaneous·2024·Easy

The expression 555 777 + 777 555 is divisible by which of the following? 2 3 37 Select the correct answer using the code given below:

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