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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.1333·Miscellaneous·2024·Easy

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

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Q.1334·Miscellaneous·2024·Easy

Two trains A and B leave Delhi for Hyderabad at 7:00 a.m. and 7:50 a.m. on the same day and travel at 80 kmph and 100 kmph respectively. After how many kilometers from Delhi will the two trains be together?

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Q.1335·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.1336·Miscellaneous·2024·Easy

If P is the area of the smallest sector and Q is the area of the largest sector, then what is P + Q equal to?

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Q.1337·Miscellaneous·2024·Easy

If p is the perimeter of the smallest sector, then what is the value of 9p?

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Q.1338·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.1339·Miscellaneous·2024·Easy

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

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Q.1340·Miscellaneous·2024·Easy

What is the sum of the largest and the smallest 4-digit numbers made by using single digit prime numbers(without repetition)?

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Q.1341·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.1342·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.1343·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.1344·Miscellaneous·2024·Easy

When the number (12345678910111213 … 99100) is divided by 16, what will be the remainder?

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Q.1345·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 maximum of differences between the number of people coming from different groups P, Q, R and S ?

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Q.1346·Miscellaneous·2024·Easy

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

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Q.1347·Miscellaneous·2024·Easy

Consider the following statements: 1. If (3m 2 +2m 2 +n)/m is not an integer, where mm m and nn n are integers, then nn n is not divisible by mm m . 2. 5 (8m) +2 3m is divisible by 48 for all whole numbers mm m . Which of the statements given above is/are correct?

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Q.1348·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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Q.1349·Miscellaneous·2024·Easy

If the difference between the interior and exterior angles of a regular polygon is 144°, then what is the number of sides of the polygon ?

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Q.1350·Miscellaneous·2024·Easy

The speeds of four cars are 2u, 3u, 4u and xu and the time taken by them to cover the same distance is xt, 4t, 3t and 2t respectively, where x, u, t are real numbers. What is the value of x ?

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