Question Library
Browse our collection of questions across various subjects
Mathematics
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If a = √7 + 4√3, then what is the value of a² – 4 ?
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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If (b – 6) is one root of the quadratic equation x² – 6x + b = 0, where b…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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How many pairs of natural numbers are there such that the difference of their squares is 35 ?
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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The equation x² + px + q = 0 has roots equal to p and q where q ≠ 0.…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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The sum of the squares of four consecutive natural numbers is 294. What is the sum of the numbers ?
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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What is the digit in the unit’s place of the number represented by 39⁸ + 38⁹ ?
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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If 10^n divides 6³ × 7⁵ × 10²⁵, then what is the largest value of n ?
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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A real number x is such that (x – x²) is maximum. What is x equal to ?
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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It takes 11 hours for a 600 km journey if 120 km is done by train and the rest by…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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A person sells two items each at Rs. 990, once at a profit of 10% and another at a loss…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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If 36/11 = 3 + 1/(x + 1/(y + 1/z)), where x, y and z are natural numbers, then what…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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A library has an average number of 510 visitors on Sunday and 240 on other days. What is the average…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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Consider the following statements: 1. √75 is a rational number. 2. There exists at least a positive integer x such…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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Two taps X and Y are fixed to a water tank. If only X is opened, it drains out the…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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Let x be the smallest positive integer such that when 14 divides x, the remainder is 7; and when 15…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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What is the number of digits in 7²⁵, 8²³ and 9²⁰ respectively? [Given log₁₀ 2 = 0·301, log₁₀ 3 =…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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What is the square root of 16 + 6√7 ?
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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Given y is inversely proportional to √x, and x = 36 when y = 36. What is the value of…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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A person carries ₹500 and wants to buy apples and oranges out of it. If the cost of one apple…
CDS Elementary Mathematics 2019
CDS 2019
Mathematics
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Radha and Rani are sisters. Five years back, the age of Radha was three times that of Rani, but one…
CDS Elementary Mathematics 2019
CDS 2019