Question Library
Browse our collection of questions across various subjects
Mathematics
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In an examination, 50% of the candidates failed in English, 40% failed in Hindi and 15% failed in both the…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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What is the principal amount which earns ₹ 210 as compound interest for the second year at 5% per annum…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If ab + bc + ca = 0, then the value of (b² – ca)(c² – ab) + (a² –…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The remainder when 3x³ – 2x²y – 13xy² + 10y³ is divided by (x – 2y) is equal to
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The sum of all possible products taken two at a time out of the numbers ±1, ±2, ±3, ±4 is
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If H is the harmonic mean of P and Q, then the value of H / (P + Q) is
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The minimum value of the expression 2x² + 5x + 5 is
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The number of sides of two regular polygons are in the ratio 5 : 4. The difference between their interior…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If a = xyᵖ⁻¹, b = yxᑫ⁻¹, c = zxʳ⁻¹, then aᑫ⁻ʳ bʳ⁻ᵖ cᵖ⁻ᑫ is equal to
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The number of all pairs (m, n), where m and n are positive integers, such that1/m + 1/n – 1/mn…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Consider the following statements in respect of three 3-digit numbers XYZ, YZX and ZXY : 1. The sum of the…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If α and β are the roots of the equation ax² + bx + c = 0, then the value…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If aˣ = bʸ = cᶻ and abc = 1, then the value of 1/x + 1/y + 1/z will…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, then the value of log₁₀₀(0.72) is equal to
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The product of two integers p and q, where p > 60 and q > 60, is 7168 and their…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If the sum of the squares of three consecutive natural numbers is 110, then the sum of their cubes is
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If x⁶ + 1/x⁶ = k, x² + 1/x² = ?, then k is equal to
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Two workers ‘A’ and ‘B’ working together completed a job in 5 days. Had ‘A’ worked twice as efficiently as…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If α and β are two real numbers such thatα + β = q/p and αβ = r/p, where 1…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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HCF and LCM of two polynomials are (x + 3) and (x³ – 9x² – x + 105) respectively. If…
CDS Elementary Mathematics 2018
CDS 2018