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If x = a cosθ and y = b cotθ, then (ax⁻¹ – by⁻¹)(ax⁻¹ + by⁻¹) is equal to
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Consider the following statements: 1. (1 + tan²θ)/(1 + cot²θ) = (1 – tanθ / 1 – cotθ)² is true…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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20% of a number when added to 20 becomes the number itself, then the number is
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Which one of the following is correct?
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The sum of first 47 terms of the series 1/4 + 1/5 – 1/6 + 1/4 + 1/5 – 1/6…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Three athletes run a 4 km race. Their speeds are in the ratio 16 : 15 : 11. When the…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Two trains, one is of 121 m in length at the speed of 40 km/hour and the other is of…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If a : b = 3 : 5 and b : c = 7 : 8, then 2a : 3b…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If m persons can paint a house in d days, how many days will it take for (m + 2)…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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By increasing the speed of his car by 15 km/hour, a person covers 300 km distance by taking an hour…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If 4 men working 4 hours per day for 4 days complete 4 units of work, then how many units…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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A motor boat, whose speed is 15 km/hour in still water goes 30 km downstream and comes back in a…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If the roots of the quadratic equation x² – 4x – log₁₀N = 0 are all real, then the minimum…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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In a race A, B and C take part. A beats B by 30 m, B beats C by 20…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Let x and y be positive integers such that x > y. The expressions 3x + 2y and 2x +…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Let x and y be positive integers such that x is prime and y is composite. Which of the following…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The number of pairs (x, y) where x, y are integers satisfying the equation 21x + 48y = 5 is
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If k = x – y + 2z where -2 ≤ x ≤ 1, -1 ≤ y ≤ 2 and…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The value of a single discount on some amount which is equivalent to a series of discounts of 10%, 20%…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Which one of the following is correct?
CDS Elementary Mathematics 2015
CDS 2015