Question Library
Browse our collection of questions across various subjects
Mathematics
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A triangle ABC is inscribed in a circle. If sum of the squares of sides of the triangle is equal…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Consider the following statements: 1.There exists no value of x such that 1 / (1 − sin x) = 4…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If sin x + cos x = c, then sin⁶ x + cos⁶ x is equal to
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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From the top of a tower, the angles of depression of two objects P and Q (situated on the ground…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Consider the following statements: 1.There exists at least one value of x between 0 and π/2 which satisfies the equation…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The value of cosec² 67° + sec² 57° − cot² 33° − tan² 23° is
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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ABC is a triangle right-angled at B and AB : BC = 3 : 4. What is sin A +…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Consider the following: 1.(cos A / (1 − tan A)) + (sin A / (1 − cot A)) = sin…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If p = (1 − sin x) / (1 + sin x), q = (1 − sin x) / cos…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If tan A + cot A = 4, then tan⁴ A + cot⁴ A is equal to
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The angle of elevation of a cloud from a point 200 m above a lake is 30°, and the angle…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The angles of elevation of the top of a tower from two points P and Q at distances m² and…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If (3 − tan² A) / (1 − 3 tan² A) = K, where K is a real number, then…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If cos A = tan B, cos B = tan C and cos C = tan A, then sin A…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Consider the following statements: 1.Let D be a point on the side BC of a triangle ABC. If area of…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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ABCD is a parallelogram, where AB : AD = 2 : 1. One of the angles of the parallelogram is…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If the radius of a sphere is increased by l0%, then the volume will be increased by
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If tan (A + B)=√3 and tan A = 1. then tan(A – B) is equal to
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Four equal-sized maximum circular plates are cut off from a square paper sheet of area 784 square cm. The circumference…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If a star figure is formed by elongating the sides of a regular pentagon, then the measure of each angle…
CDS Elementary Mathematics 2015
CDS 2015