Question Library
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Mathematics
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A solid right cylinder is of height π cm. If its lateral surface area is half its total surface area,…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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A semi-circular plate is rolled up to form a conical surface. The angle between the generator and the axis of…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The lateral surface area of a cone is 462 cm². Its slant height is 35 cm. The radius of the…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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There is a path of width 5 m around a circular plot of land whose area is 144π m². The…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The sides of a triangle are 5 cm, 6 cm and 7 cm. The area of the triangle is approximately
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Let S be the parallelogram obtained by joining the mid-points of the parallelogram T.Consider the following statements: 1. The ratio…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Walls (excluding roofs and floors) of 5 identical rooms having length, breadth and height 6 m, 4 m and 2.5…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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A circle is inscribed in an equilateral triangle of side of length l. The area of any square inscribed in…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If base and hypotenuse of a right triangle are (u² – v²) and (u² + v²) respectively and the area…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If cot θ (1 + sin θ) = 4m and cot θ (1 – sin θ) = 4n, then which…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If 3 sin θ + 5 cos θ = 4, then what is the value of (3 cos θ –…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If sin² x + sin x = 1, then what is the value ofcos¹² x + 3 cos¹⁰ x +…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Consider the following statements : 1. cos θ + sec θ can never be equal to 1·5. 2. sec² θ…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Consider the following statements : 1. cos² θ = 1 – (p² + q²) / (2pq), where p, q are…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Consider the following statements : 1. If (cos θ / (1 – sin θ)) + (cos θ / (1 +…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Let sin (A + B) = √3/2 and cos B = √3/2, where A, B are acute angles. What is…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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On the top of a hemispherical dome of radius r, there stands a flag of height h. From a point…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If 0 < θ < 90°, 0 < ϕ < 90° and cos θ < cos ϕ, then which one…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If cos θ = 1/√5, where 0 < θ < π/2, then2 tan θ / (1 – tan²θ) is equal…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Consider the following statements :Statement I :Median can be computed even when the end intervals of a frequency distribution are…
CDS Elementary Mathematics 2018
CDS 2018