Question Library
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Mathematics
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If the surface area of a cube is 13254 cm², then the length of its diagonal is
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Three rectangles R₁, R₂ and R₃ have the same area. Their lengths x₁, x₂ and x₃ respectively are such that…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Let V be the volume of an inverted cone with vertex at origin and the axis of the cone is…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The areas of three mutually perpendicular faces of a cuboid are x, y, z. If V is the volume, then…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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A water tank, open at the top, is hemispherical at the bottom and cylindrical above it. The radius is 12…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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ABCD is a square. If the sides AB and CD are increased by 30%, sides BC and AD are increased…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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From a rectangular sheet of sides 18 cm and 14 cm, a semicircular portion with smaller side as diameter is…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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A square is inscribed in a right triangle with legs x and y and has common right angle with the…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Let A denote the set of quadrilaterals having two diagonals equal and bisecting each other. Let B denote the set…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The two adjacent sides of a cyclic quadrilateral are 2 cm and 5 cm and the angle between them is…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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If X is any point within a square ABCD and on AX a square AXYZ is described, which of the…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The diameter of a wheel that makes 452 revolutions to move 2 km and 26 decametre is equal to
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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An equilateral triangle BOC is drawn inside a square ABCD. If angle AOD = 2θ, what is tanθ equal to…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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30 metallic cylinders of same size are melted and cast in the form of cones having the same radius and…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Water is filled in a container in such a manner that its volume doubles every 5 minutes. If it takes…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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From the solid gold in the form of a cube of side length 1 cm, spherical solid balls, each having…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The circumference of a circle is 100 cm. The side of the square inscribed in the circle is
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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A large water tank has the shape of a cube. If 128 m³ of water is pumped out, the water…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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Consider the following statements: 1. If the height of a cylinder is doubled, the area of the curved surface is…
CDS Elementary Mathematics 2015
CDS 2015
Mathematics
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The point O is equidistant from the three sides of a triangle ABC. Consider the following statements: 1. ∠OAC +…
CDS Elementary Mathematics 2015
CDS 2015