MEDIUM
UPSC CDS
IMPORTANT
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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 the cone is:
(a)
(b)
(c)
(d)

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Important Questions on UPSC CDS (II) Previous Year Paper 2018
EASY
UPSC CDS
IMPORTANT
A solid right cylinder is of height . If its lateral surface area is half its total surface area, then the radius of its base is:

MEDIUM
UPSC CDS
IMPORTANT
A rectangular block of length , breadth and height is cut up into exact number of equal cubes. The least possible number of cubes will be:

EASY
UPSC CDS
IMPORTANT
If the diagonal of a cube is of length, then the total surface area of the cube is______.

EASY
UPSC CDS
IMPORTANT
An equilateral triangle, a square and a circle have equal perimeters.If denote the area of the triangle, area of the square and area of the circle respectively then which of the following is correct?

EASY
UPSC CDS
IMPORTANT
The areas of two similar triangles are respectively. The ratio of their corresponding sides is_____.

EASY
UPSC CDS
IMPORTANT
The chord of a circle is times its radius. The angle subtended by this chord at the minor arc is times the angle subtended at the major arc. What is the value of ?

EASY
UPSC CDS
IMPORTANT
In a triangle , the sides , are produced and the bisectors of exterior angles of and intersect at . If , then is equal to_____.

EASY
UPSC CDS
IMPORTANT
Two cones have their heights in the ratio and the radii of their bases in the ratio, then the ratio of their volumes will be _____.
