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SSC: Mensuration: 21.12.2017

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Question 1

Find measure of central angle of the arc whose length is 22 cm and radius of the circle is 28 cm?

Question 2

The length of the diagonal of a rectangle is 26 cm and that of one side is 10 cm. What is the area of this rectangle?

Question 3

If the length of a rectangle is increased in the ratio 6 : 7 and its breadth is diminished in the ratio 5 : 4 then its area will be diminished in the ratio

Question 4

A copper wire is bent in the form of an equilateral triangle and has area 121√3 cm2. If the same wire is bent into the form of a circle, the area (in cm2) enclosed by the wire is (Take )

Question 5

Four pieces, each in the shape of arc of a circle with radius 2 cm are cut out from four corners of a square of side 4 cm. The area of the remaining portion is:

Question 6

If a circular wheel makes 1000 revolution in travelling a distance of 11 km, then the radius of wheel is (take π =22/7)

Question 7

How many balls of radius 10 cm can be made by melting a bigger ball of diameter 80 cm?

Question 8

If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

Question 9

Respective ratio of curved surface area and total surface area of cylinder is 1 : 4 and total surface area of that cylinder is 1232 cm2 then what is its volume?

Question 10

Find the % age increase in volume of the right circular cone if both height and radius are increased by 10%.
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