Mensuration

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Mensuration

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1) The ratio of the radii of two right circular cylinders is 1 : 2 and the ratio of their heights is 4 : 1. The ratio of their volumes is

2 points

(a) 1 : 1

(b) 1 : 2

(d) 4 : 1.

Clear selection

2) The base radius and height of a right circular cylinder are 5 cm and 10 cm. Its total surface area is

2 points

(a) 150π cm²

(b) 300π cm²

(d) 300 cm²

Clear selection

3) The volume of a room is 80 m³. The area of the floor is 20 m². The height of the room is

2 points

(a) 1 m

(b) 2 m

(d) 4 m.

Clear selection

4)The area of a rhombus whose diagonals are of lengths 5 cm and 9.2 cm is:

2 points

(a) 31 cm2

(b) 46 cm2

(d) 92cm2

Clear selection

5) The area of a rectangle of length a and breadth b is

2 points

(a) a + b

(b) ab

(d) 2ab.

Clear selection

(6) The heights of two right circular cylinders are the same. Their volumes are respectively 25π m³ and 81π m³. The ratio of their base radii is

2 points

(a) 25: 81

(b) 5 : 9

(d) 9 : 4.

Clear selection

7) 8 persons can stay in a cubical room. Each person requires 27 m³ of air. The side of the cube is

2 points

(a) 6 m

(b) 4 m

(d) 2 m.

Clear selection

8) The area of a rhombus is 60 cm². One diagonal is 10 cm. The other diagonal is

2 points

(a) 10 cm

(b) 5 cm

(d) 600 cm

Clear selection

(9) The area of a square of side a is

2 points

(a)a

(b) a²

(d) 4a.

Clear selection

10) The area of a trapezium is 480 cm2, the distance between two parallel sides is 15 cm and one of the parallel side is 20 cm. The other parallel side is:

2 points

(a) 20 cm

(b) 34 cm

(d) 50 cm

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