1. If the length of a rectangle is increased by 10% and its breadth is decreased by 10%, then its area?
(a) Decreases by 1% (b) increases by 1%
(c) decreases by 2% (d) remains unchanged
2. Three spherical balls of radii 1cm, 2cm and 3cm are melted to form a single spherical ball. In the process, the loss of material is 25%. The radius of the new ball is:(a) 6cm (b) 5cm
(c) 3cm (d) 2cm
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?
(a) 17:16 (b) 15:14
(c) 9:8 (d) 8:7
4. The ratio of the area of a sector of a circle to the area of a circle is 1:4. If the area of the circle is 154cm squared, the perimeter of the sector is:
(a) 20cm (b) 25cm
(c) 36cm (d) 40cm
5. The sum of the areas of the 10 squares, the lengths of whose sides are 20cm, 21cm …. 29cm respectively is:
(a) 6085 units (b) 8555 units
(c) 2470 units (d) 11025 units
6. The sides of a right angled triangle forming right angle are in the ratio 5:12. If the area of the triangle is 270 cm squared, then the length of the hypotenuse is:
(a) 39cm (b) 42cm
(c) 45cm (d) 51cm
7. If the measures of the diagonal and the area of a rectangle are 25cm and 168cm squared respectively, what is the length of the rectangle?
(a) 31cm (b) 24cm
(c) 17cm (d) 7cm
8. The number of coins, each of radius 0.75cm and thickness 0.2cm, to be melted to make a right cylinder of height 8cm and radius 3cm is:
(a) 640 (b) 600
(c) 500 (d) 480
9. A right circular cylinder is circumscribing a hemisphere such that their bases are common. The ratio of their volumes is:
(a) 1:3 (b) 1:2
(c) 2:3 (d) 3:4
10. If a circle and a semi circle have the same radius of 14cm, then the ratio of their perimeters is:
(a) 3:1 (b) 2:1
(c) 10:9 (d) 11:9
Answers:
1 a 2 c 3 b 4 b 5 a
6 a 7 b 8 a 9 c 10 d
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