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1. ABC is a triangle with base AB. D is a point on AB such that AB = 5 cm and DB = 3 cm. What is the ratio of the area of Δ ADC to the area of Δ ABC?

2/5

2/3

3/2

3/5

2. The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is –

27 : 20

20: 27

9 : 4

4: 9

3. A cubodial water tank has 216 litres of water. Its depth is 1/3 of its length and breadth is 1/2 of 1/3 of the difference of length and depth. The length of the tank is

72 dm

6 dm

2 dm

18 dm

4. By selling an article for ₹ 240, a man incurs a loss of 10%. At what price should he sell it, so that he makes a profit of 20%?

₹ 264

₹ 288

₹ 300

₹ 320

5. If x : y = 3 : 1, then x^{3} - y^{3} : x^{3} + y^{3} = ?

14 : 13

11 : 10

13 : 14

10 : 11