A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

(a)

3:1:2

(b)

3:2:1

(c)

1:2:3

(d)

1:3:2

A solid is hemispherical at the bottom and conical above. If the curved surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is ___________

(a)

1:3

(b)

\(1:\sqrt { 3 } \)

(c)

1:1

(d)

\(\sqrt { 3 } :1\)

The curved surface area of a cylinder is 264 cm² and its volume is 924 cm². The ratio of diameter to its height is ___________

(a)

3:7

(b)

7:3

(c)

6:7

(d)

7:6

A floating boat having a length 3m and breadth 2m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is (density of water is 10000 kg/m³)

(a)

50 kg

(b)

60 kg

(c)

70 kg

(d)

80 kg

If a letter is chosen at random from the English alphabets {a, b....,z}, then the probability that the letter chosen precedes x ____________

(a)

\(\frac { 12 }{ 13 } \)

(b)

\(\frac { 1 }{ 13 } \)

(c)

\(\frac { 23 }{ 26 } \)

(d)

\(\frac { 3 }{ 26 } \)