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## A cuboidal, block of 6 cm X 9 cm X 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be ?

**A. 24**B. 13

C. 30

D. 76## What is the volume of a cube (in cubic cm) whose diagonal measures 4√3 cm?

A. 34

B. 23**C. 64**D. 98## Edges of a cuboid are in the ratio 1 : 2 : 3 and its sunface area is 88 cm2. The volume of the cuboid is ?

**A. 48 cm**B. 120 cm^{3}^{3}

C. 24 cm^{3}

D. 64 cm^{3}## A boat having a length 3 m and breadth 2 m is floating on a lake The boat sinks by 1 cm when a man gets on it. The mass of man is ?

A. 72 kg

B. 96 kg

C. 12 kg**D. 60 kg**## Capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base?

A. 2.8 m

B. 14 m

C. 1.4 m**D. None of them**## Radius of the cylinder is half its height and area of the inner part is 616 sq. cms. Approximately how many litres of milk can it contain?

A. 1.7

B. 1.9**C. 1.5**D. 1.4## x is 20% more than z and y is 80% more than z. Find x:y ?

**A. 2:3**B. 1:3

C. 1:4

D. 3:4x = z+(20/100)z = 1.2z y = 1.8z x:y = 1.2z:1.8z = 12:18 = 2:3

## A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount ?

A. Rs.340

B. Rs.780

C. Rs.100**D. Rs.1600**## Two kinds of rice, 1st costs Rs.13 per kg and 2nd costs Rs.19 per kg are mixed together. Find the ratio in which the 2 types are mixed so that the mixture costs Rs.14.2 per kg ?

A. 3:4

B. 4:3**C. 4:1**D. 3:1Therefore, 13x + 19(1-x) = 14.2

13x -19x + 19 = 14.2

4.8 = 6x

x = 0.8 ; (1-x) = 0.2

Therefore, the ratio is 0.8 : 0.2 = 4:1## X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z ?

**A. 5:14**B. 5:7

C. 32:35

D. 67:56X:Z=(X:Y)*(Y:Z) =(5:8)*(4:7) = (5/8)*(4/7) = 5/14