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Q:

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A) 75 cubic meter	B) 750 cubic meter
C) 7500 cubic meter	D) 75000 cubic meter

Answer & Explanation Answer: B) 750 cubic meter

Explanation:

1 hectare = 10,000 Sq.m

So, Area = (1.5 x 10000) Sq.m

Depth = 5/100 m = 1/20 m

Therefore, Volume = Area X Depth = 15000 x (1/20)= 750 cu.m

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Filed Under: Volume and Surface Area

Q:

You deposit $600 into a 6 month certificate of deposit. After 6 months the balance is $618. Find the simple annual interest rate

A) 6%	B) 5%
C) 7%	D) 8%

Answer & Explanation Answer: A) 6%

Explanation:

1. To find the interest, subtract the principal from the balance.

$618 - $600 = $18

2.Use the simple interest formula and solve for r.

I = Prt

18= 600 x r x (1/2)

r= 0.06 =6%

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

Q:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:

A) 20 cm	B) 25 cm
C) 35 cm	D) 50 cm

Answer & Explanation Answer: B) 25 cm

Explanation:

Total volume of water displaced =(4 x 50) cu.m = 200 cu.m

Rise in water level = $(\frac{200}{40 \times 20})$ =0.25m = 25cm

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Q:

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

A) 12 pi cub.cm	B) 15 pi cub.cm
C) 16 pi cub.cm	D) 20 pi cub.cm

Answer & Explanation Answer: A) 12 pi cub.cm

Explanation:

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Q:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m³) is:

A) 4830	B) 5120
C) 6420	D) 8960

Answer & Explanation Answer: B) 5120

Explanation:

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Q:

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is

A) 3.6 kg	B) 3.696 kg
C) 36 kg	D) 36.9 kg

Answer & Explanation Answer: B) 3.696 kg

Explanation:

External radius = 4 cm

Internal radius = 3 cm

Volume of iron = $[\frac{22}{7} \times (4^{2} - 3^{2}) \times 21] c m^{3}$ = $462 c m^{3}$

Weight of iron = (462 x 8)gm = 3696 gm = 3.696 kg

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Q:

A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?