1000+ HCL Aptitude Questions and Answers Pdf - 1

Question: 1

Find the volume of the largest right circular cone that can be cut out from a cube whose edge is 9 cm.

(A) 170.93 cm³

(B) 180.93 cm³

(D) 190.93 cm³

View Answer

Ans: D

Volume of the largest cone

= volume of the cone with diameter of base 9 cm and height 9 cm

= $$({1/3} × {22/7} × 4.5 × 4.5 × 9)$$cm³ = $${1336.5}/{7}$$cm³ = 190.93 cm³

Question: 2

A rectangular water tank is 8 m high, 6 m long and 2.5 m wide. How many litres of water can it hold?

(A) 120 litres

(B) 1200 litres

(D) 1200000 litres

View Answer

Ans: C

Volume of the tank

= (8 × 100 × 6 × 100 × 2.5 × 100)cm³ = 120000000 cm³

= $$({120000000} / {1000})$$litres = 120000 litres.

Question: 3

Half cubic metre of gold sheet is extended by hammering so as to cover an area of 1 hectare. The thickness of the sheet is

(A) 0.5 cm

(B) 0.05 cm

(D) 0.0005 cm

View Answer

Ans: C

Volume of gold = $$({1/2} × 100 × 100 × 100)$$cm³.

Area of sheet = 10000 m² = (10000 × 100 × 100)cm².

∴ Thickness of the sheet

= $$({1 × 100 × 100 × 100}/{2 × 10000 × 100 × 100} )$$ cm = 0.005 cm.

Question: 4

A rectangular water tank is 80 m × 40 m. Water flows into it through a pipe 40 sq.cm at the opening at a speed of 10 km/hr. by how much, the water level will rise in the tank in half an hour?

(A) $${2}/{2}$$ cm

(B) $${3}/{2}$$ cm

(D) $${5}/{8}$$ cm

View Answer

Ans: D

Length of water column flown in 1 min.

= $$({10 × 1000} / {60})$$m = $${500} / {3}$$m.

Volume flown per minute = $$({500 /3} × {40}/{100 × 100})$$m³ = $${2}/{3}$$m³.

Volume flown in half an hour = $$({2}/{3} × 30)$$m² = 20 m³

∴ Rise in water level = $$({20} / {40 × 80})$$m = $$({1}/{160} × 100)$$ cm = $${5}/{8}$$ cm.

Question: 5

1 litre is equal to

(A) 1 cu.cm

(B) 10 cu.cm

(D) 1000 cu.cm

View Answer

Ans: D

1000 cu.cm

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1000+ HCL Aptitude Questions and Answers Pdf - 1

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