# ICICI Bank PO Aptitude Test Papers with Answers Pdf - 1

Question: 1

If the surface area of a cube is 13254 cm^{2}, then the length of its diagonal is

(A) $$44√3$$ cm

(B) $$46√3$$ cm

(C) $$47√3$$ cm

(D) $$49√3$$ cm

Ans: C

6a^{2} = 13254 ⇒ a^{2} = 2209 ⇒ a = $$√2209$$ = 47.

∴ Length of diagonal = $$√3$$a = 47$$√3$$ cm.

Question: 2

A well has to be dug out that is to be 22.5 m deep and of diameter 7 m. Find the cost of plastering the inner curved surface at Rs.3 per sq.meter.

(A) Rs.1465

(B) Rs.1485

(C) Rs.1495

(D) Rs.1565

Ans: B

Curved surface area = 2Πrh = $$(2 × {22/7} × {7/2} × 22.5)$$m^{2}
= 495 m^{2}.

∴ Cost of plastering = Rs.(495 × 3) = Rs.1485.

Question: 3

A hollow spherical metallic ball has an external diameter 6 cm and is $${1}/{2}$$ cm thick. The volume of metal used in the ball is

(A) $$37{2}/{3}$$ cm^{3}

(B) $$40{2}/{3}$$ cm^{3}

(C) $$47{2}/{3}$$ cm^{3}

(D) $$49{2}/{3}$$ cm^{3}

Ans: C

External radius = 3 cm

Internal radius = (3 - 0.5) cm = 2.5 cm.

Volume of the metal = [$${4/3} × {22/7} × (3)^3 - (2.5)^3)$$]cm^{3}

= $$({4/3} ×{22/7} × {91/8})$$ cm^{3}

= $$({143} / {3})$$cm^{3} = $$47{2}/{3}$$cm^{3}.

Question: 4

A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edges of the third smaller cube

(A) 6 cm

(B) 8 cm

(C) 10 cm

(D) 12 cm

Ans: C

Let Edge of third small cube be x cm

Volume of cube = (edge)^{3}

According to the question, 6^{3} + 8^{3} + x^{3} = 12^{3}

⇒ 216 + 512 + x^{3} = 1728

⇒ x^{3} = 1728 - 728 = 1000

⇒ x = 3$$√$$ 1000 = 10 cm.

Question: 5

The radius of the base and height of a cone are 3 cm and 5 cm respectively whereas the radius of the base and height of a cylinder are 2 cm and 4 cm respectively. The ratio of the volume of cone to that of the cylinder is

(A) 1 : 3

(B) 15 : 8

(C) 15 : 10

(D) 15 : 16

Ans: D

$${Volume of cone} / {Volume of cylinder}$$ = $${{1/3} × Π × (3)^2× 5} / {Π × (2)^2 × 4}$$ = $${45}/{ 48}$$ = $${15}/ {16}$$.

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