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

Question: 1

If the surface area of a cube is 13254 cm2, 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

6a2 = 13254 ⇒ a2 = 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)\$\$m2 = 495 m2.

∴ 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}\$\$ cm3

(B) \$\$40{2}/{3}\$\$ cm3

(C) \$\$47{2}/{3}\$\$ cm3

(D) \$\$49{2}/{3}\$\$ cm3

Ans: C

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

Volume of the metal = [\$\${4/3} × {22/7} × (3)^3 - (2.5)^3)\$\$]cm3

= \$\$({4/3} ×{22/7} × {91/8})\$\$ cm3

= \$\$({143} / {3})\$\$cm3 = \$\$47{2}/{3}\$\$cm3.

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, 63 + 83 + x3 = 123

⇒ 216 + 512 + x3 = 1728

⇒ x3 = 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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