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
External radius = 3 cm
Internal radius = (3 - 0.5) cm = 2.5 cm.
Volume of the metal = [$${4/3} × {22/7} × (3)^3 - (2.5)^3)$$]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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