1000+ L&T Infotech Aptitude Questions and Answers Pdf - 1
Question: 1
The volume of cuboid is twice that of a cube. If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is
(A) 72 cm2
(B) 216 cm2
(C) 432 cm2
(D) 632 cm2
Ans: B
Volume of the cuboid = (9 × 8 × 6) cm3 = 432 cm3.
Volume of the cube = $$({1}/{2} × 432)$$ cm3 = 216 cm3.
Question: 2
A cube of edges 20 cm is completely immersed in a rectangular vessel containing water. If the dimensions of the base of the vessel are 20 cm by 40 cm, the rise in water level will be
(A) 2 cm
(B) 6 cm
(C) 8 cm
(D) 10 cm
Ans: D
Volume increased = (20)3 cm3 = 8000 cm3.
∴ Rise in water level = $$({8000} / {20 × 40})$$ cm = 10 cm.
Question: 3
What part of a ditch, 48 metres long, 16.5 metres broad and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 metres and length 56 metres?
(A) $${1}/{9}$$
(B) $${2}/{9}$$
(C) $${7}/{9}$$
(D) $${8}/{9}$$
Ans: B
Volume of earth dug = $$({22}/{7} × 2 × 2 × 56)$$ m3 = 704 m3
Volume of ditch = (48 × 16.5 × 4) m3 = 3168 m3.
∴ Required fraction = $${704}/{3168}$$ = $${2}/{9}$$.
Question: 4
If the volume and surface area of a sphere are numerically the same, then its radius is
(A) 1 units
(B) 2 units
(C) 3 units
(D) 4 units
Ans: C
$${4}/{3}$$Π r3 = 4Πr2 ⇒ r = 3.Question: 5
Water is flowing at the rate of 5 km/hr through a cylindrical pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Determine the time in which the level of water in the tank will rise by 7 cm.
(A) 1 hour
(B) 2 hours
(C) 3 hours
(D) 4 hours
Ans: B
Volume of water flown into the tank = (50 × 44 × 0.07)m3 = 154 m3.
Volume of water flowing through the pipe in 1 hour = $$({22/7} × 0.07 × 0.07 × 5000)$$ m3 = 77 m3.
∴ Required time = $$({154}/{77})$$ = 2 hrs.
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