1000+ IBPS Bank PO, SO, Clerk Interview Questions and Answers Pdf - 1
Question: 1
The length of an edge of a hollow cube open at one face is $$√3$$ metres. What is the length of the largest pole that it can accommodate?
(A) 3 m
(B) 4 m
(C) 3$$√3$$ m
(D) $$√3$$ m
Ans: A
Required length = Diagonal = $$√3a$$ = ($$√3$$ × $$√3$$)m = 3 m.
Question: 2
A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and breadth of the reservoir is 3.5 m, then the depth of the reservoir will be
(A) 2 m
(B) 3 m
(C) 4 m
(D) 5 m
Ans: A
Volume of the reservoir = 42000 litres = 42 m3.
Let the depth of the reservoir be h metres.
Then, 6 × 3.5 × h = 42 or h = $${42} / {6 × 3.5}$$ = 2 m.
Question: 3
The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is
(A) 5Π
(B) $${4}/{3}$$Π
(C) $${10}/{3}$$Π
(D) $${20}/{3}$$Π
Ans: B
Required volume = Volume of a sphere of radius 1 cm
= $$({4}/{3}Π × 1 × 1 × 1)$$cm3
= $${4}/{3}Π $$cm3.
Question: 4
What is the volume of a cube (in cubic cm) whose diagonal measures 4$$√3$$ cm?
(A) 16
(B) 32
(C) 64
(D) 128
Ans: C
$$√3a$$ = 4$$√3$$ ⇒ a = 4.
∴ Volume = (4 × 4 × 4) cm3 = 64 cm3.
Question: 5
A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is
(A) 48 m2
(B) 49 m2
(C) 50 m2
(D) 53.5 m2
Ans: B
Area of the wet surface = [2(lb + bh + lh) - lb] = 2(bh + lh) + lb
= [2 (4 × 1.25 + 6 × 1.25) + 6 × 4]m2 = 49 m2.
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