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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