1000+ DBS Aptitude Questions and Answers Pdf - 1

Question: 1

A closed aquarium of dimensions 30 cm × 25 cm × 20 cm is made up entirely of glass plates held together with tapes. The total length of tape required to hold the plates together (ignore the overlapping tapes) is

(A) 75 cm

(B) 150 cm

(D) 375 cm

View Answer

Ans: C

Total length of tape required = sum of lengths of edges

= (30 × 4 + 25 × 4 + 20 × 3) cm = 300 cm.

Question: 2

The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is

(A) 10

(B) 11

(D) 20

View Answer

Ans: C

Required length = $${√ (10)^2 + (10)^2 + (5)^2}$$ m

= $$√225$$ m = 15 m.

Question: 3

A rectangular piece of cardboard 18 cm × 24 cm is made into an open box by cutting a square of 5 cm side from each corner and building up the side. Find the volume of the box is cu. cm.

(A) 116

(B) 216

(D) 560

View Answer

Ans: D

Clearly, l = (18 - 10) cm = 8 cm,

b = (24 - 10) cm = 14 cm, h = 5 cm.

∴ Volume of the box = (8 × 14 × 5) cm³ = 560 cm³.

Question: 4

The dimensions of a certain machine are 48 x 30 x 52. If the size of the machine is increased proportionately until the sum of its dimensions equals 156, what will be the increase in the shortest side?

(A) 4

(B) 5

(D) 7

View Answer

Ans: C

Sum of original dimensions = 48 + 30 + 52 = 130.

Increase in sum = 156 – 130 = 26.

Since the dimensions have been increased proportionately,

So increase in shortest side = $$(26 × {30}/{130})$$ = 6.

Question: 5

Total surface area of a cube whose side is 0.5 cm is

(A) $${1}/{4}$$ cm²

(B) $${1}/{8}$$ cm²

(D) $${3}/{4}$$ cm²

View Answer

Ans: C

Surface area = [6 × ($${1/2}$$)²] cm² = $${3}/{2}$$ cm²

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1000+ DBS Aptitude Questions and Answers Pdf - 1

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