1000+ Royal Bank of Canada Aptitude Test Questions and Anwers - 1

Question: 1

Rahul hired a contractor to dig a well of 10 metres length, 10 metres breadth and 10 metres depth for Rs.40000. However when the contractor was about to start the work, he changed his mind and asked him to get two wells dug, each with a length of 5 metres, breadth of 5 metres and depth of 5 metres. How much should Rahul pay to the contractor?

(A) Rs.10000

(B) Rs.20000

(D) Rs.40000

View Answer

Ans: A

Clearly, payment shall be made in proportion to the volume of earth dug

$${Volume actually dug} / {Volume to be dug as settled}$$

= $${2 × (5 × 5 × 5)} / {10 × 10 × 10}$$ = $${1}/{4}$$.

∴ Payment to be made = $${1}/{4} × 40000$$ = 10000.

Question: 2

The volume of a cube is numerically equal to the sum of its edges. What is its total surface area in square units?

(A) 36

(B) 48

(D) 72

View Answer

Ans: D

a³ = 12a ⇒ a² = 12 ⇒ 6a² = (6 × 12) sq.units. = 72 sq. units.

Question: 3

How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge?

(A) 216

(B) 218

(D) 640

View Answer

Ans: A

Number of cubes = $$({18 × 18 × 18}/{3 × 3 × 3})$$ = 216.

Question: 4

A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out?

(A) 32 m³

(B) 36 m³

(D) 48 m³

View Answer

Ans: C

Volume = πr²h =$$ ({22}/{7} × 1 × 1 × 14)$$ m³ = 44 m³.

Question: 5

66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be

(A) 74

(B) 84

(D) 104

View Answer

Ans: B

Let the length of the wire be h.

Radius =$${1}/{2}$$ mm = $${1}/{20}$$ cm.

Then, $${22/7} × {1/20} × {1/20} × h$$ = 66

⇔ h = $$({66 × 20 × 20 × 7}/{22})$$ = 8400 cm = 84 m.

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1000+ Royal Bank of Canada Aptitude Test Questions and Anwers - 1

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