Canadian Imperial Bank of Commerce (CIBC) Aptitude Test Questions - 1

Question: 1

The sum of twice a number and three times of 42 is 238. What is the sum of thrice the number and two times of 42?

(A) 242

(B) 252

(C) 262

(D) 272

An: B

Let the number be x.

Then, 2x + 3 × 42 = 238 ⇔ 2x + 126 = 238

⇔ 2x = 112 ⇔ x = 56.

∴ Required sum = 3x + 2 × 42

= 3 × 56 + 2 × 42 = 168 + 84 = 252.

Question: 2

If the sum of a number and its square is 182, what is the number?

(A) 13

(B) 14

(C) 15

(D) 18

Ans: A

Let the number be x.

Then, x + x2 = 182 ⇔ x2 + x - 182 = 0

⇔ (x + 14) (x - 13) = 0 ⇔ x = 13.

Question: 3

A positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is

(A) 3

(B) 5

(C) 7

(D) 12

Ans: C

Let the number be x.

Then, x - 4 = $${21}/{x}$$

⇔ x2 - 4x - 21 = 0

⇔ (x - 7)(x + 3) = 0

⇔ x = 7.

Question: 4

Three numbers are in the ratio 4 : 5 : 6 and their average is 25. The largest number is

(A) 20

(B) 30

(C) 32

(D) 42

Ans: B

Let the numbers be 4x, 5x and 6x.

Then, $${4x + 5x + 6x} / {3}$$ = 25 ⇔ 5x = 25 ⇔ x = 5.

∴ Largest number = 6x = 30.

Question: 5

The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is

(A) 11

(B) 12

(C) 14

(D) 16

Ans: B

Let the numbers be x and (22 - x).

Then, 5x = 6(22 - x)

⇔ 11x = 132 ⇔ x = 12.

So, the numbers are 12 and 10.

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