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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