# 1000+ Aptitude Questions and Answers for IT Companies - 1

Question: 1

Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are

(A) 4, 8, 12

(B) 5, 10, 15

(C) 12, 24, 36

(D) 10, 20, 30

Ans: C

Given ratio of numbers = 1 : 2 : 3

Their HCF = 12

∴ Numbers are 12, 24 and 36.

Question: 2

Three bells ring together and they will ring at intervals of 6 seconds, 7 seconds and 8 seconds respectively. After what interval will they again ring together?

(A) 164 seconds

(B) 168 seconds

(C) 174 seconds

(D) 178 seconds

Ans: B

Since the bells ring at the intervals of 6 seconds, 7 seconds and 8 seconds, respectively next time, they will ring together after an interval equal to the LCM of 6, 7 and 8 seconds.

∴ The required time = LCM of 6, 7 and 8 seconds = 168 seconds.

Question: 3

The LCM of 22 × 32 × 5 × 11, 24 × 34 × 52 × 7
and 25 × 33 × 52 × 72 × 11 is

(A) 23 × 32 × 5

(B) 25 × 34 × 52

(C) 23 × 32 × 5 × 7 × 11

(D) 25 × 35 × 53 × 72 × 11

Ans: A

LCM of 22 × 32 × 5 × 11, 24 × 34 × 52 × 7 and 25 × 32 × 52 × 72 × 11

= 22 × 32 × 5 = 180.

Question: 4

The HCF and LCM of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is

(A) 77

(B) 88

(C) 99

(D) 110

Ans: A

Given HCF = 11, LCM = 385

385 = 5 × 7 × 11

∴ Number lies between 75 and 125 = 7 × 11 = 77.

Question: 5

The HCF of two numbers is 8. Which one of the following can never be their LCM?

(A) 24

(B) 48

(C) 60

(D) 56

Ans: C

Given HCF of two numbers = 8

LCM is completely divisible by HCF

∴ 24, 48 and 56 are completely divisible by 8, the value which can never be LCM = 60.

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