Question

 If HCF and LCM of two numbers is 7 and 105 respectively. If one of the numbers lies between 30 and 45 then the other number is : 
1. 35
2. 11
3. 21
4. 46

Answer 1

Correct Answer - Option 3 : 21

Given:

If HCF and LCM of two numbers is 7 and 105 respectively. If one of the numbers lies between 30 and 45 

Concept used:

LCM and HCF

Calculation:

Product of numbers 

⇒ 7 × 105 = 7 × 7 × 5 × 3

⇒ (7 × 5) × (7 × 3)

⇒ 35 × 21

As per the question one of the number lies between 30 and 45

So, the other number is 21.