Multiple choice

The HCF of two numbers is 15 and their LCM is 20 times of the HCF. If one of the number is 4 times of the number 5 less than the quotient obtained on dividing LCM by HCF, the other number is

  1. 50

  2. 75

  3. 65

  4. 100

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

HCF = 15, LCM = 20 × 15 = 300. Quotient of LCM/HCF = 300/15 = 20. First number = 4 × (20 - 5) = 4 × 15 = 60. For any two numbers, Product = HCF × LCM. So 60 × other = 15 × 300 = 4500. Therefore other = 4500/60 = 75.