Multiple choice

he HCF of two numbers is 12 and their LCM is 240. If one number is 60, what is the other number? Options: (a) 36 (b) 48 (c) 72 (d) 80 (e) 96

  1. B

  2. A

  3. D

  4. E

  5. C

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

HCF * LCM = Product of two numbers. 12 * 240 = 60 * x. x = (12 * 240) / 60 = 12 * 4 = 48.

AI explanation

Using the fundamental relation that the product of two numbers equals the product of their highest common factor and least common multiple, we write 60 multiplied by the unknown number equals 12 multiplied by 240. Simplifying the right side gives 2880, and dividing 2880 by 60 yields the other number. The other number is 48.