Question

The greatest number of 3 digits that is exactly divisible by each 10, 12, 15 and 20 is:
1. 996
2. 999
3. 900
4. 960

Answer 1

Correct Answer - Option 4 : 960

Given:

The number is 10, 12, 15 and 20

Concept used:

The greatest number of 3 digits is 999.

Calculation:

LCM of 10, 12, 15 and 20

10 = 2 × 5

12 = 2² × 3

15 = 3 × 5

20 = 2² × 5

LCM = 2² × 3 × 5 = 60

The greatest number of 3 digits = 999

⇒ 999 ÷ 60

⇒ Remainder = 39

⇒ 3 digit greatest numbers = 999 - 39 = 960

∴ The greatest number of 3 digits is 960.