Which of the following numbers is divisible by 3, 7, 9, and 11?

Given data

• Divisors: 3, 7, 9, 11
• Options: 1980, 2310, 2079, 5005

Concept / Approach

• LCM(3, 7, 9, 11) = 9 × 7 × 11 = 693. The number must be a multiple of 693.

Step-by-step checks

693 × 3 = 2079 (candidate)1980: not divisible by 9 (sum of digits 1+9+8+0=18 yes) but 1980 ÷ 11 is not integer2310: divisible by 3 and 7 and 11, but not by 9 (sum 2+3+1+0=6)5005: divisible by 5, 7, 11 but not by 9 (sum 10)

Final Answer

Only 2079 is divisible by all 3, 7, 9, and 11.