Which of the following numbers is exactly divisible by each of 3, 7, 5 and 6?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1050
A number divisible by each of several numbers is a multiple of their LCM.
LCM of 3, 7, 5 and 6 \(=2\times3\times5\times7=210\)
\(1050=210\times5\)
1050 is divisible by each of 3, 7, 5 and 6.
Why the other options are incorrect
Option (1) 1670 — Incorrect. Its digit sum is 14, so it is not divisible by 3.
Option (2) 3417 — Incorrect. It is odd, so it is not divisible by 6 (and it does not end in 0 or 5).
Option (4) 1223 — Incorrect. Its digit sum is 8, so it is not divisible by 3.