Which of the following numbers is exactly divisible by each of 4, 6, 9 and 10?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1260
A number divisible by each of several numbers must be a multiple of their LCM.
LCM of 4, 6, 9, 10 \(=2^{2}\times3^{2}\times5=180\)
\(1260=180\times7\), a multiple of 180
So 1260 is divisible by each of them.
Why the other options are incorrect
Option (1) 1530 — Incorrect. 1530 is not divisible by 4.
Option (2) 1350 — Incorrect. 1350 is not divisible by 4.
Option (4) 1140 — Incorrect. 1140 is not divisible by 9.