Using divisibility tests, which of the following are divisible by 9? (a) 672 (b) 5652
Only (b) 5652
Divisibility rule for 9: Add all the digits. If the sum is a multiple of 9, the number is divisible by 9.
(a) 672
\(6 + 7 = 13\)
\(13 + 2 = 15\)
\(15\) is not a multiple of \(9\)
\(15 \neq 9,\ 18,\ 27,\ldots\)
Conclusion: \(672\) is not divisible by \(9\).
(b) 5652
\(5 + 6 = 11\)
\(11 + 5 = 16\)
\(16 + 2 = 18\)
\(18\) is a multiple of \(9\)
\(18 = 9 \times 2\)
Conclusion: \(5652\) is divisible by \(9\).
Final answer: Only (b) 5652.