‘a’ divides 228 leaving a remainder 18. The biggest two-digit value of ‘ \(a\) ‘ is
(a) 30
(b) 70
(c) 21
(d) 35
‘a’ divides 228 leaving a remainder 18. The biggest two-digit value of ‘a’ is (a) 30 (b) 70 (c) 21 (d) 35
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‘a’ divides 228 leaving a remainder 18. The biggest two-digit value of ‘ \(a\) ‘ is
(a) 30
(b) 70
(c) 21
(d) 35
Given that ‘a’ divides 228 leaving a remainder of 18, we first calculate the value that ‘a’ divides exactly:
\[
228 – 18 = 210
\]
The question asks for the largest two-digit value of ‘a’. This means we are looking for the largest two-digit number that divides 210 without leaving a remainder.
Upon considering the mistake in the initial explanation, the largest two-digit divisor of 210 is indeed found to be 70. This is because 210 divided by 70 equals 3, without leaving any remainder, making 70 the largest two-digit number that fits the criteria.
Thus, the correct answer is (b) 70.