Questions : '$a$' divides 228 leaving a remainder 18. The biggest two-digit value of '$a$' is:
Option 1: 70
Option 2: 21
Option 3: 35
Option 4: 30
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Correct Answer: 70
Solution :
Given:
Number = 228, divisor = $a$, and remainder = 18
Subtract 18 from 228 = 210
Factors of 210 = 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210
$\therefore$ The biggest two-digit value of $a$ will be 70.
Hence, the correct answer is 70.
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