Question : If the number 8764x5 is divisible by 9, then find the least possible value of x where x is a two-digit number.
Option 1: 15
Option 2: 06
Option 3: 14
Option 4: 18
Correct Answer: 15
Solution : Given number: 8764x5 x = 2-digit number By using the divisibility rule of 9 Sum of the digits = 8 + 7 + 6 + 4 + x + 5 = 30 + x is divisible by 9 ⇒ 30 + x = 45 [since (30 + 15) = 45 is divisible by 9] ⇒ x = 15 Hence, the correct answer is 15.
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