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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