Question : If a 4-digit number x58y is exactly divisible by 9, then the least value of (x + y) is:
Option 1: 4
Option 2: 5
Option 3: 3
Option 4: 2
Correct Answer: 5
Solution :
A number is divisible by 9 if the sum of its digits is divisible by 9.
Given a 4-digit number x58y, the sum of its digits is x + 5 + 8 + y = (x + y) + 13.
For the number to be divisible by 9, (x + y) + 13 must be divisible by 9.
The smallest possible value for (x + y) that makes (x + y) + 13 divisible by 9 is 5 (since 5 + 13 = 18, and 18 is the multiple of 9).
Hence, the correct answer is 5.
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