Question : If 86y5 is exactly divisible by 3, then the least value of y is:
Option 1: 3
Option 2: 0
Option 3: 1
Option 4: 2
Correct Answer: 2
Solution :
The divisibility rule of 3 states that a number is divisible by 3 if the sum of its digits is also divisible by 3.
For the number 86y5 to be divisible by 3, the sum of its digits (8 + 6 + y + 5) must be divisible by 3. The sum of the digits without y is 19.
The least value of y that makes the sum divisible by 3 is 2 because 19 + 2 = 21, and 21 is divisible by 3.
Hence, the correct answer is 2.
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