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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


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 8th Jan, 2024

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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