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Question
If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is ______.
Options
an odd multiple of 3
odd multiple of 6
even multiple of 3
even multiple of 9
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Solution
If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is an odd multiple of 3.
Explanation:
We have, x + y + z = 6 and z is an odd digit.
Since, sum of the digits is divisible by 3, it will also be divisible by 2 and 3 but unit digit is odd, so it is divisible by 3 only.
Hence, the number is an odd multiple of 3.
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