Multiple choice

Let k = 231mn05. If k is divisible by 3, then which of the following numbers cannot be the possible value of (m + n)?

  1. 1

  2. 5

  3. 4

  4. 7

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If k is divisible by 3, then the sum of the digits must be divisible by 3. Here, k = 231mn05. Therefore, 2 + 3 + 1 + (m + n) + 0 + 5 = L (say). Putting the value of (m + n) = 1, we get L = 16, which is not divisible by 3. Hence, for (m + n) = 5, k will not be divisible by 3.

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