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Question
20 × 3 is a multiple of 3 if the digit × is ______ or ______ or ______.
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Solution
20 × 3 is a multiple of 3 if the digit × is 1 or 4 or 7.
Explanation:
We know that, if a number is a multiple of 3, then the sum of its digits is again a multiple of 3, i.e. 2 + 0 + x + 3 is a multiple of 3.
x + 5 = 0, 3, 6, 9, 12, 15 But, x is a digit of the number 20 × 3.
x can take values 0, 1, 2, 3, ........ 9.
⇒ x + 5 = 6 or 9 or 12
Hence, x = 1 or 4 or 7
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