Q. 13.7( 3 Votes )
Find all possible values of x for which the 4-digit number 320x is divisible by 3. Also, find the numbers.
Answer :
We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3.
Here,
3 + 2 + 0 + x = multiple of 3
5 + x = 0, 3, 6, 9, 12, 15, ….
Hence,
1) 5 + x = 6
∴ x = 1
2) 5 + x = 9
∴ x = 4
3) 5 + x = 12
∴ x = 7
Hence, possible number 3201, 3204 and 3207.
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