Test the divisibility of each of the following numbers by 9:
(i) 327
(ii) 7524
(iii) 32022
(iv) 64302
(v) 89361
(vi) 14799
(vii) 66888
(viii) 30006
(ix) 33333
(i) 327
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 12, which is not divisible by 9.
Hence, 327 is not divisible by 9.
(ii) 7524
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 18, which is divisible by 9.
Hence, 7524 is divisible by 9.
(iii) 32022
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 9, which is divisible by 9.
Hence, 32022 is divisible by 9.
(iv) 64302
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 15, which is not divisible by 9.
Hence, 64302 is not divisible by 9.
(v) 89361
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 27, which is divisible by 9.
Hence, 89361 is divisible by 9.
(vi) 14799
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 30, which is not divisible by 9.
Hence, 14799 is not divisible by 9.
(vii) 66888
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 36, which is divisible by 9.
Hence, 66888 is divisible by 9.
(viii) 30006
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 9, which is divisible by 9.
Hence, 30006 is divisible by 9.
(ix) 33333
We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.
Here, sum of digits is 15, which is not divisible by 9.
Hence, 33333 is not divisible by 9.