Test the divisibility of each of the following numbers by 3:(i) 83 (i

1.	Test the divisibility of each of the following numbers by 3:(i) 83 (ii) 378 (iii) 474 (iv) 1693
Answer» (i) 83 We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3. Here, sum of digits is 11, which is not divisible by 3. Hence, 83 is not divisible by 3. (ii) 378 We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3. Here, sum of digits is 18, which is divisible by 3. Hence, 378 is divisible by 3. (iii) 474 We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3. Here, sum of digits is 15, which is divisible by 3. Hence, 474 is divisible by 3. (iv) 1693 We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3. Here, sum of digits is 19, which is not divisible by 3. Hence, 1693 is not divisible by 3.

Test the divisibility of each of the following numbers by 3:(i) 83 (ii) 378 (iii) 474 (iv) 1693

Answer»

(i) 83

We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3.

Here, sum of digits is 11, which is not divisible by 3.

Hence, 83 is not divisible by 3.

(ii) 378

We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3.

Here, sum of digits is 18, which is divisible by 3.

Hence, 378 is divisible by 3.

(iii) 474

We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3.

Here, sum of digits is 15, which is divisible by 3.

Hence, 474 is divisible by 3.

(iv) 1693

We know that if sum of digits of a number is divisible by 3, then the number is divisible by 3.

Here, sum of digits is 19, which is not divisible by 3.

Hence, 1693 is not divisible by 3.