1.

Test the divisibility of each of the following numbers by 3:(i) 60005 (ii) 67035 (iii) 591282 (iv) 903164 (v) 100002

Answer»

(i) 60005 

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, 60005 is not divisible by 3.

(ii) 67035 

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 21, which is divisible by 3. 

Hence, 67035 is divisible by 3.

(iii) 591282 

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 27, which is divisible by 3. 

Hence, 591282 is divisible by 3.

(iv) 903164 

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 23, which is not divisible by 3. 

Hence, 903164 is not divisible by 3.

(v) 100002 

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 3, which is divisible by 3. 

Hence, 100002 is divisible by 3.



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