Replace * by the smallest number, so that the number 3*8 is divisible by (i) 3 (ii) 9. Find the numbers also.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

(i) Here, Sum of the known digits of 3*8 = 3 + 8 = 11

Now, the number next to 11, which is divisible by 3 is 12.

Thus, if we replace the * by 1, the sum of digits will become 12 and the number becomes divisible by 3.

Hence, * is replace by 1 and the number is 318.

(ii) Here, Sum of the known digits of 3*8 = 3 + 8 = 11

Now, the number next to 11, which is divisible by 9 is 18.

Thus, if we replace the * by 7, the sum of digits will become 18 and the number becomes divisible by 9.

Hence, * is replace by 7 and the number is 378.

Answered by  | 4th Jun, 2014, 03:23: PM