Question

Find the least value of * for which 5967 * 13 is divisible by 3.​

Answer 1

Answer:

For a number to be divisible by 3, the sum of all the digits of the number should be divisible by 3.

Thus, sum of digits of given number is:

5+9+6+7+*+1+3 = 31+*

The nearest (+) number to 31 to be divisible by 3 is 33

=> 31 + * = 33

=> * = 33-31

=> * = 2