Question

if number 625329158* is a completely divisible by 6, then find the value of *

Answer 1

Answer:

* = 4

Step-by-step explanation:

625329158* should be divisible by 6. So , it should be completely divisible by both 2 & 3. For 625329158* to be divisible by 2 , last no. should be an even no. For 625329158* to be divisible by 3 , the sum of its digits should be divisible by 3.

6+2+5+3+2+9+1+5+8 + * should be divisible by 3.

41 + * should be divisible by 3.

Nearest multiple of 3 is 42 , which we will get on adding 1 i. e * = 1. But * needs to be even. So , this value of * is rejected.

Next closest multiple of 3 is 45. We will get the sum of digits equal to 45 when we add 4 i.e * = 4. Hence , this value is valid.

Therefore * = 4 is our answer.