Question

If 467x8 is divisible by 7 find the value of x

Answer 1

Answer:

We know that a number is divisible by 6 only when it is divisible by both 2 and 3.

This is the test of divisibility for 6.

To check whether the number is divisible by 2 we always check if the ones place of the given number is odd or even.

If it is even then it is divisible by 2 else it is not.Thus is test of divisibility for 2.

We can see that the ones digit is 8 in the given number.

As it is even the number is divisible by 2.

If the sum of the digits of a number is a multiple of 3 then the number is divisible by 3.

This US the teest of divisibility for 3.

So,4+6+7+x+8=25+x.x should be either 2,5 or 8 for the number to be exactly divisible by 3 and finally divisible by 6.

Therefore 2,5 or 8 can fit in for the value of x.

Step-by-step explanation: