Question

How many different values can x take if the number 2506x8 is
divisible by 8?​

Answer 1

Step-by-step explanation:

For a number to be divisible by 8, its last 3 digits should be divisible by 8. In this case, 6x8 should be divisible by 8.

When we substitute x with digits from 0 to 9, we get 608, 618, 628... till 698. Now, 608 is divisible by 8. Also 648 and 688 are divisible by 8. No other number other than these 3 is divisible by 8. So x can take 3 different values- 0, 4 and 8.

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Answer 2

Answer:

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Step-by-step explanation:

For a number to be divisible by 8, its last 3 digits should be divisible by 8. In this case, 6x8 should be divisible by 8.

When we substitute x with digits from 0 to 9, we get 608, 618, 628... till 698. Now, 608 is divisible by 8. Also 648 and 688 are divisible by 8. No other number other than these 3 is divisible by 8. So x can take 3 different values- 0, 4 and 8.