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Which digits should come in place * and $, respectively, if the number 72864*$ is divisible by both 8 and 5?
Question

Which digits should come in place * and $, respectively, if the number 72864*$ is divisible by both 8 and 5?

A.

4 and 0

B.

2 and 0

C.

2 and 5

D.

4 and 5

Correct option is A

Given:

Number: 72864*$
Condition: The number is divisible by both 8 and 5.

Concept Used:
For a number to be divisible by 5, its last digit must be either 0 or 5.
For a number to be divisible by 8, its last three digits must be divisible by 8.

Solution:
For divisibility by 5, the digit "$" must be 0, as the number ends with $.
So, the number becomes 72864*0.

Now, for divisibility by 8, the last three digits "4*0" must be divisible by 8.
If * = 4, the last three digits are 440.

The number becomes 7286440.
The last three digits, 440, are divisible by 8, and the last digit is 0, making it divisible by 5.

Thus, the correct digits in place of * and $ are 4 and 0, respectively

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