Previous Year Questions

To find the digits that should replace * and $, we need to ensure that the number 72864$* is divisible by both 8 and 5.

Step 1: Divisibility by 5

A number is divisible by 5 if its last digit is either 0 or 5.

So, $ must be 0 or 5.

Step 2: Divisibility by 8

A number is divisible by 8 if the number formed by its last three digits is divisible by 8.

The last three digits of the number are 4*$.

· If $ = 5, the number formed is 4*5.

· No single digit number * can make 4*5 divisible by 8

· So only possible value of $ is 0

So the number will be 72864*0

For this to be divisible by 8, 4*0 should be divisible by 8

So smallest number that can be put and it satisfies will be:-

440

So *=4 and $=0

Option (a) is the correct answer.