Question

Replace the * by the smallest digit so that, 1)832* is divisible by 9 . 2)725* is divisible by 4 . 3)81*8 is divisible by 8​

Answer 1

Step-by-step explanation:

1) For the number to be divisible by 9, the sum of their digits should also be divisible by 9.

8 + 3 + 2 + * = 13 + *

For (13 + *) to be divisible by 9, * has to be equal to 5.

∴ * = 5

2) For the number to be divisible by 4, the last 2 digits of the number should also be divisible by 4.

The last two digits of 725* are 5*

For (5*) to be divisible by 4, the smallest possible value of * is 2.

∴ * = 2

3) For the number to be divisible by 8, the last 3 digits of the number should also be divisible by 8.

The last 3 digits of 81*8 are 1*8

For (1*8) to be divisible by 8, the smallest possible value of * is 2.

∴ * = 2