Aptitude - Numbers - Discussion

I don't understand that how we get p=1. Because if we consider p=1 then it becomes 9+1+1=11 not 12. Then how can we take the value of p=1.

Its 9 + p + 2 = 12, not 9 + p + 1.

At the start, you will divide 4864 by any factor of 12 and 4 satisfies it.

See it has given that no. Should be divisible by 12

We have 2 factors of 12
2 | 12
2 | 6
3 | 3
x | 1
So, 12 = 2 * 2 * 3,
= 4 * 3.

We can see that there are 2 numbers 4864 and 9P2.

4864 * 9P2 are divisible by 12 it means they should be divisible by 3 and 4 also,
4864 is divisible by 4 because its last 2 digit is divisible by 4.

And if the sum of the no is a factor of 3 then it is divisible by 3 so we can see 9 + p + 2 = 11p.
So, if we put 1 we get 12 which is divisible by 3 so answer is 1.

I think you all got my point

Very thank you @Praveen.

Didn't get it, can explain in a easy trick?

Good explanation, thanks @Praveen.

Understood, Thanks @Praveen.

Thanks to all.

Thanks @Praveen.

Why we don't divide 4864 by 3 and 9p2 by 4?

Please let me know.