Find the difference between square of the greatest value and the samllest value of P if the number 5306P2 is divisible by 3.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 60
Given :
5306P2 is divisible by 3
Concept used :
Divisibility rule of 3
Calculations :
5306P2 is divisible by 3 if sum of the digits of 5206P2 is divisible by 3
⇒ 5 + 3 + 0 + 6 + P + 2
⇒ 16 + P
So, minimum value of P can be 2 and 8 as 18 and 24 both are divisible by 3
The difference between square of the greatest value and the samllest value of P
⇒ 82 - 22
⇒ 64 - 4
⇒ 60