Question

Find the difference between squares of the greatest value and the smallest value of P if the number 5306P2 is divisible by 3.
1. 6
2. 36
3. 60
4. 68

Answer 1

Correct Answer - Option 3 : 60

Given:

Number = 5306P2

Concept:

Divisibility test of 3 = Number should be divisible by 3 when sum of digits of number should be divisible by 3.

Calculation:

Number = 5306P2

Sum of terms = (5 + 3 + 0 + 6 + P + 2) = 16 + P

Smallest value of P should be divisible by 3 = 16 + 2 = 18

Greatest value of P should be divisible by 3 = 16 + 8 = 24

∴ Required difference = 8² - 2² = 60