Find the difference between squares of the greatest value and the smallest value of P if the number ...........

Quantitative Aptitude (CGL) Number System

Find the difference between squares of the greatest value and the smallest value of P if the number 5306P2 is divisible by 3.

This questions was previously asked in

SSC CGL 16th August 2021 Shift-3

- For a number to be divisible by 3, the sum of its digits must also be divisible by 3.

- Digits in 5306P2 sum up as: 5 + 3 + 0 + 6 + P + 2 = 16 + P.

- For 5306P2 to be divisible by 3, 16 + P should be a multiple of 3.

- Possible P values (as digits 0-9): check which P values make 16+P divisible by 3.

- If P = 2 ? 16+2 = 18 (divisible by 3)

- If P = 5 ? 16+5 = 21 (divisible by 3)

- If P = 8 ? 16+8 = 24 (divisible by 3)

- So, the smallest value is 2, greatest is 8.

- Squares: 2² = 4, 8² = 64.

- Difference: 64 - 4 = 60.

- Comparing to options: Option 4 is 60.

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