JIPMAT 2021 (QA) PYQs

If $x^3 + y^3 = 468$ and $x + y = 12$, then value of $x^4 + y^4$ will be

Which of the following is the value of $m$ for which the polynomial $x^4 + 10x^3 + 25x^2 + 15x + m$ is exactly divisible by $x+7$?

The value of $\frac{325 \times 325 \times 325+175 \times 175 \times 175}{325 \times 325-325 \times 175+175 \times 175}$ is