List of top Questions asked in JEE Main- 2025

The sum of the cubes of all the roots of the equation x⁴ – 3x³ –2x² + 3x +1 = 0 is

N>40000, where N is divisible by 5. How many such 5 digit numbers can be formed using 0,1,3,5,7,9 without repetition.

Let $A$ be the area of the region
$\left\{(x, y): y \geq x^2, y \geq(1-x)^2, y \leq 2 x(1-x)\right\}$. 
Then $540 A$ is equal to ______.