IPMAT Indore (MCQ) PYQs

The remainder when $(29^{29})^{29}$ is divided by $9$ is

The remainder when $1! + 2! + 3! + ... + 95!$ is divided by $15$ is

If the polynomial $ax^2 + bx + 5$ leaves a remainder $3$ when divided by $x - 1$, and a remainder $2$ when divided by $x + 1$, then $2b - 4a$ equals