IPMAT Indore (MCQ) PYQs

A polynomial $P(x)$ leaves a remainder $2$ when divided by $(x - 1)$ and a remainder $1$ when divided by $(x - 2)$ The remainder when $P(x)$ is divided by $(x - 1)(x - 2)$ is

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

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