IPMAT Indore (MCQ) PYQs

If $m$ is a positive integer then the values of $k$ for which $6m + k$ cannot be a perfect square are

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