IPMAT Indore 2025 (SA) PYQs

The inequality $\log_{2} \frac{3x - 1}{2 - x} < 1$ holds true for

If $4^{\log_2{x}} - 4x + 9^{\log_3{y}} - 16y + 68 = 0$, then $y - x$ equals:

If $\log _{\left(x^{2}\right)} y+\log _{\left(y^{2}\right)} x=1$ and $y=x^{2}-30$, then the value of $x^{2}+y^{2}$ is ___________.