IPMAT Indore 2025 (MCQ) PYQs

The numbers $2^{2024}$ and $5^{2024}$ are expanded and their digits are written out consecutively on one page. The total number of digits written on the page is

The set of real values of $x$ for which the inequality $\log _{27} 8 \leq \log _{3} x \lt 9^{\frac{1}{\log _{2} 3}}$ holds is

If $\log_5(\log_8(x^2 - 1)) = 0$, then a possible value of $x$ is