TANCET 2025 Solved Papers

Concept:In a five-person ranking, rank $1$ is the highest and rank $5$ is the lowest.The median rank is $3$, so "lower than the median" means rank $4$ or rank $5$.Explanation:Given: Dev ranks above Ernesto, and Bala ranks above Chetan.Since Chetan's rank is lower than the median, Chetan is at rank $4$ or rank $5$.Statement (1): Atul is rank $5$.Then Chetan cannot be rank $5$, so Chetan is rank $4$.But Bala could still be rank $1$, $2$, or $3$, so the highest rank is not fixed.Statement (2): Bala is not in the top two ranks.Chetan can be rank $4$ or $5$, and different students could be first, so this alone is not sufficient.Combine both statements: Atul is rank $5$, so Chetan is rank $4$.Bala ranks above Chetan, so Bala must be rank $1$, $2$, or $3$.Statement (2) removes ranks $1$ and $2$, so Bala must be rank $3$.Only ranks $1$ and $2$ remain for Dev and Ernesto.Since Dev ranks above Ernesto, Dev gets rank $1$, which is the highest rank.Thus both statements together are sufficient.Answer:Option C: BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.