Aspire Faculty ID #16586 · Topic: NIMCET 2008 · Just now
NIMCET 2008

In a class, six students $P,Q,R,S,T,U$ are the top six rank holders. $R$ did not get the 4th rank. $P$’s rank is higher than $U$’s and $R$’s but lower than $Q$’s. Four students have ranks lower than $S$, and five students have ranks above $T$. Who is ranked 5th in the class?

Solution

Five students are above $T$, so $T$ is 6th. Four students are below $S$, so $S$ is 2nd. $Q$ must be 1st, $P$ must be 3rd. Remaining ranks 4 and 5 are for $R$ and $U$, but $R$ is not 4th. This leads to no definite 5th rank.

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