Question
There are six friends A, B, C, D, E, and F. F ranked higher than B and C. D ranked higher than C and E. F ranked lower than E. A ranked higher than F but ranked lower than E. Who among them ranked the highest?
This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
D
Ranking Conditions Analysis
Let's list the given ranking relationships:
- $F > B$
- $F > C$
- $D > C$
- $D > E$
- $E > F$
- $E > A$
- $A > F$
Building the Ranking Order
We combine the conditions to find the relative ranks:
- From $D > E$ and $E > F$, we establish $D > E > F$.
- From $E > A$ and $A > F$, we establish $E > A > F$.
- Combining these, we get $D > E > A > F$.
- The conditions $F > B$ and $F > C$ place B and C below F.
- The condition $D > C$ is consistent with D being the highest rank.
- The resulting order is $D > E > A > F > \{B, C\}$.
Highest Rank Determination
From the deduced order $D > E > A > F$, the person ranked highest is D.
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