Six students, Abhay, Bhanu, Charu, David, Ekta and Farheen, are the top six rank holders in a school. The rank of Bhanu is between the ranks of Charu and David. Bhanu is on the fourth rank. There are two students between the ranks of Ekta and David. Ekta is at the lowest rank among all the given students. The rank of Abhay is immediately below the rank of Farheen. Who is on the fifth rank?
Charu
This problem requires us to determine the exact rank of each of the six students based on the given clues and then identify the student at the fifth rank.
We have six students: Abhay, Bhanu, Charu, David, Ekta, and Farheen, holding ranks from 1 to 6. Let's break down the clues provided:
Let's use the confirmed ranks and the clues to fill in the positions from 1 to 6.
Now consider Clue 3: There are two students between Ekta (Rank 6) and David. The ranks between 6 and another student are 5 and 4. Since Ekta is at Rank 6, and there are two students between her and David, David must be at Rank $6 - 2 - 1 = 3$.
Let's update our known ranks:
| Rank | Student |
|---|---|
| 1 | ? |
| 2 | ? |
| 3 | David |
| 4 | Bhanu |
| 5 | ? |
| 6 | Ekta |
Next, let's use Clue 1: Bhanu (Rank 4) is between Charu and David (Rank 3). Given David is at Rank 3 and Bhanu is at Rank 4, for Charu to be "between" them in terms of rank order, Charu must be at Rank 5. The sequence of ranks would be 3 (David), 4 (Bhanu), 5 (Charu).
Current ranks:
| Rank | Student |
|---|---|
| 1 | ? |
| 2 | ? |
| 3 | David |
| 4 | Bhanu |
| 5 | Charu |
| 6 | Ekta |
Finally, let's use Clue 5: The rank of Abhay is immediately below the rank of Farheen. The remaining ranks are 1 and 2. The only way for Abhay's rank to be immediately below Farheen's is if Farheen is at Rank 1 and Abhay is at Rank 2.
The complete ranking is:
| Rank | Student |
|---|---|
| 1 | Farheen |
| 2 | Abhay |
| 3 | David |
| 4 | Bhanu |
| 5 | Charu |
| 6 | Ekta |
Based on our detailed deduction, the student at the fifth rank is Charu.
By carefully analyzing each clue and combining the information, we were able to determine the rank of all six students. The student on the fifth rank is Charu.
| Clue | Deduction | Confirmed Rank(s) |
|---|---|---|
| Bhanu is on the fourth rank. | Direct information. | Rank 4: Bhanu |
| Ekta is at the lowest rank (6th). | Direct information. | Rank 6: Ekta |
| Two students between Ekta (6) and David. | Ranks 5 and 4 are between them. David must be at Rank 3. | Rank 3: David |
| Bhanu (4) is between Charu and David (3). | Order must be 3(David), 4(Bhanu), 5(Charu) for ranks. | Rank 5: Charu |
| Abhay's rank is immediately below Farheen's. | Remaining ranks are 1 & 2. Farheen must be 1, Abhay 2. | Rank 1: Farheen, Rank 2: Abhay |
Ranking puzzles are a common type of logical reasoning problem. They require careful reading and analysis of clues to determine the relative or absolute positions of individuals or items in a sequence. Here are some tips for solving them:
These puzzles test your ability to synthesize information and use deductive reasoning to arrive at a unique solution.
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