Question Details

Four of the following five are similar in a certain way and form a group. Which one does not belong to the group?

Read the given information carefully and answer the questions that follow.
Six persons – A, B, C, D, E and F – live on three different floors of a three-storeyed building. The lowermost floor is numbered 1, the one above it is numbered 2, and the topmost floor is numbered 3. Each person belongs to a different city, viz., Delhi, Mumbai, Chennai, Kolkata, Jaipur, and Pune, but not necessarily in the same order.

Note-I: Each floor has two flats – Flat-P and Flat-Q, where Flat-P is to the west of Flat-Q.
Note-II: Flat-Q of Floor 2 is immediately above Flat-Q of Floor 1, and Flat-Q of Floor 3 is immediately above Flat-Q of Floor 2. Similarly, Flat-P follows the same pattern.
Note-III: Only two persons live on each floor, and only one person lives in each flat.

The one who belongs from Pune lives immediately above the person who lives to the west of D. E lives two floors above the person who belongs from Delhi. The one who belongs from Jaipur lives to the east of the one who belongs from Delhi. E and D lives in the different named flat. F lives below E and belongs from Kolkata. The one who belongs from Chennai lives to the north-east of the one who belongs from Kolkata. A and C live in the same named flat. A doesn’t belong from Chennai. C and the one who belongs from Mumbai doesn’t live on the same floor.

Options

A

A

B

The one who belongs to Delhi

C

The one who belongs to Pune

D

F

E

The one who belongs to Chennai

Show Answer

Correct Answer :

Option D

F

Solution :

To find which person does not belong to the group, we first need to determine the floor and flat arrangement for each of the six individuals (A, B, C, D, E, and F) and their respective cities (Delhi, Mumbai, Chennai, Kolkata, Jaipur, and Pune).

Based on the notes, we have:
- Three floors: Floor 3 (top), Floor 2 (middle), and Floor 1 (bottom).
- Two flats on each floor: Flat-P (West) and Flat-Q (East).

Step-by-Step Derivation:

1. Determine the positions of E, Delhi, and Jaipur:
- Clue: "E lives two floors above the person who belongs from Delhi."
Since there are only 3 floors, the person from Delhi must live on Floor 1, and E must live on Floor 3.
- Clue: "The one who belongs from Jaipur lives to the east of the one who belongs from Delhi."
Since Delhi is on Floor 1, Jaipur is also on Floor 1. Flat-P is to the west of Flat-Q, which means:
• The person from Delhi lives in Floor 1, Flat-P.
• The person from Jaipur lives in Floor 1, Flat-Q.
• E lives on Floor 3.

2. Determine the positions of D and Pune:
- Clue: "The one who belongs from Pune lives immediately above the person who lives to the west of D."
For someone to live to the west of D, D must live in Flat-Q. The person to the west of D must therefore live in Flat-P on the same floor.
Let's find the floor for D:
• If D is on Floor 2 (Flat-Q), the person to the west of D is on Floor 2 (Flat-P). The person from Pune lives immediately above them, which places Pune on Floor 3 (Flat-P). Since E lives on Floor 3, and "E and D live in the different named flat" (E in Flat-P, D in Flat-Q), this arrangement is consistent. Thus, E belongs to Pune.
• If D were on Floor 3, the person immediately above Flat-P of Floor 3 would be on Floor 4, which does not exist.

Therefore:
• E (Pune) lives in Floor 3, Flat-P.
• D lives in Floor 2, Flat-Q.

3. Position of F and Kolkata:
- Clue: "F lives below E and belongs from Kolkata."
Since E is on Floor 3 (Flat-P) and Floor 1 is fully occupied by Delhi and Jaipur, F must live on Floor 2.
Thus:
• F (Kolkata) lives in Floor 2, Flat-P.

4. Position of Chennai:
- Clue: "The one who belongs from Chennai lives to the north-east of the one who belongs from Kolkata."
Since F (Kolkata) is in Floor 2, Flat-P, the position to their north-east is Floor 3, Flat-Q.
Thus, the person from Chennai lives in Floor 3, Flat-Q.

5. Positions of A, C, B and Mumbai:
- The remaining cities are Mumbai and Delhi. Since we have assigned Pune, Kolkata, Jaipur, Delhi, and Chennai, D must belong to Mumbai (Floor 2, Flat-Q).
- Clue: "A and C live in the same named flat."
- Clue: "C and the one who belongs from Mumbai (D) doesn’t live on the same floor."
Since D is on Floor 2, C cannot be on Floor 2.
If A and C live in Flat-P, the available positions are E (Floor 3) and Delhi (Floor 1). But E is already E, and F is on Floor 2. Thus, A and C must live in Flat-Q.
The Flat-Q positions are Floor 3 (Chennai), Floor 2 (D/Mumbai), and Floor 1 (Jaipur).
Since C cannot be on Floor 2, and A does not belong to Chennai (Floor 3), we have:
• C (Chennai) lives in Floor 3, Flat-Q.
• A (Jaipur) lives in Floor 1, Flat-Q.
• Consequently, B is the remaining person, who belongs to Delhi and lives in Floor 1, Flat-P.

Final Arrangement Table:

Floor Flat-P (West) Flat-Q (East)
Floor 3 E (Pune) C (Chennai)
Floor 2 F (Kolkata) D (Mumbai)
Floor 1 B (Delhi) A (Jaipur)

Analyzing the Options to Find the Odd One Out:

Let us look at the positions of the entities given in the options:
1. A lives on Floor 1, Flat-Q (Corner/Extreme floor flat)
2. The one who belongs to Delhi (B) lives on Floor 1, Flat-P (Corner/Extreme floor flat)
3. The one who belongs to Pune (E) lives on Floor 3, Flat-P (Corner/Extreme floor flat)
4. F lives on Floor 2, Flat-P (Middle floor flat)
5. The one who belongs to Chennai (C) lives on Floor 3, Flat-Q (Corner/Extreme floor flat)

Except for F, all other persons live on either the topmost floor (Floor 3) or the lowermost floor (Floor 1). F is the only person among the choices who lives on the middle floor (Floor 2).

Therefore, F does not belong to the group.

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