Direction: Read the following information carefully and answers the given question: Eight people i.e. P, Q, R, S, T, U, V and W are living in a four-storey building, but not necessarily in the same order. The floor is numbered 1 to 4 from bottom to top. Each floor consists of two flats Flat 1 and Flat 2. Flat 1 is situated to the immediate left of Flat 2. Every person lives in each flat. R and S live on the same floor but above the floor on which P lives. Q and R live in the same flat on different floors. P and V do not live in the same flat on different floors. P lives on an odd-numbered floor but he does not live on the ground floor. U lives below the floor on which V lives. W does not live with P on the same floor. T does not live to the immediate right of P. V lives on an even-numbered floor just above Q in the same flat of different floors.
Who lives on the Flat 2 of Floor 2?
W
This problem requires us to determine the exact placement of eight people (P, Q, R, S, T, U, V, W) in a four-storey building, with two flats (Flat 1 and Flat 2) on each floor. Flat 1 is to the left of Flat 2. We need to find who lives in Flat 2 of Floor 2.
Step-by-Step Deduction
- Determine P's Floor: The clue states, "P lives on an odd-numbered floor but he does not live on the ground floor." The floors are numbered 1 to 4. Odd floors are 1 and 3. Since P does not live on the ground floor (Floor 1), P must live on Floor 3.
- Determine R and S's Floor: "R and S live on the same floor but above the floor on which P lives." Since P is on Floor 3, R and S must live on the floor above, which is Floor 4. They occupy both flats on Floor 4.
-
Determine V and Q's Location:
- "V lives on an even-numbered floor just above Q in the same flat of different floors." Even floors are 2 and 4. Since Floor 4 is occupied by R and S, V cannot be on Floor 4. Therefore, V must live on Floor 2.
- Since V lives just above Q in the same flat, Q must live on Floor 1, in the same flat as V.
- "Q and R live in the same flat on different floors." R lives on Floor 4. Since we found Q on Floor 1, this confirms they live in the same flat.
- So, Q, V, and R all live in the same flat. Let's call this Flat X.
- Determine S's Flat: Since R and S live on the same floor (Floor 4), and R lives in Flat X, S must live in the other flat on Floor 4. If Flat X is Flat 1, S is in Flat 2. If Flat X is Flat 2, S is in Flat 1.
- Determine U's Location: "U lives below the floor on which V lives." V is on Floor 2. So, U must live on Floor 1. Since Q lives on Floor 1 in Flat X, U must live in the other flat on Floor 1.
- Placing P: P lives on Floor 3. The two flats on Floor 3 are available (one potentially occupied by T or W).
- Placing W: "W does not live with P on the same floor." Since P is on Floor 3, W is not on Floor 3. We need to place W and T. The available floors are Floor 2 (one flat) and Floor 3 (one flat, depending on P's placement). Since W is not on Floor 3, W must live on the available flat on Floor 2.
- Placing T: The only person left is T, and the only remaining floor space is on Floor 3 (along with P). So, T lives on Floor 3.
-
Refining P and T's placement on Floor 3: "T does not live to the immediate right of P." This means if P is in Flat 1, T cannot be in Flat 2. If P is in Flat 2, T cannot be in the flat to its right (which doesn't exist on a 4-storey building context for immediate right).
- Assume Flat X (where Q, V, R live) is Flat 1. Then: Q (F1, F1), V (F2, F1), R (F4, F1). S is in F4, F2. U is in F1, F2. P and T are on F3. If P is in F3, F1, T must be in F3, F2. This arrangement has T to the immediate right of P, violating the rule. Therefore, P cannot be in Flat 1. P must be in F3, F2. This means T must be in F3, F1. This placement satisfies the condition "T does not live to the immediate right of P".
- Let's verify this structure:
- Floor 4: R (Flat 1), S (Flat 2)
- Floor 3: T (Flat 1), P (Flat 2)
- Floor 2: V (Flat 1), W (Flat 2)
- Floor 1: Q (Flat 1), U (Flat 2)
- What if Flat X (Q, V, R) is Flat 2? Then: Q (F1, F2), V (F2, F2), R (F4, F2). S is in F4, F1. U is in F1, F1. P and T are on F3. If P is in F3, F1, T must be in F3, F2. This arrangement has T to the immediate right of P (P in F1, T in F2), violating the rule. If P is in F3, F2, T must be in F3, F1. This arrangement has P in F2, and no flat to its right for T, which is fine. However, let's re-read: "T does not live to the immediate right of P". This means T is NOT in the flat immediately to P's right. If P is F1, T cannot be F2. If P is F2, T cannot be the flat to the right (non-existent). Let's revisit the first valid case.
- Revisiting the placement based on "T does not live to the immediate right of P": * Case 1: Flat X = Flat 1. Q(1,1), V(2,1), R(4,1), S(4,2), U(1,2). P & T on F3. * If P(3,1) & T(3,2): T is right of P -> VIOLATION. * If P(3,2) & T(3,1): T is left of P -> OK. * Arrangement: F4:R(1),S(2); F3:T(1),P(2); F2:V(1),W(2); F1:Q(1),U(2). * Case 2: Flat X = Flat 2. Q(1,2), V(2,2), R(4,2), S(4,1), U(1,1). P & T on F3. * If P(3,1) & T(3,2): T is right of P -> VIOLATION. * If P(3,2) & T(3,1): P is rightmost, T is leftmost on F3. T is not right of P. OK. * Arrangement: F4:S(1),R(2); F3:T(1),P(2); F2:W(1),V(2); F1:U(1),Q(2).
- Now recheck ALL clues for BOTH potential valid arrangements. * Clue 3: P and V do not live in the same flat. * Arrangement 1: P(3,2), V(2,1). Different flats. OK. * Arrangement 2: P(3,2), V(2,2). Same flat! -> VIOLATION.
- Therefore, only Arrangement 1 is correct.
- Floor 4: R (Flat 1), S (Flat 2)
- Floor 3: T (Flat 1), P (Flat 2)
- Floor 2: V (Flat 1), W (Flat 2)
- Floor 1: Q (Flat 1), U (Flat 2)
Final Arrangement
Based on the deductions, the final arrangement of people in the building is:
| Floor | Flat 1 | Flat 2 |
|---|---|---|
| Floor 4 | R | S |
| Floor 3 | T | P |
| Floor 2 | V | W |
| Floor 1 | Q | U |
Identifying the Occupant of Floor 2, Flat 2
Looking at the confirmed arrangement, the person living in Flat 2 of Floor 2 is W.
Similar Questions
On which of the following days does E have to attend the meeting?
Who among the following has to attend the meeting on Saturday?
On which of the following days does D have to attend the meeting?
how many people do attend the meeting between B and A?
Find the odd one?
Which of the following combination is correct
How many persons take admission between K and O?
N takes admission in which of the following days?
Which of the following combination is true?
How many floors are there between U and S?
Important Questions from Puzzle
If ‘<’ stands for ‘−’, ‘>’ stands for ‘+’, ‘=’ stands for ‘×’ and ‘$’ stands for ‘÷’, what will come in place of the question mark (?) in the following equation?
31 > 81 $ 9 < 7 = ?
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
35 B 4 C 6 D 84 A 14 = ?
This question is based on the five, three-digit numbers given below.
(Left) 468 429 517 371 386 (Right)
Example: 697 – First digit = 6, second digit = 9 and third digit = 7. (Note: All operations to be done from left to right.)
What will be the resultant if the second digit of the highest number is multiplied with the second digit of the lowest number?
This question is based on the five, three-digit numbers given below.
(Left) 897 687 819 623 832 (Right)
Example: 697 – First digit = 6, second digit = 9 and third digit = 7. (Note: All operations to be done from left to right.)
What will be the resultant if the second digit of the highest number is added to the third digit of the lowest number?
This question is based on the five, three-digit numbers given below.
(Left) 138 436 253 173 752 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.)
What will be the resultant if the third digit of the lowest number is added to the second digit of the highest number?
