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.
Which of the following combination is true?
Floor 2 - Flat 1 - V
Building Arrangement Puzzle Explained
This problem involves placing eight people (P, Q, R, S, T, U, V, W) in a four-storey building. Each floor has two flats, Flat 1 and Flat 2, with Flat 1 being to the left of Flat 2. We need to determine the correct combination based on the given conditions.
Understanding the Constraints
Let's break down the given information:
- Floors are numbered 1 to 4 from bottom to top.
- Each floor has Flat 1 (left) and Flat 2 (right).
- Condition 1: R and S live on the same floor, which is above P's floor.
- Condition 2: Q and R live in the same flat but on different floors.
- Condition 3: P and V do not live in the same flat on different floors.
- Condition 4: P lives on an odd-numbered floor, but not floor 1. This means P lives on Floor 3.
- Condition 5: U lives below the floor on which V lives.
- Condition 6: W does not live on the same floor as P.
- Condition 7: T does not live to the immediate right of P.
- Condition 8: V lives on an even-numbered floor just above Q, and they are in the same flat.
Step-by-Step Deduction
- Determine P's Floor: From Condition 4, P lives on Floor 3.
- Analyze V and Q's Placement: Condition 8 states V is on an even floor (Floor 2 or 4) just above Q, in the same flat.
- If V is on Floor 4, Q must be on Floor 3 (same flat). Since P is also on Floor 3, P and Q must be in different flats.
- If V is on Floor 2, Q must be on Floor 1 (same flat). This separates P (on F3) from V/Q.
- Relate Q and R: Condition 2 says Q and R live in the same flat on different floors.
- Relate R and S: Condition 1 says R and S live on the same floor, above P's floor (Floor 3). This means R and S live on Floor 4.
- Combine V, Q, R, S, P placements:
- If V is on Floor 4 (Flat X), then Q is on Floor 3 (Flat X). Since R must be on Floor 4 (with S) and in the same flat as Q (Flat X), R would be on Floor 4 (Flat X). But V is already on Floor 4 (Flat X). This creates a conflict as two people cannot live in the same flat. Therefore, V cannot be on Floor 4.
- So, V must be on Floor 2, and Q must be on Floor 1, in the same flat (let's call it Flat X).
- From Condition 2, R lives in the same flat (Flat X) as Q but on a different floor. Since R and S are on Floor 4, R must be on Floor 4 (Flat X).
- This means Q is on F1-FlatX, V is on F2-FlatX, and R is on F4-FlatX.
- S lives on Floor 4 with R, so S must be in the other flat on Floor 4 (Flat Y).
- P lives on Floor 3. Condition 3 states P and V do not live in the same flat. Since V is in Flat X, P cannot be in Flat X. P must be in Flat Y on Floor 3.
- So, we have: Q (F1-FlatX), V (F2-FlatX), P (F3-FlatY), R (F4-FlatX), S (F4-FlatY).
- Assigning Flat 1 and Flat 2: Let FlatX be Flat 1 and FlatY be Flat 2.
- Q lives on F1-Flat 1.
- V lives on F2-Flat 1.
- P lives on F3-Flat 2.
- R lives on F4-Flat 1.
- S lives on F4-Flat 2.
- Place U: Condition 5 states U lives below V (F2-Flat 1). U can be on Floor 1 in either Flat 1 or Flat 2. Since Q is in F1-Flat 1, U must be in F1-Flat 2.
- Place W: Condition 6 states W does not live on the same floor as P (Floor 3). The remaining flats are F2-Flat 2 and F3-Flat 1. Since W cannot be on Floor 3, W must be on F2-Flat 2.
- Place T: The only remaining person is T, and the only remaining flat is F3-Flat 1.
Final Arrangement
Based on the deductions, the final arrangement is:
| Floor | Flat 1 | Flat 2 |
|---|---|---|
| Floor 4 | R | S |
| Floor 3 | T | P |
| Floor 2 | V | W |
| Floor 1 | Q | U |
Evaluating the Options
Let's check the given combinations against our final arrangement:
- 1. Floor 4 - Flat 1 - S: Incorrect. S is on Floor 4, Flat 2.
- 2. Floor 2 - Flat 1 - V: Correct. V is indeed on Floor 2, Flat 1.
- 3. Floor 1 - Flat 2 - W: Incorrect. W is on Floor 2, Flat 2. U is on Floor 1, Flat 2.
- 4. Floor 3 - Flat 2 - T: Incorrect. T is on Floor 3, Flat 1. P is on Floor 3, Flat 2.
- 5. Floor 1 - Flat 1 - V: Incorrect. V is on Floor 2, Flat 1. Q is on Floor 1, Flat 1.
Therefore, the only true combination is Floor 2 - Flat 1 - V.
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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 = ?
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(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?
