Which of the following combination is definitely correct?
W - Mumbai
Logic Puzzle: Persons and Destinations
We need to determine the definite destination for one of the persons based on the given clues.
Given Information:
- Eight persons: P, Q, R, S, T, U, V, W
- Eight destinations: Delhi, Mumbai, Chennai, Hyderabad, Goa, Panji, Punjab, UP
- R is going to Goa.
- S is going to UP.
- T is going to Panji.
- V is not going to Delhi, Mumbai, or Punjab.
- P and Q are not going to Punjab or Mumbai.
- U is not going to Delhi or Mumbai.
Let's create a table to track the possibilities and apply the constraints:
| Person | Delhi | Mumbai | Chennai | Hyderabad | Goa | Panji | Punjab | UP |
|---|---|---|---|---|---|---|---|---|
| P | No |
No |
||||||
| Q | No |
No |
||||||
| R | Yes |
|||||||
| S | Yes |
|||||||
| T | Yes |
|||||||
| U | No |
No |
||||||
| V | No |
No |
No |
|||||
| W |
Deductive Reasoning Steps
Step 1: Fixed Destinations
- R is going to Goa.
- S is going to UP.
- T is going to Panji.
Step 2: Eliminate Destinations for Specific Persons
- V cannot go to Delhi, Mumbai, or Punjab. Remaining possibilities for V: Chennai, Hyderabad.
- P cannot go to Punjab or Mumbai.
- Q cannot go to Punjab or Mumbai.
- U cannot go to Delhi or Mumbai.
Step 3: Determine Mumbai's Destination
Consider the destination Mumbai. Who cannot go to Mumbai?
- P cannot go to Mumbai.
- Q cannot go to Mumbai.
- U cannot go to Mumbai.
- V cannot go to Mumbai.
The persons who cannot go to Mumbai are P, Q, U, and V. This leaves R, S, T, and W.
We know:
- R is going to Goa.
- S is going to UP.
- T is going to Panji.
Since R, S, and T have fixed destinations other than Mumbai, the only person remaining who can go to Mumbai is W.
Conclusion: W is definitely going to Mumbai.
Checking the Options
Based on our deduction, W must be going to Mumbai. Let's check the options:
- Option 1: W - Delhi (Incorrect)
- Option 2: Q - Delhi (Possible, but not definite)
- Option 3: P - Delhi (Possible, but not definite)
- Option 4: W - Mumbai (Correct and definite)
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