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प्रश्न
Select the correct alternative from the given choices.
P, Q, and R when asked a question give three statements as a reply in the following manner.
P - always replies in only one type of statement - truth or lie.
Q - never replies in the same type of statements as P.
R - is neither consistent in all his statement types nor alternates between the two types of statements.
At the bus - stop, I asked: "Which bus goes to the airport?"
Their replies were as follows:
P: Take the North-bound bus.
The next bus arrives in 15 minutes.
It takes 45 minutes to reach the airport.
Q: The north-bound bus comes from the airport.
You have to wait for 20 minutes for the bus.
It takes 30 minutes to reach the airport.
R: Take the South-bound bus.
You have to wait for another quarter of an hour for the bus.
It takes anywhere between 1 hour to 1 hour 30 minutes to reach the airport.
How long does it take before I reach the airport from the bus-stop?
पर्याय
45 minutes
50 minutes
Between 1 hour and 1 hour 30 minutes
30 minutes
उत्तर
If P always speaks the truth, then Q always lies R.
If P always lies R then Q always speaks the truth.
In either case, R cannot be speaking all truths or all lies. R cannot alternate between truth and lies either.
So, we have the following:
Case (i)
| I | II | III | |
| P | T | T | T |
| Q | F | F | F |
| R | F | T | F |
Case (ii)
| I | II | III | |
| P | F | F | F |
| Q | T | T | T |
| R | T | F | F |
In case (i), R becomes an alternator which violates the given condition.
Hence case (ii) in the correct arrangement and the south bound bus goes to the airport.
(20 minutes to wait for the bus) + (30 minutes of travel time) = 50 minutes to reach the airport.
