Question
Download Solution PDFComprehension
Direction: There are six steps on. a staircase leading from the ground floor to the first floor. Denote the first step by 1, second by 2, and so on. There are four people P, Q, R and S. No two people can be on the same step.
I. P is two steps below R.
II. Q is on the next step to S.
III. R is two steps below S.
If P is on the first step, which of the following is true?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAs per the given question,
There are six steps on. a staircase leading from the ground floor to the first floor. Denote the first step by 1, second by 2, and so on. There are four people P, Q, R and S. No two people can be on the same step.
- P is two steps below R.
So, P can be on ground floor as there is nothing mention about P's step.
- R is two steps below S.
There are three possibilities:
| Steps | People | ||
| Case I | Case II | Case III | |
| First floor | |||
| 6 | S | ||
| 5 | S | ||
| 4 | R | S | |
| 3 | R | ||
| 2 | P | R | |
| 1 | P | ||
| Ground Floor | P | ||
- Q is on the next step to S.
| Steps | People | ||
| Case I | Case II | Case III | |
| First Floor | Q | ||
| 6 | S | Q | |
| 5 | S | Q | |
| 4 | R | S | |
| 3 | R | ||
| 2 | P | R | |
| 1 | P | ||
| Ground Floor | P |
||
Here, P is on first step in case II. So, the statement that S is on a higher step than R' is true.
Hence, the correct answer is "S is on a higher step than R".
Last updated on May 8, 2025
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