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01 Aug 2024, 01:30
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C
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Difficulty:
15%
(low)
Question Stats:
84% (01:06) correct
16%
(01:19)
wrong
based on 81
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During a holiday Mr. & Mrs. Harry went to a hill station named 'Wings of Lord'. During their stay there Mrs. Harry went for a walk on 23 mornings whereas Mr. Harry went for a walk on 18 mornings. For how many days did Mr. & Mrs. Harry stay at 'Wings of Lord'?
(1) There were a total of 8 mornings when both Mr. & Mrs. Harry went for a walk.
(2) There was no day when neither went for a walk.
(1) There were a total of 8 mornings when both Mr. & Mrs. Harry went for a walk.
(2) There was no day when neither went for a walk.
19 Sep 2024, 10:49
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- Mrs. Harry went for a walk on 23 mornings
- Mr. Harry went for a walk on 18 mornings
We need to determine the total number of days they stayed at 'Wings of Lord'.
Statement (1): There were a total of 8 mornings when both Mr. & Mrs. Harry went for a walk.
This information allows us to use the inclusion-exclusion principle:
Total mornings = Mrs. Harry's walks + Mr. Harry's walks - Mornings they both walked
= 23 + 18 - 8 = 33
However, we don't know if this is the total number of days they stayed, as there might have been days when neither went for a walk.
Statement (1) alone is not sufficient.
Statement (2): There was no day when neither went for a walk.
This statement tells us that every day, at least one of them went for a walk.
Statement (2) alone is not sufficient, as we don't know how many days they overlapped in their walks.
Now, let's combine both statements:
With Statement (1), we calculated that there were 33 mornings when at least one of them went for a walk.
With Statement (2), we know that this covers all the days of their stay, as there was no day when neither went for a walk.
Therefore, combining both statements, we can conclude that Mr. & Mrs. Harry stayed at 'Wings of Lord' for 33 days.
The answer is C: Both statements (1) and (2) together are sufficient to answer the question.
- Mr. Harry went for a walk on 18 mornings
We need to determine the total number of days they stayed at 'Wings of Lord'.
Statement (1): There were a total of 8 mornings when both Mr. & Mrs. Harry went for a walk.
This information allows us to use the inclusion-exclusion principle:
Total mornings = Mrs. Harry's walks + Mr. Harry's walks - Mornings they both walked
= 23 + 18 - 8 = 33
However, we don't know if this is the total number of days they stayed, as there might have been days when neither went for a walk.
Statement (1) alone is not sufficient.
Statement (2): There was no day when neither went for a walk.
This statement tells us that every day, at least one of them went for a walk.
Statement (2) alone is not sufficient, as we don't know how many days they overlapped in their walks.
Now, let's combine both statements:
With Statement (1), we calculated that there were 33 mornings when at least one of them went for a walk.
With Statement (2), we know that this covers all the days of their stay, as there was no day when neither went for a walk.
Therefore, combining both statements, we can conclude that Mr. & Mrs. Harry stayed at 'Wings of Lord' for 33 days.
The answer is C: Both statements (1) and (2) together are sufficient to answer the question.
