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20 Sep 2023, 09:57
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E
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Difficulty:
75%
(hard)
Question Stats:
62% (02:19) correct
38%
(02:12)
wrong
based on 133
sessions
History
Date
Time
Result
Not Attempted Yet
Anna and John visit Central Park every 2 and 3 days, respectively. They first met today, which was a Thursday. They agreed that each time they meet on a Sunday, John will invite Anna for coffee. In how many days from today will Anna receive her second coffee invite from John?
A. 6 days
B. 12 days
C. 24 days
D. 42 days
E. 66 days
A. 6 days
B. 12 days
C. 24 days
D. 42 days
E. 66 days
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20 Sep 2023, 13:55
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Bunuel
Anna and John visit Central Park every 2 and 3 days, respectively. They first met today, which was a Thursday. They agreed that each time they meet on a Sunday, John will invite Anna for coffee. In how many days from today will Anna receive her second coffee invite from John?
A. 6 days
B. 12 days
C. 24 days
D. 42 days
E. 66 days
A. 6 days
B. 12 days
C. 24 days
D. 42 days
E. 66 days
Anna and John meet after every 6 days. We arrived at the value 6 by taking the LCM of 2 and 3.
6 days from Thursday = Wednesday ⇒ Inference: We are moving back by a day, i.e. Wednesday = Thursday - 1 day
To understand this further, let's take another cycle
6 days from Wednesday = Tuesday (Tuesday = Wednesday - 1 day)
So for the first coffee invite, Anna and John have to meet \(4\) times (as we need to move back \(4\) days from Thursday to reach a Sunday). Each interval has a gap of \(6\) days so the total number of days for the first coffee invite = \(6 * 4 = 24\) days.
For the second coffee invite, the time interval is \(7\) days, i.e. Anna and John have to meet \(6\) times so that when they meet the \(7^{\text{th}}\) time, the day is a Sunday. Each interval has a gap of \(6\) days so the total number of days between the first and the second coffee invite = \(6 * 7 = 42\) days.
Total number of days = \(42 + 24 = 66\) days.
Option E
19 Dec 2024, 10:02
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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