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# A, B, C, D, and E are airline pilots with very busy travel

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Intern
Joined: 02 Sep 2004
Posts: 39
A, B, C, D, and E are airline pilots with very busy travel  [#permalink]

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14 Sep 2004, 08:54
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A, B, C, D, and E are airline pilots with very busy travel schedules. Given that D is able to meet at any time that B cannot meet, do the schedules of A, B, C, D, and E allow three of these five individuals to meet together for two uninterrupted hours?

(1) Pilots A and C, who cannot meet together, are not able to end any meeting during the AM hours of any weekday.

(2) Pilots B and E, who can never meet for longer than 2 uninterrupted hours, are only available to meet for two straight hours starting at 10:30 PM on any weekday and not ending during the AM hours of any weekend day.

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Manager
Joined: 27 Aug 2004
Posts: 108
Location: US

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14 Sep 2004, 09:08
Quote:
Given that D is able to meet at any time that B cannot meet

Is this worded correctly in the question ?
Manager
Joined: 02 Apr 2004
Posts: 174
Location: Utrecht

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14 Sep 2004, 09:44
I think the answer is E.

st.1
B and D cannot meet together, and we donÂ´t know anything of E.
not sufficient.

st.2
B and E can meet together from 10:30 PM till 0:30 AM on weekdays, and on the weekend only till 12:00. We donÂ´t have any information of A and C because D cannot meet with B.
not sufficient.

Both statements together are also not sufficient, I think.
A and C cannot meet together when it ends at AM in the weekdays but we donÂ´t know their separate time.
B and E can only meet during weekdays starting from 10:30 PM, but we donÂ´t know anything when they are available separate.

Please correct me if I am wrong.

Regards,

Alex
Intern
Joined: 22 Aug 2004
Posts: 13

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15 Sep 2004, 05:57
Combining the two conditions;
A B E can meet on weekends but not on weekdays, as A/C cannot end a meeting during AM hours of any weekday)

Similar is the case with C B E
However the wording of the Ques is not clear; cond 2 : Does it also imply that on a weekend day B & E are available from 10:30 PM?

A D E can meet on any weekday before 10:30 PM and also on weekends

Similar is the case with C D E

Am I making any unstated assumptions here??
Intern
Joined: 02 Sep 2004
Posts: 39

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17 Sep 2004, 07:31
1

Statement (1) alone only provides us information about when A and C cannot meet. It does not provide any information about when each of the pilots ARE able to meet. While we know that A and C cannot meet together, it is possible that some combination of three pilots would be able to meet together (such as ABD or CBE). Statement (1) alone therefore does not provide enough information to be able to definitively answer this question YES or NO.
Statement (2) alone provides us with specific information about when B and E can meet. However we are not provided with information as to whether one of the other pilots --A, C or D -- will be able to join them for the meeting. Thus, statement (2) alone is not sufficient to answer this question

In analyzing statements (1) and (2) together, it is helpful to list the 10 possible ways that 3 of the pilots could meet:
1. ABC
2. ABD
3. ABE
4. ACD
5. ACE
7. BCD
8. BCE
9. BDE
10. CDE
Statements (1) and (2) taken together preclude pilots A or C from meeting with pilots B and E. This is due to the fact that pilots B and E can only meet for two straight hours from 10:30 PM to 12:30 AM starting on either Monday, Tuesday, Wednesday, or Thursday night while pilots A and C can never meet during the AM hours of any weekday (leaving the 12:00 AM to 12:30 AM slot impossible). This eliminates 8 of the 10 possibilities (1, 2, 3, 5, 6 because A can't meet with B or E and 7, 8, 10 because C can't meet with B or E.)
In addition, since pilot A cannot meet with pilot C, possibility 4 is also eliminated.

Thus, the only possibility that remains is #9: BDE. The question stem states that D is able to meet at any time that B cannot. It may be tempting to use this information to conclude that B and D are not able to meet together. However, while we know for sure that D is able to meet at any time that B cannot, this does not preclude the possibility that D is ALSO able to meet at times when B can meet. Given that we don't know whether or not D can meet at the same time that B and E can meet - we do not have enough information to evaluate whether pilots B, D, and E will be able to meet together.
Therefore, the correct answer is E: Statements (1) and (2) TOGETHER are NOT sufficient.

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Re: A, B, C, D, and E are airline pilots with very busy travel  [#permalink]

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28 Nov 2019, 06:22
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Re: A, B, C, D, and E are airline pilots with very busy travel   [#permalink] 28 Nov 2019, 06:22
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