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GMAT-MATHS-->View question

Answer the given question (GMAT-MATHS)

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. (GMAT-MATHS)


Asked On2019-04-08 13:56:05 by:naikaumprakash

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I think the answer is E.
statement 1
B and D cannot meet together, and we don't know anything of E.
Not sufficient
Statement 2
B and E can meet together from 10:30 pm till 0:30 am on wednesdays, 
and oh the weekend only till 12:00. 
We don'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 don't know their separate time.
B and E can only meet during weekdays starting from 10:30 PM, but we don't Know anything when they are available seperate.

Answerd on:2019-05-26 Answerd By:gokilapriya

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Answer 9 (E).
This is a Yes/No data sufficiency question. The only way the statements will provide
definitive information is if they lead to a definite YES answer or if they lead to a definite
NO answer. (A "Maybe" answer means that the statements are not sufficient.
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
6. ADE
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.

Answerd on:2019-06-05 Answerd By:Jaynil-Gaglani

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