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Ana, Bruce and Carlos are on the waiting list of an MBA

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Ana, Bruce and Carlos are on the waiting list of an MBA [#permalink] New post 03 Oct 2007, 15:18
Ana, Bruce and Carlos are on the waiting list of an MBA program. If there are 20 people in front of Ana, 3 people between Bruce and Carlos and 15 people between Ana and Carlos, what is the number of people between Ana and Bruce?

(1) Ana is ahead of Carlos.
(2) There are 40 people on the waiting list.
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 [#permalink] New post 03 Oct 2007, 16:00
Thanks for the corrections!
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink] New post 03 Oct 2007, 16:09
kevincan wrote:
Ana, Bruce and Carlos are on the waiting list of an MBA program. If there are 20 people in front of Ana, 3 people between Bruce and Carlos and 15 people between Ana and Carlos, what is the number of people between Ana and Bruce?

(1) Ana is ahead of Carlos.
(2) There are 40 people on the waiting list.


A,

the only way to put A, B and C is

ABC
or
ACB

either way the asnwer is 15-3

II is insuff, gives no info about order
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 [#permalink] New post 03 Oct 2007, 16:10
20 + A ---> 20 people in front of Ana.

B + 3 + C or C + 3 + B ---> 3 people between Bruce and Carlos.

A + 15 + C or C + 15 + A ---> 15 people between Ana and Carlos.

A + ? + B or B + ? + A

statement I

Ana is ahead of Carlos ---> hence:

A + 15 + C

still don't know if B + 3 + C or C + 3 + B.

insufficient

statement II

There are 40 people on the waiting list.

20 + A

can't tell if A + 15 + C or C + 15 + A or if B + 3 + C or C + 3 + B.

so insufficient

both statements

20 + A + 15 + C = 37

has to be B + 3 + C ! other wise we have 41 people on list so.

My answer is (C)

:)
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink] New post 03 Oct 2007, 16:22
kevincan wrote:
Ana, Bruce and Carlos are on the waiting list of an MBA program. If there are 20 people in front of Ana, 3 people between Bruce and Carlos and 15 people between Ana and Carlos, what is the number of people between Ana and Bruce?

(1) Ana is ahead of Carlos.
(2) There are 40 people on the waiting list.


strange question
E is too tempting, but will go with B on the test day

1. not suff. clearly 20+A+15+C+3+B

2. seems like suff. if we assume this C+3+B+15+A+19 there is no other way to organize the queue with given info. let's forget about the order other than given on the stem
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 [#permalink] New post 03 Oct 2007, 16:38
Killersquirrel made a nice explanation. i think i would bomb my quant on the test day if it were the first question. what is the OA
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink] New post 03 Oct 2007, 19:33
kevincan wrote:
Ana, Bruce and Carlos are on the waiting list of an MBA program. If there are 20 people in front of Ana, 3 people between Bruce and Carlos and 15 people between Ana and Carlos, what is the number of people between Ana and Bruce?

(1) Ana is ahead of Carlos.
(2) There are 40 people on the waiting list.


From the stem of question there are 4 Possibilities of B position.

----------B---C---B----------A-----------B----C----B
----------<--><---------------<---------------->
...............3...........15.................20............

From Stmnt1.

----------B---C---B----------A------------------
----------<--><---------------<---------------->
...............3...........15.................20............


Can we tell number of people between Anna and Bruce ?
No there are still 2 possibilities.

From Stmnt2:
With stmnt 2 , there are 40 people in the waiting list . Doesnt solve much of our problem.

Combining
Now we know there has to be 5 people behind C now. Since there are 5 people and number of people between B and C is only 3 , guess B can be either behind and front of C.
So E.


Well the diagram looks funky..eh? Hope the OA is not!
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink] New post 03 Oct 2007, 19:53
ashkrs wrote:
kevincan wrote:
Ana, Bruce and Carlos are on the waiting list of an MBA program. If there are 20 people in front of Ana, 3 people between Bruce and Carlos and 15 people between Ana and Carlos, what is the number of people between Ana and Bruce?

(1) Ana is ahead of Carlos.
(2) There are 40 people on the waiting list.


From the stem of question there are 4 Possibilities of B position.

----------B---C---B----------A-----------B----C----B
----------<--><---------------<---------------->
...............3...........15.................20............

From Stmnt1.

----------B---C---B----------A------------------
----------<--><---------------<---------------->
...............3...........15.................20............


Can we tell number of people between Anna and Bruce ?
No there are still 2 possibilities.

From Stmnt2:
With stmnt 2 , there are 40 people in the waiting list . Doesnt solve much of our problem.

Combining
Now we know there has to be 5 people behind C now. Since there are 5 people and number of people between B and C is only 3 , guess B can be either behind and front of C.
So E.


Well the diagram looks funky..eh? Hope the OA is not!


Did you count three people A, B and C ?
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 [#permalink] New post 03 Oct 2007, 20:11
This is C..

the line is 40 people...

if we place anna ahead of everyne

suppose she is the 21th person..then she has 20 people ahead of her..

of the gap between her and Carlos is 15..which means carlos is 37th position..

now if Bruce is 3 people behind Carlos then he would 41st person..

we are told that the line is 40 people long..which means bruce is 34th in line..

we need statment 1 & 2..both
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink] New post 03 Oct 2007, 21:26
kevincan wrote:
Ana, Bruce and Carlos are on the waiting list of an MBA program. If there are 20 people in front of Ana, 3 people between Bruce and Carlos and 15 people between Ana and Carlos, what is the number of people between Ana and Bruce?

(1) Ana is ahead of Carlos.
(2) There are 40 people on the waiting list.




C. neither is suff.

so combining togather, B should be infront of C otherwise there will be 41 people.

---C---B------------A--------------------
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 [#permalink] New post 03 Oct 2007, 22:18
Also for C,

1. not suff since we don;t know about location of B
2. neither suff

together suff. because there will be 41 people as Fistail mentioned above,
trick is here the ABC, we should include them too into the waitlist than it becomes 41

Ans: C
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 [#permalink] New post 04 Oct 2007, 09:21
Good work, OA=C
I will post OE later- it involves absolute values
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink] New post 04 Oct 2007, 13:40
kevincan wrote:
Ana, Bruce and Carlos are on the waiting list of an MBA program. If there are 20 people in front of Ana, 3 people between Bruce and Carlos and 15 people between Ana and Carlos, what is the number of people between Ana and Bruce?

(1) Ana is ahead of Carlos.
(2) There are 40 people on the waiting list.


Let a, b and c be their places in the line
a=20
|b-c|=4 and |a-c|=16

find |a-b|-1
Re: Manhattan Review Question of the Day- October 4, 2007   [#permalink] 04 Oct 2007, 13:40
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