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

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GMAT Instructor
Joined: 04 Jul 2006
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Ana, Bruce and Carlos are on the waiting list of an MBA [#permalink]  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.
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1268
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Kudos [?]: 152 [0], given: 0

Thanks for the corrections!
Director
Joined: 22 Aug 2007
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink]  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
VP
Joined: 08 Jun 2005
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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.

VP
Joined: 09 Jul 2007
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Location: London
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink]  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
VP
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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
Director
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink]  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!
Director
Joined: 22 Aug 2007
Posts: 572
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Kudos [?]: 14 [0], given: 0

Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink]  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 ?
Current Student
Joined: 28 Dec 2004
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Location: New York City
Schools: Wharton'11 HBS'12
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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
Director
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Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink]  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--------------------
Senior Manager
Joined: 27 Aug 2007
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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
GMAT Instructor
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Posts: 1268
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Good work, OA=C
I will post OE later- it involves absolute values
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1268
Followers: 23

Kudos [?]: 152 [0], given: 0

Re: Manhattan Review Question of the Day- October 4, 2007 [#permalink]  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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