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# 15 members of a small club are all standing in a queue for the collect

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1430
Location: India
15 members of a small club are all standing in a queue for the collect  [#permalink]

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08 Apr 2018, 05:24
1
00:00

Difficulty:

75% (hard)

Question Stats:

36% (02:11) correct 64% (02:02) wrong based on 34 sessions

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15 members of a small club are all standing in a queue for the collection of their monthly coupons. Every third person from the back of the queue is a male. How many of these 15 people are females?

(1) Every 3rd person from the front of the queue is a female.

(2) No two males are standing next to each other in the queue.
Intern
Status: Preparing for GMAT
Joined: 07 Nov 2016
Posts: 16
Location: India
Concentration: Technology, Economics
GPA: 3.1
WE: Analyst (Consulting)
Re: 15 members of a small club are all standing in a queue for the collect  [#permalink]

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08 Apr 2018, 11:47
amanvermagmat wrote:
15 members of a small club are all standing in a queue for the collection of their monthly coupons. Every third person from the back of the queue is a male. How many of these 15 people are females?

(1) Every 3rd person from the front of the queue is a female.

(2) No two males are standing next to each other in the queue.

We will have to solve this question visually-

Statement 1-
The distribution would be like this
Front- (M),(),(F),(M),(),(F),(M),(),(F),(M),(),(F),(M),(),(F) - Back
We cannot be sure of the number of females as there is still uncertainty

Statement 2-

Every third person from the back is Male-
Front- (M),(),(),(M),(),(),(M),(),(),(M),(),(),(M),(),() - Back

Now no two males can stand next to each other-

Front- (M),(F),(F),(M),(F),(F),(M),(F),(F),(M),(F),(F),(M),(F),(M/F) - Back
There is still some uncertainty

Now combining the two statements-
The only distribution we get is-
Front- (M),(F),(F),(M),(F),(F),(M),(F),(F),(M),(F),(F),(M),(F),(F) - Back

Hence answer is C
Re: 15 members of a small club are all standing in a queue for the collect   [#permalink] 08 Apr 2018, 11:47
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# 15 members of a small club are all standing in a queue for the collect

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