Last visit was: 17 May 2024, 23:22 It is currently 17 May 2024, 23:22
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# In a group, the ratio of the number of women to the number of children

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93334
Own Kudos [?]: 624579 [2]
Given Kudos: 81898
Manager
Joined: 01 Oct 2021
Posts: 52
Own Kudos [?]: 54 [0]
Given Kudos: 90
Intern
Joined: 19 Oct 2020
Posts: 49
Own Kudos [?]: 24 [0]
Given Kudos: 11
GMAT 1: 710 Q50 V35
GMAT 2: 760 Q50 V42
Manager
Joined: 28 Jul 2020
Posts: 73
Own Kudos [?]: 15 [0]
Given Kudos: 43
Re: In a group, the ratio of the number of women to the number of children [#permalink]
I took my time with this question. I'd be really grateful if anyone could spill some secrets on how they did it under 2 minutes. MartyTargetTestPrep avigutman VeritasKarishma Bunuel

So:
Info:
women to the number of children/ W:C = 7:2

(1) The ratio of the number of children to the number of men is 3:5.
C:M = 3:5
we are given more ratio information w/o any absolute values, so insufficient. (Eliminate A,D)
(2) The number of children in the group is between 10 and 15.
The number of children is either 11,12,13, or 14
but from the info of the question, we know that the children are 2x. This means we can eliminate the odd numbers (i.e. 11,13)
here we are can solve no. of children to be either 6 or 7.
Insufficient as we are not getting a certain answer. Eliminate B.

Combining 1&2:
C:M = 3:5
No of children = 12 or 14

solving for both:
3x = 12
x= 12/3=4 (valid)

3x=14 (not divisible)

So the number of children is 12 and the multiplying factor is 3.

Do let me know if there is any error/disconnect. Thanks!
Tutor
Joined: 17 Jul 2019
Posts: 1301
Own Kudos [?]: 2220 [3]
Given Kudos: 66
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Re: In a group, the ratio of the number of women to the number of children [#permalink]
2
Kudos
1
Bookmarks
ritzu wrote:

(2) The number of children in the group is between 10 and 15.
The number of children is either 11,12,13, or 14
but from the info of the question, we know that the children are 2x. This means we can eliminate the odd numbers (i.e. 11,13)
here we are can solve no. of children to be either 6 or 7.
Insufficient as we are not getting a certain answer. Eliminate B.

“Between 10 and 15” may or may not include 10 and 15. The fact that they didn’t bother stating “inclusive” or “exclusive” implies that in this case it’s irrelevant. You’re correct that odd values can be eliminated. But a faster way to rule out sufficiency with this statement is the fact that we have no info about men, and the question is asking about men. I get the sense that you may have forgotten what exactly the question asked for.

ritzu wrote:
Combining 1&2:
C:M = 3:5
No of children = 12 or 14

solving for both:
3x = 12
x= 12/3=4 (valid)

3x=14 (not divisible)

So the number of children is 12 and the multiplying factor is 3.

We now have children represented by 2 ratio units in the free info and by 3 ratio units in statement 1, so we can conclude that the actual number of children is a multiple of 6. There’s only one multiple of 6 between 10 and 15, so we can now find any actual number we want. Men, women, or children.

Posted from my mobile device
Manager
Joined: 28 Jul 2020
Posts: 73
Own Kudos [?]: 15 [0]
Given Kudos: 43
Re: In a group, the ratio of the number of women to the number of children [#permalink]
avigutman wrote:
ritzu wrote:

(2) The number of children in the group is between 10 and 15.
The number of children is either 11,12,13, or 14
but from the info of the question, we know that the children are 2x. This means we can eliminate the odd numbers (i.e. 11,13)
here we are can solve no. of children to be either 6 or 7.
Insufficient as we are not getting a certain answer. Eliminate B.

“Between 10 and 15” may or may not include 10 and 15. The fact that they didn’t bother stating “inclusive” or “exclusive” implies that in this case it’s irrelevant. You’re correct that odd values can be eliminated. But a faster way to rule out sufficiency with this statement is the fact that we have no info about men, and the question is asking about men. I get the sense that you may have forgotten what exactly the question asked for.

ritzu wrote:
Combining 1&2:
C:M = 3:5
No of children = 12 or 14

solving for both:
3x = 12
x= 12/3=4 (valid)

3x=14 (not divisible)

So the number of children is 12 and the multiplying factor is 3.

We now have children represented by 2 ratio units in the free info and by 3 ratio units in statement 1, so we can conclude that the actual number of children is a multiple of 6. There’s only one multiple of 6 between 10 and 15, so we can now find any actual number we want. Men, women, or children.

Posted from my mobile device

avigutman, Thank you for replying! It makes sense to me now. It's great getting your input especially after binging your videos on Ratios haha!
Tutor
Joined: 16 Oct 2010
Posts: 14891
Own Kudos [?]: 65337 [4]
Given Kudos: 431
Location: Pune, India
In a group, the ratio of the number of women to the number of children [#permalink]
3
Kudos
1
Bookmarks
Bunuel wrote:
In a group, the ratio of the number of women to the number of children is 7:2. What is the number of men in the group?

(1) The ratio of the number of children to the number of men is 3:5.
(2) The number of children in the group is between 10 and 15.

W:C = 7:2
We need the number of men.

(1) The ratio of the number of children to the number of men is 3:5.

C:M = 3:5.
This tells us that W:C:M = 21:6:10
But it doesn't give us the actual number of men. So not sufficient alone.

(2) The number of children in the group is between 10 and 15.
No info on men.

Using both, W:C:M = 21:6:10 and number of children is between 10 and 15. From the ratio, we know that number of children must be a multiple of 6. There is only one value that is a multiple of 6 between 10 and 15 and that is 12. So number of children must be 12. So multiplier will be 2 and number of men will be 20.

and this post: https://anaprep.com/arithmetic-ratios-t ... ll-starts/
for a discussion on ratios.

Originally posted by KarishmaB on 20 Dec 2021, 23:40.
Last edited by KarishmaB on 08 Aug 2023, 04:37, edited 1 time in total.
Non-Human User
Joined: 09 Sep 2013
Posts: 33057
Own Kudos [?]: 828 [0]
Given Kudos: 0
Re: In a group, the ratio of the number of women to the number of children [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: In a group, the ratio of the number of women to the number of children [#permalink]
Moderator:
Math Expert
93334 posts