It is currently 21 Sep 2020, 18:23

### 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

# In a group of adults, the ratio of women to men is 5 to 6, w

Author Message
TAGS:
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2915 [0], given: 394

In a group of adults, the ratio of women to men is 5 to 6, w [#permalink]  19 Aug 2018, 02:59
Expert's post
00:00

Question Stats:

61% (01:13) correct 38% (01:08) wrong based on 62 sessions
In a group of adults, the ratio of women to men is 5 to 6, while the ratio of left-handed people to righthanded people is 7 to 9. Everyone is either left- or right-handed; no one is both.

 Quantity A Quantity B The number of women in the group The number of left-handed people in the group

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Joined: 08 Aug 2018
Posts: 4
Followers: 0

Kudos [?]: 1 [0], given: 3

Re: In a group of adults, the ratio of women to men is 5 to 6, w [#permalink]  20 Aug 2018, 23:33
Any explanation for the same?
Active Member
Joined: 07 Jan 2018
Posts: 694
Followers: 11

Kudos [?]: 769 [3] , given: 88

Re: In a group of adults, the ratio of women to men is 5 to 6, w [#permalink]  08 Sep 2018, 06:57
3
KUDOS
Let us assume there are x numbers of people.
Since this is divided between women and men in the ratio of 5/6 we know that there were x/11 * 5 women.

Similarly, if x number of people are divided into left handed over right handed we have x/16 * 7 left handed people.

since x is a +ve number 5/11 > 7/16
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos

Director
Joined: 22 Jun 2019
Posts: 517
Followers: 4

Kudos [?]: 104 [0], given: 161

Re: In a group of adults, the ratio of women to men is 5 to 6, w [#permalink]  10 Jul 2019, 09:17
sandy wrote:
In a group of adults, the ratio of women to men is 5 to 6, while the ratio of left-handed people to righthanded people is 7 to 9. Everyone is either left- or right-handed; no one is both.

 Quantity A Quantity B The number of women in the group The number of left-handed people in the group

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

The easy way:

w:m= 5:6 total= 11, so only women 5:11,

and left-handed people to right-handed people are 7 to 9. total 16, so only left-handed 7:16.

Now the main calculation, Just divide them, man

Bigger ($$\frac{5}{11}$$) > Smaller ($$\frac{7}{16}$$).

_________________

New to the GRE, and GRE CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL

Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
3rd Party Resource's: All In One Resource's | All Quant Questions Collection | All Verbal Questions Collection | Manhattan 5lb All Questions Collection
Books: All GRE Best Books
Scores: Average GRE Score Required By Universities in the USA
Tests: All Free & Paid Practice Tests | GRE Prep Club Tests
Extra: Permutations, and Combination
Vocab: GRE Vocabulary

GRE Instructor
Joined: 10 Apr 2015
Posts: 3828
Followers: 148

Kudos [?]: 4473 [2] , given: 69

Re: In a group of adults, the ratio of women to men is 5 to 6, w [#permalink]  10 Jul 2019, 09:34
2
KUDOS
Expert's post
sandy wrote:
In a group of adults, the ratio of women to men is 5 to 6, while the ratio of left-handed people to right-handed people is 7 to 9. Everyone is either left- or right-handed; no one is both.

 Quantity A Quantity B The number of women in the group The number of left-handed people in the group

The ratio of women to men is 5 to 6
So, out of every 11 people, 5 are women and 6 are men.
So, 5/11 of the people are women (and 6/11 of the people are men)
If T = the TOTAL number of people, then $$\frac{5}{11}T=$$ the number of women in the group

The ratio of left-handed people to right-handed people is 7 to 9
So, out of every 16 people, 7 are left-handed and 9 are right-handed.
In other words, 7/16 of the people are are left-handed (and 9/16 of the people are are right-handed)
If T = the TOTAL number of people, then $$\frac{7}{16}T=$$ the number of left-handed people in the group

We get:
Quantity A: $$\frac{5}{11}T$$
Quantity B: $$\frac{7}{16}T$$

Since we know T is POSITIVE, we can safely divide both quantities by T to get:
Quantity A: $$\frac{5}{11}$$
Quantity B: $$\frac{7}{16}$$

At this point, it's probably easiest to convert each fraction to a decimal to get:
Quantity A: ≈ 0.45
Quantity B: ≈ 0.44

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.

Re: In a group of adults, the ratio of women to men is 5 to 6, w   [#permalink] 10 Jul 2019, 09:34
Display posts from previous: Sort by