If 30 percent of the members of a certain organization are women and 3/8 of the members of the organization are married men, which of the following statements concerning the membership must be true?
I. The number of women in the organization is greater than the number of married men in the organization.
II. The number of women in the organization is greater than the number of unmarried men in the organization.
III. The number of married men in the organization is greater than the number of unmarried men in the organization.
a. None
b. I only
c. II only
d. III only
e. I and III
Problem Solving
This topic has expert replies
- Jim@StratusPrep
- MBA Admissions Consultant
- Posts: 2279
- Joined: Fri Nov 11, 2011 7:51 am
- Location: New York
- Thanked: 660 times
- Followed by:266 members
- GMAT Score:770
Let's say there are 1000 people
300 are then women (.3 x 1000)
375 are married men (3/8 * 1000)
325 must then be unmarried men (1000- 675)
Only statement III is true.
D
300 are then women (.3 x 1000)
375 are married men (3/8 * 1000)
325 must then be unmarried men (1000- 675)
Only statement III is true.
D
GMAT Answers provides a world class adaptive learning platform.
-- Push button course navigation to simplify planning
-- Daily assignments to fit your exam timeline
-- Organized review that is tailored based on your abiility
-- 1,000s of unique GMAT questions
-- 100s of handwritten 'digital flip books' for OG questions
-- 100% Free Trial and less than $20 per month after.
-- Free GMAT Quantitative Review
-- Push button course navigation to simplify planning
-- Daily assignments to fit your exam timeline
-- Organized review that is tailored based on your abiility
-- 1,000s of unique GMAT questions
-- 100s of handwritten 'digital flip books' for OG questions
-- 100% Free Trial and less than $20 per month after.
-- Free GMAT Quantitative Review
- mcdesty
- Master | Next Rank: 500 Posts
- Posts: 116
- Joined: Wed Mar 14, 2012 1:02 pm
- Thanked: 20 times
- Followed by:11 members
- GMAT Score:760
See Image below.
- Attachments
-
I have made your mistakes before.
I am experienced - I have tutored calculus and linear algebra for over two years.
For a very modest fee, I will ensure that your GMAT journey is a smooth one: Daily assignments and careful micro management.
PM me so we can get started.
I am experienced - I have tutored calculus and linear algebra for over two years.
For a very modest fee, I will ensure that your GMAT journey is a smooth one: Daily assignments and careful micro management.
PM me so we can get started.
GMAT/MBA Expert
- Jeff@TargetTestPrep
- GMAT Instructor
- Posts: 1462
- Joined: Thu Apr 09, 2015 9:34 am
- Location: New York, NY
- Thanked: 39 times
- Followed by:22 members
Let's say the total number of members is 800. Since 30% of the members are women, there are 800(0.3) = 240 women and 800 - 240 = 560 men in the organization. Moreover, 3/8 of the members are married men; therefore, there are 800(3/8) = 300 married men and 560 - 300 = 260 unmarried men in the organization. Let's go over each Roman numeral in light of these figures:mbaonly wrote:If 30 percent of the members of a certain organization are women and 3/8 of the members of the organization are married men, which of the following statements concerning the membership must be true?
I. The number of women in the organization is greater than the number of married men in the organization.
II. The number of women in the organization is greater than the number of unmarried men in the organization.
III. The number of married men in the organization is greater than the number of unmarried men in the organization.
a. None
b. I only
c. II only
d. III only
e. I and III
Roman numeral I: The number of women in the organization is greater than the number of married men in the organization.
Since we found the number of women to be 240 and the number of married men to be 300, we see that Roman numeral I is false.
Roman Numeral II: The number of women in the organization is greater than the number of unmarried men in the organization.
Since we found the number of women to be 240 and the number of unmarried man to be 260, we see that Roman numeral II is false.
Roman Numeral III: The number of married men in the organization is greater than the number of unmarried men in the organization.
We have found that there are 300 married men and 260 unmarried men in the organization; therefore, Roman numeral III is true.
Alternate solution:
Since 30% of the members are women, it must mean 70% of the member are men. Since 3/8 of the members are married men and 3/8 = 37.5%, 37.5% of the members are married men, and thus 70% - 37.5% = 32.5% of the members must be unmarried men.
So, women = 30%, married men = 37.5%, and unmarried men = 32.5%.
Looking at the statements given in the Roman numerals, we see that only III is true.
Answer: D
Jeffrey Miller
Head of GMAT Instruction
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews