Last visit was: 19 Nov 2025, 16:04 It is currently 19 Nov 2025, 16:04
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
Close
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
Your Progress

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,390
Own Kudos:
778,368
 [20]
Given Kudos: 99,977
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,390
Kudos: 778,368
 [20]
A total of 774 doctorates in mathematics were granted to United States 15 Dec 2014, 09:07
1
Kudos
Add Kudos
18
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

65% (03:00) correct 35% (02:47) wrong based on 403 sessions

History

Date
Time
Result
Not Attempted Yet
A total of 774 doctorates in mathematics were granted to United States citizens by American universities in the 1972-1973 school year, and W of these doctorates were granted to women. The total of such doctorates in the 1986-1987 school year was 362, and w of these were granted to women. If the number of doctorates in mathematics granted to female citizens of the United States by American universities decreased from the 1972-1973 school year to the 1986-1987 school year, was the decrease less than 10 percent?

(1) 1/10 < W/774 < 1/9
(2) W = w + 5
ShowHide Answer
Official Answer
C
User avatar
uday1409
User avatar
Joined: 14 Dec 2014
Last visit: 23 Apr 2015
Posts: 42
Own Kudos:
111
 [4]
Given Kudos: 14
Location: India
Concentration: Technology, Finance
GPA: 3.87
WE:Programming (Computer Software)
Posts: 42
Kudos: 111
 [4]
A total of 774 doctorates in mathematics were granted to United States 15 Dec 2014, 11:14
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
No info on w so insufficient
2. Many such combinations possible with some greater than 10% or less than 10%
Insufficient


1+2>>> From 1, we have W between 77.4 and 85(excluded). So W can take 78 79 ...84 values...for each W there is w less than 5.
So we have the boundaries for decrease in percentage as 5/78 and 5/84. Which are less than 10%.
So ans is C
User avatar
ramlala
User avatar
Joined: 22 Aug 2020
Last visit: 13 Dec 2022
Posts: 469
Own Kudos:
382
Given Kudos: 30
Location: India
Concentration: International Business, Finance
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Said
GPA: 4
WE:Project Management (Energy)
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Said
Posts: 469
Kudos: 382
A total of 774 doctorates in mathematics were granted to United States 01 May 2021, 09:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Tough and Tricky questions: Word Problems.



A total of 774 doctorates in mathematics were granted to United States citizens by American universities in the 1972-1973 school year, and W of these doctorates were granted to women. The total of such doctorates in the 1986-1987 school year was 362, and w of these were granted to women. If the number of doctorates in mathematics granted to female citizens of the United States by American universities decreased from the 1972-1973 school year to the 1986-1987 school year, was the decrease less than 10 percent?

(1) 1/10 < W/774 < 1/9
(2) W = w + 5


Kudos for a correct solution.
Show more

Hi chetan2u Bunuel

Decrease in % does not mean \(\frac{W - w }{ 774} * 100\) ?

Can we not find it from Statement 2 ?
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 15 Nov 2025
Posts: 11,238
Own Kudos:
43,706
 [3]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,238
Kudos: 43,706
 [3]
A total of 774 doctorates in mathematics were granted to United States 01 May 2021, 09:45
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
ramlala
Bunuel

Tough and Tricky questions: Word Problems.



A total of 774 doctorates in mathematics were granted to United States citizens by American universities in the 1972-1973 school year, and W of these doctorates were granted to women. The total of such doctorates in the 1986-1987 school year was 362, and w of these were granted to women. If the number of doctorates in mathematics granted to female citizens of the United States by American universities decreased from the 1972-1973 school year to the 1986-1987 school year, was the decrease less than 10 percent?

(1) 1/10 < W/774 < 1/9
(2) W = w + 5


Kudos for a correct solution.

Hi chetan2u Bunuel

Decrease in % does not mean \(\frac{W - w }{ 774} * 100\) ?

Can we not find it from Statement 2 ?
Show more


We know that the doctorates granted went down from 1972-1973 school year to the 1986-1987 school year.
In terms of variable, it went down from W to w.

We are asked about the decrease. => \(\frac{W-w}{W}*100\).

The numbers 774 and 362 are distractions which have no role in the question. So statement 2 is not sufficient.

(1) \(\frac{1}{10} < \frac{W}{774} < \frac{1}{9}\)

\(\frac{1}{10}=\frac{77.4}{774} < \frac{W}{774} < \frac{1}{9}=\frac{86}{774}\)

So W can be any value from 78 to 85, both inclusive.
Nothing about w.
Insufficient

(2) W = w + 5
W-w=5, but we require value of W in \(\frac{W-w}{W}*100\).

Is \(\frac{W-w}{W}*100<10.......\frac{5}{W}<\frac{1}{10}.......W>50\).

So using statement II, we will have answer yes if W>50, otherwise No.
But we do not know the exact value of W.
Insufficient


Combined
From statement II, the answer will be yes if W>50, and statement I gives range of W greater than 50.
So answer is always yes.
Sufficient

C
User avatar
anirchat
User avatar
Joined: 30 Jun 2024
Last visit: 14 Nov 2025
Posts: 291
Own Kudos:
44
Given Kudos: 323
Posts: 291
Kudos: 44
A total of 774 doctorates in mathematics were granted to United States 25 Mar 2025, 10:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I think this is non-standard.

Decrease in the number of doctorates in mathematics granted to female citizens means :
{((W/100)*774 -(w/100)*360)/774}*100

Why does the question exoect me to consider Decrease as {(W-w)/W}*100

For the second thing to be correct, it should be mentioned clearly as Decrease in %.
Moderators:
Bunuel
Math Expert
105390 posts
kingbucky
496 posts