Last visit was: 17 May 2026, 15:28 It is currently 17 May 2026, 15:28
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 17 May 2026
Posts: 110,522
Own Kudos:
815,420
 [4]
Given Kudos: 106,277
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,522
Kudos: 815,420
 [4]
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
User avatar
ravi1522
Joined: 05 Jan 2023
Last visit: 17 May 2026
Posts: 173
Own Kudos:
113
 [1]
Given Kudos: 5
Location: India
Concentration: General Management, General Management
GMAT Focus 1: 595 Q80 V83 DI76
GMAT 1: 530 Q38 V24
GPA: 7.2
WE:Design (Real Estate)
Products:
GMAT Focus 1: 595 Q80 V83 DI76
GMAT 1: 530 Q38 V24
Posts: 173
Kudos: 113
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Dereno
Joined: 22 May 2020
Last visit: 17 May 2026
Posts: 1,399
Own Kudos:
1,380
 [4]
Given Kudos: 431
Products:
Posts: 1,399
Kudos: 1,380
 [4]
3
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
rohitz98
Joined: 15 Mar 2025
Last visit: 31 Dec 2025
Posts: 89
Own Kudos:
65
 [1]
Given Kudos: 16
Location: India
GMAT Focus 1: 725 Q81 V88 DI89
GMAT 1: 720 Q49 V60
GMAT Focus 1: 725 Q81 V88 DI89
GMAT 1: 720 Q49 V60
Posts: 89
Kudos: 65
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Taking number of widgent in ware house B as 'b'
Number of widgets in warehouse A = 3b
Total widgets = 4b
As 1/15 of widgets in warehouse A is defective, Non defective = 14x3b /15
As 1/20 if widgets in warehouse B is defective, Non defective = 19b/20

Hence total fraction of non defective are 15/16 (Option C)
User avatar
dp1234
Joined: 15 Nov 2021
Last visit: 16 May 2026
Posts: 104
Own Kudos:
Given Kudos: 169
GMAT Focus 1: 665 Q86 V83 DI80
Products:
GMAT Focus 1: 665 Q86 V83 DI80
Posts: 104
Kudos: 72
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
All the widgets manufactured by Company X are stored in two warehouses, A and B. Warehouse A contains three times as many widgets as does warehouse B. If 1/15 of the widgets in warehouse A and 1/20 of the widgets in warehouse B are defective, what fraction of all the widgets are NOT defective?

A. 1/5
B. 1/16
C. 15/16
D. 34/35
E. 74/75

­

Let No of widgets in warehouse A = a and those in warehouse B = b
Then a=3b and Total widgets = a+b = 4b.
Non defective widgets = (1-1/15)a + (1-1/20)b
or a*14/15 + b*19/20
or 3b*14/15 + b*19/20
or b* (56+19)/20
or b*15/4
or 4b* (15/16)

Thus 15/16 fraction of total are non defective.
Moderators:
Math Expert
110522 posts
Tuck School Moderator
852 posts