Last visit was: 20 Nov 2025, 01:50 It is currently 20 Nov 2025, 01:50
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: 105,408
Own Kudos:
778,438
 [13]
Given Kudos: 99,987
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: 105,408
Kudos: 778,438
 [13]
Perry buys a book that has pages numbered from 1 to 980. He then selec 26 Nov 2019, 01:56
1
Kudos
Add Kudos
12
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:

75% (hard)

Question Stats:

57% (02:27) correct 43% (02:18) wrong based on 260 sessions

History

Date
Time
Result
Not Attempted Yet
Perry buys a book that has pages numbered from 1 to 980. He then selects one of the pages at random. What is the probability that the number of the page he selects is divisible by 7, given that it is divisible by 3?

A. \(\frac{1}{21}\)

B. \(\frac{1}{7}\)

C. \(\frac{23}{163}\)

D. \(\frac{23}{490}\)

E. \(\frac{29}{171}\)


Are You Up For the Challenge: 700 Level Questions
ShowHide Answer
Official Answer
C
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 19 Nov 2025
Posts: 8,422
Own Kudos:
4,982
 [3]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,422
Kudos: 4,982
 [3]
Perry buys a book that has pages numbered from 1 to 980. He then selec 26 Nov 2019, 02:06
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
pages divisble by 3 ; 980/3 ; ~ 326
and LCM of 3,7 = 21 ; ~ 46 pages
P = 46/326 ; 23/163
IMO C


Bunuel
Perry buys a book that has pages numbered from 1 to 980. He then selects one of the pages at random. What is the probability that the number of the page he selects is divisible by 7, given that it is divisible by 3?

A. \(\frac{1}{21}\)

B. \(\frac{1}{7}\)

C. \(\frac{23}{163}\)

D. \(\frac{23}{490}\)

E. \(\frac{29}{171}\)


Are You Up For the Challenge: 700 Level Questions
Show more
avatar
cyryl5
avatar
Joined: 31 Mar 2019
Last visit: 13 Feb 2022
Posts: 10
Own Kudos:
22
Given Kudos: 199
Concentration: Other, Other
GRE 1: Q158 V155
GPA: 3.58
GRE 1: Q158 V155
Posts: 10
Kudos: 22
Perry buys a book that has pages numbered from 1 to 980. He then selec 26 Mar 2020, 19:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The denominator will be 326 and C is the only answer choice that has a factor of 326.
avatar
cyryl5
avatar
Joined: 31 Mar 2019
Last visit: 13 Feb 2022
Posts: 10
Own Kudos:
22
Given Kudos: 199
Concentration: Other, Other
GRE 1: Q158 V155
GPA: 3.58
GRE 1: Q158 V155
Posts: 10
Kudos: 22
Perry buys a book that has pages numbered from 1 to 980. He then selec 26 Mar 2020, 20:04
Kudos
Add Kudos
Bookmarks
Bookmark this Post
So the question states that the page randomly selected is 100% a factor of 3. 326 pages are divisible by 3. To find the total number of pages divisible by 3, do total pages divided by 3 and do not consider the decimal (the decimal just tells you that there is/are numbers that aren't divisible by 3). 980/3 = 326.67 --> 326.

The denominator will be 326 and C is the only answer choice that has a factor of 326.
User avatar
minustark
User avatar
Joined: 14 Jul 2019
Last visit: 01 Apr 2021
Posts: 469
Own Kudos:
398
 [2]
Given Kudos: 52
Status:Student
Location: United States
Concentration: Accounting, Finance
Schools: Zicklin Baruch "22
GMAT 1: 650 Q45 V35
GPA: 3.9
WE:Education (Accounting)
Products:
My Reviews
Schools: Zicklin Baruch "22
GMAT 1: 650 Q45 V35
Posts: 469
Kudos: 398
 [2]
Perry buys a book that has pages numbered from 1 to 980. He then selec 26 Mar 2020, 21:31
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Perry buys a book that has pages numbered from 1 to 980. He then selects one of the pages at random. What is the probability that the number of the page he selects is divisible by 7, given that it is divisible by 3?

A. \(\frac{1}{21}\)

B. \(\frac{1}{7}\)

C. \(\frac{23}{163}\)

D. \(\frac{23}{490}\)

E. \(\frac{29}{171}\)

The pages divisible by both 7 and 3 will have to divisible by 21. There are (980/21)=46 pages that are divisible by 21. The probability is 46/980 = 23/490.

Are You Up For the Challenge: 700 Level Questions
Show more

The pages divisible by both 7 and 3 will have to divisible by 21. There are (980/21)=46 pages that are divisible by 21. The probability is 46/980 = 23/490.
D is the answer.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,594
Own Kudos:
1,079
Posts: 38,594
Kudos: 1,079
Perry buys a book that has pages numbered from 1 to 980. He then selec 19 Dec 2024, 01:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Bunuel
Math Expert
105408 posts
Krunaal
Tuck School Moderator
805 posts