Last visit was: 14 Jul 2026, 14:40 It is currently 14 Jul 2026, 14:40
Home
Messages
Tests
Schools
Events
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: 14 Jul 2026
Posts: 111,929
Own Kudos:
827,453
 [5]
Given Kudos: 109,329
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 111,929
Kudos: 827,453
 [5]
If an integer greater than 100 and less than 1,000 is to be selected 03 Dec 2019, 02:28
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

74% (02:11) correct 26% (02:11) wrong based on 314 sessions

History

Date
Time
Result
Not Attempted Yet
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. \(\frac{142}{999}\)

B. \(\frac{142}{900}\)

C. \(\frac{142}{899}\)

D. \(\frac{128}{900}\)

E. \(\frac{128}{899}\)


Are You Up For the Challenge: 700 Level Questions
ShowHide Answer
Official Answer
E
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 14 Jul 2026
Posts: 8,748
Own Kudos:
5,267
 [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: 8,748
Kudos: 5,267
 [3]
If an integer greater than 100 and less than 1,000 is to be selected 03 Dec 2019, 02:33
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
total integers >100 <1000 ; 999-101+1 = 899
and multiples of 7 <100 ; 14 and <1000 ; 142
so 142-14 ; 128 ;
P = 128/899
IMO E

Bunuel
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. \(\frac{142}{999}\)

B. \(\frac{142}{900}\)

C. \(\frac{142}{899}\)

D. \(\frac{128}{900}\)

E. \(\frac{128}{899}\)


Are You Up For the Challenge: 700 Level Questions
Show more
User avatar
LevanKhukhunashvili
User avatar
Joined: 13 Feb 2018
Last visit: 23 Jan 2021
Posts: 369
Own Kudos:
459
 [3]
Given Kudos: 50
GMAT 1: 640 Q48 V28
GMAT 1: 640 Q48 V28
Posts: 369
Kudos: 459
 [3]
If an integer greater than 100 and less than 1,000 is to be selected 04 Dec 2019, 00:32
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
The number of integers greater than 100 and less than 1,000
(last integer-first integer)+1
(999-101)+1=899

The number of multiple of 7 integers greater than 100 and less than 1,000
\(\frac{{last integer-first integer}}{7 }\)+1
\(\frac{{994-105}}{7}+1=128\)

\(\frac{128}{899}\)

IMO
Ans: E
User avatar
exc4libur
User avatar
Joined: 24 Nov 2016
Last visit: 22 Mar 2022
Posts: 1,678
Own Kudos:
1,486
Given Kudos: 607
Location: United States
Posts: 1,678
Kudos: 1,486
If an integer greater than 100 and less than 1,000 is to be selected 04 Dec 2019, 08:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. \(\frac{142}{999}\)

B. \(\frac{142}{900}\)

C. \(\frac{142}{899}\)

D. \(\frac{128}{900}\)

E. \(\frac{128}{899}\)
Show more

Total cases: 999-101+1=899
Favorable cases are multiples 7 from 101 to 999: (994-105)/7+1=128
Probability: 128/899

Ans (E)
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 14 Jul 2026
Posts: 22,548
Own Kudos:
26,745
 [1]
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,548
Kudos: 26,745
 [1]
If an integer greater than 100 and less than 1,000 is to be selected 09 Dec 2019, 18:52
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. \(\frac{142}{999}\)

B. \(\frac{142}{900}\)

C. \(\frac{142}{899}\)

D. \(\frac{128}{900}\)

E. \(\frac{128}{899}\)


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

The least multiple of 7 greater than 100 is 105. The greatest multiple of 7 less than 1000 is 994.

Thus, the total number of multiples of 7 greater than 100 but less than 1000 is:

(994 - 105)/7 + 1 = 128

The total number of numbers greater than 100 but less than 1000 is 999 - 101 + 1 = 899.

Thus, the probability is 128/899.

Answer: E
User avatar
vasu1104
User avatar
Joined: 10 Feb 2023
Last visit: 14 Jul 2026
Posts: 707
Own Kudos:
387
Given Kudos: 671
Location: Canada
Posts: 707
Kudos: 387
If an integer greater than 100 and less than 1,000 is to be selected 26 Jun 2026, 22:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
total num = (999 - 101) +1 = 899

favorable outcome=
here the first multiple of 7 in the list is 105 and last num will be 994.

so total favorable outcome = (994-105/7) + 1 = 128

so, 128/899

choice E
Bunuel
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. \(\frac{142}{999}\)

B. \(\frac{142}{900}\)

C. \(\frac{142}{899}\)

D. \(\frac{128}{900}\)

E. \(\frac{128}{899}\)


Are You Up For the Challenge: 700 Level Questions
Show more
User avatar
vasu1104
User avatar
Joined: 10 Feb 2023
Last visit: 14 Jul 2026
Posts: 707
Own Kudos:
387
Given Kudos: 671
Location: Canada
Posts: 707
Kudos: 387
If an integer greater than 100 and less than 1,000 is to be selected 26 Jun 2026, 22:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
total num = (999 - 101) +1 = 899

favorable outcome=
here the first multiple of 7 in the list is 105 and last num will be 994.

so total favorable outcome = (994-105/7) + 1 = 128

so, 128/899

choice E
Bunuel
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. \(\frac{142}{999}\)

B. \(\frac{142}{900}\)

C. \(\frac{142}{899}\)

D. \(\frac{128}{900}\)

E. \(\frac{128}{899}\)


Are You Up For the Challenge: 700 Level Questions
Show more
Moderator:
Bunuel
Math Expert
111929 posts