Last visit was: 17 Jul 2025, 12:22 It is currently 17 Jul 2025, 12:22
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
rxs0005
Joined: 07 Jun 2004
Last visit: 21 Jun 2017
Posts: 436
Own Kudos:
3,122
 [13]
Given Kudos: 22
Location: PA
Posts: 436
Kudos: 3,122
 [13]
3
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 17 Jul 2025
Posts: 102,603
Own Kudos:
742,255
 [8]
Given Kudos: 98,220
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,603
Kudos: 742,255
 [8]
2
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
General Discussion
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 17 Jul 2025
Posts: 102,603
Own Kudos:
Given Kudos: 98,220
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,603
Kudos: 742,255
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
RajKomanapalli
Joined: 26 Jun 2017
Last visit: 18 Jul 2020
Posts: 20
Own Kudos:
14
 [2]
Given Kudos: 15
Posts: 20
Kudos: 14
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMO : E

I think the easiest way to solve these is to convert them to percentages

1/2 becomes 50
13/20 becomes 65
7/10 becomes 70
3/4 becomes 75
4/5 becomes 80

so our options are

1. 50 to 65 Difference : 15
2. 65 to 70 Difference : 5
3. 70 to 75 Difference : 5
4. 75 to 80 Difference : 5
5. 80 to 100 Difference : 20

largest diff is option E
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 17 Jul 2025
Posts: 8,350
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy)
GMAT Focus 1: 545 Q79 V79 DI73
Posts: 8,350
Kudos: 4,830
Kudos
Add Kudos
Bookmarks
Bookmark this Post
rxs0005
If a number between 1 and 1/2 is selected at random which of the following will the number most likely be between

A. 1/2 and 13/20
B. 13/20 and 7/10
C. 7/10 and 3/4
D. 3/4 and 4/5
E. 4/5 and 1

number is selected from values 0.5 to 1
possible range would be 4/5 and 1
option e
User avatar
Gauravji21
Joined: 27 Aug 2020
Last visit: 25 Jan 2024
Posts: 82
Own Kudos:
Given Kudos: 21
Posts: 82
Kudos: 40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
rxs0005
if a number between 1 and 1/2 is selected at random which of the following will the number most likely be between


1/2 and 13/20
13/20 and 7/10
7/10 and 3/4
3/4 and 4/5
4/5 and 1

Basically the question asks which range is bigger.

Common denominator of all factions is 40, so let's put them over a common denominator and look at the ranges of denominators.

A. 20-26 --> difference 6;
B. 26-28 --> difference 2;
C. 28-30 --> difference 2;
D. 30-32 --> difference 2;
E. 32-40 --> difference 8.

Answer: E.

Common denominator can be 20 also. LCM of all the denominators. Any multiple of LCM will work. - 40, 60 , 80 ..etc
User avatar
Gauravji21
Joined: 27 Aug 2020
Last visit: 25 Jan 2024
Posts: 82
Own Kudos:
Given Kudos: 21
Posts: 82
Kudos: 40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110
rxs0005
If a number between 1 and 1/2 is selected at random which of the following will the number most likely be between

A. 1/2 and 13/20
B. 13/20 and 7/10
C. 7/10 and 3/4
D. 3/4 and 4/5
E. 4/5 and 1

number is selected from values 0.5 to 1
possible range would be 4/5 and 1
option e

Archit3110
What was your approach for fast calculation?
User avatar
kntombat
User avatar
Retired Moderator
Joined: 28 Feb 2020
Last visit: 19 Jan 2023
Posts: 905
Own Kudos:
Given Kudos: 839
Location: India
WE:Other (Other)
Posts: 905
Kudos: 517
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I still didn't understand this question... Could yashikaaggarwal, MathRevolution, Bunuel help me out ?
User avatar
yashikaaggarwal
User avatar
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 17 Jul 2025
Posts: 3,095
Own Kudos:
Given Kudos: 1,510
Location: India
GPA: 4
WE:Analyst (Internet and New Media)
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kntombat
I still didn't understand this question... Could yashikaaggarwal, MathRevolution, Bunuel help me out ?

See, we are told to find the chances of a value lying in between 1 and 0.5
the probability of getting a number in between 1 and 0.5 is 1/50
so we have 50 such numbers to get in between 1 and 0.5
the maximum options we have to select from the more chances we have to get the number in between 1 and 1/2
Going by options:

A values lie in between 1/2 and 13/20
that is 0.5 and 0.65
the probability of getting a number in between 0.5 and 0.65 is 1/15 (15 numbers)

B values lie in between 13/20 and 7/10
that is 0.65 and 0.7
the probability of getting a number in between 0.65 and 0.7 is 1/5 (5 numbers)

C values lie in between 7/10 and 3/4
that is 0.7 and 0.75
the probability of getting a number in between 0.7 and 0.75 is 1/5 (5 numbers)

D values lie in between 3/4 and 4/5
that is 0.75 and 0.8
the probability of getting a number in between 0.75 and 0.8 is 1/5 (5 numbers)

E values lie in between 4/5 and 1
that is 0.8 and 1
the probability of getting a number in between 0.8 and 1 is 1/20 (20 numbers)

The maximum probability of getting a number in between 0.5 and 1 is 20 numbers
because if you select rest options there will be less numbers in the set to select from.
E option have the most numbers we can select from
Hence Answer is E
User avatar
Basshead
Joined: 09 Jan 2020
Last visit: 07 Feb 2024
Posts: 927
Own Kudos:
Given Kudos: 432
Location: United States
Posts: 927
Kudos: 287
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I find the easiest way is to convert the fractions into LCM of 20.

A) 10/20 - 13/20
B) 13/20 - 14/20
C) 14/20 - 15/20
D) 15/20 - 16/20
E) 16/20 - 20/20

We can see here that E covers the widest range within 1 to 1/2. Answer is E.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,439
Own Kudos:
Posts: 37,439
Kudos: 1,013
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:
Math Expert
102603 posts
PS Forum Moderator
697 posts