NEW HERE? LEARN MORE
closeclose
Last visit was: 28 Apr 2024, 23:20 It is currently 28 Apr 2024, 23:20
Decision Tracker
My Rewards
New posts
New comers' posts

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

75% of a group of students` grades are greater than 70, and 60% of stu

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
B
Afroditee
Manager
Manager
Joined: 13 Aug 2022
Posts: 98
Own Kudos [?]: 151 [10]
Given Kudos: 178
Send PM
75% of a group of students` grades are greater than 70, and 60% of stu [#permalink] New post   29 Nov 2022, 11:41
1
Kudos
9
Bookmarks
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

64% (02:07) correct 36% (01:58) wrong based on 148 sessions
Hide Show timer Statistics
75% of a group of students` grades are greater than 70, and 60% of students` grades are less than 85, what percent of students` scores are between 70 and 85?

A. 15%

B. 20%

C. 25%

D. 35%

E. 45%
ShowHide Answer
Official Answer
D
User avatar
B
Alamin0160
Intern
Intern
Joined: 26 Aug 2019
Posts: 4
Own Kudos [?]: 4 [1]
Given Kudos: 50
Send PM
Re: 75% of a group of students` grades are greater than 70, and 60% of stu [#permalink] New post   29 Nov 2022, 13:29
1
Kudos
Student got 70 or less than 70 is =100%-75%
= 25%
Student got number less than 85 is 60%.
In which 25% are get 70 or less than 70.
So remaining 60% -25% = 35% got between 70 and 85.
So, option D is right answer.

Posted from my mobile device
User avatar
B
Afroditee
Manager
Manager
Joined: 13 Aug 2022
Posts: 98
Own Kudos [?]: 151 [0]
Given Kudos: 178
Send PM
Re: 75% of a group of students` grades are greater than 70, and 60% of stu [#permalink] New post   05 Dec 2022, 12:02
Alamin0160 wrote:
Student got 70 or less than 70 is =100%-75%
= 25%
Student got number less than 85 is 60%.
In which 25% are get 70 or less than 70.
So remaining 60% -25% = 35% got between 70 and 85.
So, option D is right answer.

Posted from my mobile device

Can it be solved using 2*2 matrix?
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29988 [1]
Given Kudos: 799
Location: Canada
Send PM
Re: 75% of a group of students` grades are greater than 70, and 60% of stu [#permalink] New post   05 Dec 2022, 12:07
1
Kudos
Expert Reply
Top Contributor
Afroditee wrote:
75% of a group of students` grades are greater than 70, and 60% of students` grades are less than 85, what percent of students` scores are between 70 and 85?

A. 15%
B. 20%
C. 25%
D. 35%
E. 45%


Let's first say there are 100 scores.

Given: 75% of the scores were greater than 70.
So, 75 scores are greater than 70.

Given: 60% of the scores were less than 85
This means 40% of the scores were greater than or equal to 85.
So, 40 scores are greater than or equal to 85.

Of the 75 scores that are greater than 70, we know that 40 of them are greater than or equal to 85.
This means the remaining 35 scores must be less than 85.

In other words, 35 scores (i.e., 35%) will be greater than 70 but less than 85.

Answer: D
User avatar
P
wadhwakaran
Senior Manager
Senior Manager
Joined: 31 Mar 2022
Posts: 298
Own Kudos [?]: 205 [1]
Given Kudos: 19
Location: India
Concentration: General Management, International Business
Schools: INSEAD Aug'24 intake Oxford Said'25 Judge '25 Imperial'25 HEC Sep'24 Intake LBS '26 ISB
GMAT 1: 700 Q50 V35
GPA: 2.8
Send PM
Reviews Badge
Re: 75% of a group of students` grades are greater than 70, and 60% of stu [#permalink] New post   05 Dec 2022, 17:09
1
Kudos
Total Students in a class = 100
75% have greater than 70 and 60% have less than 85
Students having marks greater than 70= 75
Students having marks less than 70 = 100-75=25
Students having marks lesser than 85 = 60
Student having marks lesser than 85 can be split into 2 factions i.e. students having marks between 70 t0 85 and students having marks less than 70
60=x+25
x=35
percentage - 35%
User avatar
B
Svinay1992
Intern
Intern
Joined: 30 Sep 2023
Posts: 1
Own Kudos [?]: 1 [1]
Given Kudos: 3
Send PM
75% of a group of students` grades are greater than 70, and 60% of stu [#permalink] New post   28 Dec 2023, 03:50
1
Kudos
Assuming there are 100 students.
Using the number line method we get

____25________70______75___


____60___________85___40___

There are 75 students who have scored greater than 70, and 40 students who have scored greater than 85
Therefore the no. of students who scored between 70 and 85 = 75 - 40 = 35

% of students = 35/100 = 35%

Correct answer option D
GMAT Club Bot
gmatclubot
75% of a group of students` grades are greater than 70, and 60% of stu [#permalink]
28 Dec 2023, 03:50
Moderators:
Bunuel
Math Expert
92977 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions