Last visit was: 27 Apr 2024, 14:35 It is currently 27 Apr 2024, 14:35

Close

GRE Prep 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 GRE 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
Verbal Expert
Joined: 18 Apr 2015
Posts: 28660
Own Kudos [?]: 33141 [0]
Given Kudos: 25178
Send PM
avatar
Intern
Intern
Joined: 30 Oct 2019
Posts: 29
Own Kudos [?]: 30 [0]
Given Kudos: 0
Send PM
avatar
Intern
Intern
Joined: 20 Nov 2019
Posts: 6
Own Kudos [?]: 1 [0]
Given Kudos: 0
Send PM
avatar
Retired Moderator
Joined: 16 Sep 2019
Posts: 187
Own Kudos [?]: 282 [2]
Given Kudos: 0
Send PM
Re: A certain class of 90 students took a typing proficiency tes [#permalink]
1
1
Carcass wrote:
A certain class of 90 students took a typing proficiency test. The average (arithmetic mean) score of the students who passed the test was 84, and the average score of the students who failed the test was 60. If the average score of all students was 80, how many students passed the test?

A. 15

B. 20

C. 42

D. 70

E. 75


Kudos for the right answer and solution.


avg of pass --------- avg of fail
total avg
84 -------- 60
80
Now we see that if the ratio had been equal, then the avg would have been 72. But, it is more inclined towards pass students, so options A,B,C are eliminated.
Now, 84 is at a distance of 4 from 80 and 60 is at a distance of 20 from 80.

So, the the number of pass students have a weightage of 5 and the total students becomes \(\frac{5}{6}\).90 = 75.

IMO - E
Prep Club for GRE Bot
[#permalink]
Moderators:
Moderator
1085 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne