GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Oct 2019, 13:03

### 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

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

# After his first semester in college, Thomas is applying for a scholars

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58381
After his first semester in college, Thomas is applying for a scholars  [#permalink]

### Show Tags

07 Oct 2014, 09:27
3
4
00:00

Difficulty:

5% (low)

Question Stats:

87% (02:07) correct 13% (02:02) wrong based on 145 sessions

### HideShow timer Statistics

Tough and Tricky questions: Statistics

After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 5 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?

Point Values of Select Grades
Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 | 3.7 | 3.3 | 3 | 2.7 | 2.3 | 2 | 1.7

(A) A
(B) B+
(C) B
(D) B-
(E) C+

_________________
Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 300
Re: After his first semester in college, Thomas is applying for a scholars  [#permalink]

### Show Tags

07 Oct 2014, 09:52
2
2
Required total points = 3.5*5=17.5

Actual total points (4 subjects) = 2*3.7 + 3.3 + 3
= 13.7

Required total points for the last subject = 17.5 - 13.7
= 3.8

Has to be Grade A. (A-, 3.7 GPA, wont be enough to get an overall minimum GPA of 3.5 for the 5 subjects)
Manager
Joined: 02 Jul 2012
Posts: 183
Location: India
Schools: IIMC (A)
GMAT 1: 720 Q50 V38
GPA: 2.6
WE: Information Technology (Consulting)
After his first semester in college, Thomas is applying for a scholars  [#permalink]

### Show Tags

07 Oct 2014, 10:33
4
Bunuel wrote:

Tough and Tricky questions: Statistics

After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 5 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?

Point Values of Select Grades
Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 | 3.7 | 3.3 | 3 | 2.7 | 2.3 | 2 | 1.7

(A) A
(B) B+
(C) B
(D) B-
(E) C+

Score Received Variation from 3.5
3.7 +.2
3.7 +.2
3.3 -.2
3 -.5

So, total variation = -.3
Thus he needs 3.5 + .3 = 3.8 to get scholarship.

Thus he requires A (4) since A- will give only 3.7

Ans. A
_________________
Give KUDOS if the post helps you...
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1749
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: After his first semester in college, Thomas is applying for a scholars  [#permalink]

### Show Tags

07 Oct 2014, 23:17
1
Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 | 3.7 | 3.3 | 3 | 2.7 | 2.3 | 2 | 1.7

7.4 + 3.3 + 3 + x = 3.5 * 5

x = 17.5 - 13.7 = 3.8

Grade A is required to qualify

_________________
Kindly press "+1 Kudos" to appreciate
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15262
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: After his first semester in college, Thomas is applying for a scholars  [#permalink]

### Show Tags

27 Mar 2018, 11:10
Hi All,

Most Test Takers would treat this prompt as an "Average Formula" question, which is absolutely fine. As an alternative, here's a way to solve this problem without using the Average Formula:

The five "grades" are 3.7, 3.7, 3.3, 3.0 and X

To get an overall average of 3.5 or higher, we can "balance out" the values and figure out what the 5th value must be:

3.7 (.2 above)
3.7 (.2 above)
3.3 (.2 below)
3.0 (.5 below)

With these 4 values, 3.7 and 3.3 are the same "distance" away from the 3.5; the other 3.7 doesn't offset the 3.0 "enough" (the net effect is still .3 below); thus, the X value has to be high enough above 3.5 to "make up for" the .3 below. The X would have to be at least 3.8…

The only Grade that accomplishes that is an A Grade.

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Non-Human User
Joined: 09 Sep 2013
Posts: 13210
Re: After his first semester in college, Thomas is applying for a scholars  [#permalink]

### Show Tags

03 Oct 2019, 08:36
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.
_________________
Re: After his first semester in college, Thomas is applying for a scholars   [#permalink] 03 Oct 2019, 08:36
Display posts from previous: Sort by

# After his first semester in college, Thomas is applying for a scholars

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

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