BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Six countries in a certain region sent a total of 75

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2599
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

Six countries in a certain region sent a total of 75

by AAPL » Wed Nov 21, 2018 5:21 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

GMAT Prep

Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?

(1) One of the six countries sent 41 representatives to the Congress.
(2) Country A sent fewer than 12 representatives to the Congress.

OA E.
Top
Source: — Data Sufficiency |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Wed Nov 21, 2018 9:30 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

AAPL wrote:GMAT Prep

Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?

(1) One of the six countries sent 41 representatives to the Congress.
(2) Country A sent fewer than 12 representatives to the Congress.
Let the 6 countries be A, B, C, D, E and F.

The question stem asks whether A≥10.
Plug in A=10 (which satisfies statement 2 and is at least 10) and A=9 (which also satisfies statement 2 but is NOT at least 10).
To save time, let F=41, which satisfies statement 1.

Case 1: Total = 75, F=41, A=10.
Remaining representatives for B, C, D and E = 75-41-10 = 24.
The following combination works for B, C, D and E:
B=9
C=8
D=6
E=1.
Thus, it's possible that A=10.

Case 2: Total = 75, F=41, A=9.
Remaining representatives for B, C, D and E = 75-41-9 = 25.
The following combination works for B, C, D and E:
B=8
C=7
D=6
E=4.
Thus, it's possible that A<10.

Since it's possible that A=10 or that A<10, the two statements combined are INSUFFICIENT.

The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Wed Nov 21, 2018 10:44 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

AAPL wrote:GMAT Prep

Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?

(1) One of the six countries sent 41 representatives to the Congress.
(2) Country A sent fewer than 12 representatives to the Congress.

OA E.
Given:

> Total number of reps from 6 countries = 75;
> Country A sent the second greatest number of reps

Question: Did Country A send at least 10 reps?

Let's take each statement one by one.

(1) One of the six countries sent 41 representatives to the Congress.

Since 41 > 75/2, the country, which sent 41 reps, must be the country that sent the greatest number of reps.

Case 1: Say Country A sent 10 reps, thus, the remaining 4 countries, together would have sent 75 - 41 - 10 = 24 reps. This is possible, for example, the four countries sent 9, 8, 6 and 1 reps, respectively. The answer is Yes.

Case 2: Say Country A sent 9 reps, thus, the remaining 4 countries, together would have sent 75 - 41 - 9 = 25 reps. This is possible, for example, the four countries sent 8, 7, 6 and 4 reps, respectively. The answer is No.

No unique answer. Insufficient.

(2) Country A sent fewer than 12 representatives to the Congress.

Both the cases discussed above are applicable here too. So, even combining the two statements will not suffice. Insufficient.

The correct answer: E

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review Madhapur | Hyderabad GMAT Prep | Bangalore GMAT Courses | Himayatnagar GRE Prep | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
Post new topic Post Reply
• Page 1 of 1