OG 12 127

Expert replies

vineetbatra: Master | Next Rank: 500 Posts; Posts: 355; Joined: Thu Feb 19, 2009 12:42 pmFollowed by: 1 member; Thanked: 2 times

by vineetbatra » Thu Jan 14, 2010 4:48 pm

In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?

(1) Of the 300 students, 60 do not study Spanish.

(2) A total of 240 of the students study Spanish.

I solved this question using the m atrix table method, but I could not get the correct answer, can someone

F NF Total
S ? ? 240
NS ? ? 60
Total 300 100 300

Like this post

Source: Beat The GMAT — Data Sufficiency | Thu Jan 14, 2010 4:48 pm

mehravikas: Legendary Member; Posts: 1161; Joined: Mon May 12, 2008 2:52 amFollowed by: 1 member; Location: Sydney; Thanked: 23 times

by mehravikas » Thu Jan 14, 2010 6:20 pm

Is the answer B?

Like this post

akalpita: Newbie | Next Rank: 10 Posts; Posts: 7; Joined: Wed Nov 18, 2009 2:58 pm

by akalpita » Thu Jan 14, 2010 7:08 pm

In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?

(1) Of the 300 students, 60 do not study Spanish.

(2) A total of 240 of the students study Spanish.

Solution:

French = F
Spanish = S
Both = B

F + S + B = 300

S = 100

so, F + B = 200
B = ?

1. 60 do not study Spanish i.e., stydy French
F = 60
Thus, B = 200 - 60 = 140

2. Total of 240 study Spanish i.e., S + B = 240
And S = 100
So, B = 240 - 100 = 140

So, D. Each statement alone is sufficient to answer the question.

Like this post

sreak1089: Master | Next Rank: 500 Posts; Posts: 379; Joined: Wed Jun 03, 2009 3:05 amFollowed by: 1 member; Thanked: 19 times; GMAT Score:690

by sreak1089 » Fri Jan 15, 2010 1:06 am

Information Given:

300 students study French or Spanish or both. None study Neither of the two.
100 students do not study French, means, they study only Spanish.

We need to find how many study both.

We know that 300 = Only French + Only Spanish + Both
=> 300 = Only French + 100 + Both
=> 200 = Only French + Both. --> (A)

1) 60 do not study Spanish. => 60 Study Only French. Subsitituting in (A), we have
Both = 200 - 60 = 140.

Thus, 1) is SUFFICIENT.

2) A total of 240 of the students study spanish.

=> 240 = Only Spanish + Both
=> 240 = 100 + Both
=> Both = 140

Thus, 2) is SUFFICIENT.

Hence, D.

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review