spanish or french

P(F) is only french
P(S) is only Spanish

P(F)+P(S)+P(F and S) = 300
P(S) =100

P (F and S) =?

first statement:
P(S) + P(F and S) = 240
Also, We know that P(S)=100
Hence, P(F and S) = 140
SUFFICIENT

Second Statement:
P(S)+P(F and S) = 240
Same equation as above.
Hence Sufficient.

pick D

Last edited by kvcpk on Sat Jul 10, 2010 12:17 am, edited 1 time in total.

Quote

GMAT/MBA Expert

Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pm; Location: Milpitas, CA; Thanked: 447 times; Followed by:88 members

by Rahul@gurome » Fri Jul 09, 2010 11:54 pm

Let f students study French only and b study both French and Spanish.

(1) Students who study French only = 60
We are given that students who study Spanish only = 100
Total students = 300
Therefore, 300 = f + b + 100 implies 300 = 60 + b + 100 implies b = 300 - 160 = 140

So, (1) is SUFFICIENT.

(2) Given b + 100 = 240 implies b = 240 - 100 = 140
So, (2) is SUFFICIENT.

The correct answer is (D).

Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)

Quote

outreach: Legendary Member; Posts: 748; Joined: Sun Jan 31, 2010 7:54 am; Thanked: 46 times; Followed by:3 members

by outreach » Sat Jul 10, 2010 5:59 am

-------------------------------------
--------------------------------------
General blog
https://amarnaik.wordpress.com
MBA blog
https://amarrnaik.blocked/