IMO B
Let the number of students studying P is p and T is t
Let the number of students studying neither is n
so we have 240 - n = p + t - 60
300 - n = p + t
n = 300 - (p + t)
a: p>t. put p = 200, t = 99. n = 1
put p = 60, t = 60. n = 180
insufficient
b: p = 101.
minimum value of t is 60 (since 60 are studying both P and T)
n <= [300-(101+60)]
n <= 139
sufficient
What is the OA
Hope this helps
students
This topic has expert replies
Source: Beat The GMAT — Data Sufficiency |
-
Stuart@KaplanGMAT
- GMAT Instructor
- Posts: 3225
- Joined: Tue Jan 08, 2008 2:40 pm
- Location: Toronto
- Thanked: 1710 times
- Followed by:614 members
- GMAT Score:800
let's try this with less math!ketkoag wrote:Of the 240 students, 60 are studying both P and T. Is the number of the students who are studying neither of them greater than 140?
1) The number of the students studying P is greater than the students studying T
2) 101 students are studying P.
1) P > T
Let's look at two extreme possibilities:
P=61, T=60
and
P = 240, T=60
In the first case, we have 240-61 = 179 people studying neither.
In the second case, we have 240-240 = 0 people studying neither.
Is the number of people studying neither greater than 140? Sometimes yes, sometimes no: insufficient.
2) P = 101
If P = 101, then the maximum number of people who studied neither is 240-101 = 139. Is the number of students who studied neither greater than 140? Definitely not: sufficient.
(2) is sufficient, (1) is not: choose (B)
Stuart Kovinsky | Kaplan GMAT Faculty | Toronto
Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course
