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08 May 2018, 02:51
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D
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Difficulty:
35%
(medium)
Question Stats:
73% (01:28) correct
27%
(01:38)
wrong
based on 66
sessions
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Not Attempted Yet
[GMAT math practice question]
40% of the students at a school take a math class and 60% of the school’s students take a physics class. What percent of students at the school take a math class, but not a physics class?
1) 25% of students take both a math class and a physics class.
2) 25% of students take a physics class, but do not take a math class.
40% of the students at a school take a math class and 60% of the school’s students take a physics class. What percent of students at the school take a math class, but not a physics class?
1) 25% of students take both a math class and a physics class.
2) 25% of students take a physics class, but do not take a math class.
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08 May 2018, 03:36
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MathRevolution
Lets assume ,
m= % of the students who take only math class
p= % of the students who take only physics class
x= % of the students who take both math & physics class
Thus according to the Q-stem :
\(m+x=40\) .............................eqn A
& \(p+x=60\) .............................eqn B
and we need to find m.
1. \(x= 25\), hence from eqnA we can get m .....................................(Sufficient)
2. \(p= 25\). hence from eqnB we can get x. And then putting the value of x in eqnA we get the value of m..........(Sufficient)
Thus I would go for option D
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08 May 2018, 03:46
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MathRevolution
Let there be 100 students in the school.
If 40% of the students take a math class, P(Only Math) + P(Both) = 40
If 60% of the students take a physics class, P(Only Phy) + P(Both) = 60
1. P(Both) = 25
P(Only Math) = 40 - 25 = 15 (Sufficient)
2. P(Only Phy) = 25
P(Both) = 60 - 25 = 35
Now, P(Only Math) = 40 - 35 = 5 (Sufficient - Option D)
Is it possible for a DS question to have different answers for different statements?
