In a survey of 200 college graduates, 30 percent said they had received student loans
during their college careers, and 40 percent said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor
scholarships during their college careers?
(1) 25 percent of those surveyed said that they had received scholarships but no loans.
(2) 50 percent of those surveyed who said that they had received loans also said that
they had received scholarships.
Percentage
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 shovan85
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IMO D
L = 30% of 200 = 60
S = 40% of 200 = 80
1. 25% of 200 = 50 had S but no L
So the number of students have both = 80  50 = 30
Students who neither have Scholarship nor Loan = 200  (60+80  30) = 90 Suff
2. 50% of L said they dont have S = 50% of 60 = 30
Number of students have only Loans = 30
So the number of students have both = 60  30 = 30
Again it will be Sufficient.
L = 30% of 200 = 60
S = 40% of 200 = 80
1. 25% of 200 = 50 had S but no L
So the number of students have both = 80  50 = 30
Students who neither have Scholarship nor Loan = 200  (60+80  30) = 90 Suff
2. 50% of L said they dont have S = 50% of 60 = 30
Number of students have only Loans = 30
So the number of students have both = 60  30 = 30
Again it will be Sufficient.

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 shovan85
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For two sets Total = A + B  (A intersect B)blaster wrote:can someone write down the formula for Venn diagram type questions?
A+B+ bothneither?
A, B and C are 3 sets intersecting each other. Then
Total number = A + B + C  (A intersection B)  (B intersection C)  (C intersection A) + 2 (A intersect B intersect C)