Data Sufficiency

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.

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.

Thanks.
I also helped to clear my basic concepts

can someone write down the formula for Venn diagram type questions?

A+B+ both-neither?

blaster wrote:can someone write down the formula for Venn diagram type questions?

A+B+ both-neither?

For two sets Total = A + B - (A intersect B)

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)

I feel the answer is D.