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GRE - Quantitative Reasoning - Sets

I am still unable to understand the statement. "25 can speak french and 3 speak French or Spanish or both or none can speak spanish and if number of students who speak both is same none,then which of the following could be the number of students who speak both? (A)0 (B)10 (C)15 (D)25 (E)35"
 

Hi Srohit,

 

Can you please type your question in the description rather than title. It is hard to interpret it. You can try using venn diagram to solve the problem.

Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not i (more)

Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?

A : 5%
B : 20 
C : 25
D : 60
E : 75% 

Let Set S consist of students in science and Set B consist of students in band

n(S) = 20

n(B) = 30

n(B) - n(S∩B) = 25

30 - n(S∩B) = 25

n(S∩B) = 5

n(S) - n(S∩B) = 20 - 5 = 15%

% of science students not in club = 15/20 * 100 = 75%

Set X consists of the positive multiples of 5 and set Y consists of odd prime numbers less than 20.If set Z consists of every distinct integer less than 100 that is the product of one element from set X and one element from set Y,then set Z consists of ho (more)

Set X consists of the positive multiples of 5 and set Y consists of odd prime numbers less than 20.If set Z consists of every distinct integer less than 100 that is the product of one element from set X and one element from set Y,then set Z consists of how many elements?

A). 12
B). 14
C). 15
D). 16
E). 18

Set X : {5, 10, 15, 20, 25, 30, 35 . . .}

Set Y : {3, 5, 7, 11, 13, 17, 19}

Set Z : Product of X and Y  less than 100

 

Element in Set X Number of products less than 100
5 7
10 3
15 2
20 1
25 1
30 1
35 0

Total Number of products less than 100 = 15

 

Option C is correct