DS - sets
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The double set matrix approach that is being used by MGMAT is the best suited for set problems...
Here goes my explanation
Let the no of students be x
It is given that 2x/3 students dislike lima beans and of those who dislike lima beans 3/5 dislike brussel sprouts which is given by 3/5(2x/3)=2x...
Now the students who like brussel sprouts & dislike lima beans is given by (2x/3-2x/5)=4x/15
statement 1:
x=120
4x/15=32
sufficient
statement 2:
it is given in the question that 2x/3 dislike lima beans.so thos who like lima beans can be given by x/3
x/3=40
x=120
4x/15=32
sufficient
Hence the ans is D...Let me know if you have any doubts
Here goes my explanation
Let the no of students be x
It is given that 2x/3 students dislike lima beans and of those who dislike lima beans 3/5 dislike brussel sprouts which is given by 3/5(2x/3)=2x...
Now the students who like brussel sprouts & dislike lima beans is given by (2x/3-2x/5)=4x/15
statement 1:
x=120
4x/15=32
sufficient
statement 2:
it is given in the question that 2x/3 dislike lima beans.so thos who like lima beans can be given by x/3
x/3=40
x=120
4x/15=32
sufficient
Hence the ans is D...Let me know if you have any doubts