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06 Sep 2021, 06:11
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Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes or dislikes brussels sprouts. Of these students, 2/3 dislike lima beans; and of those who dislike lima beans, 3/5 also dislike brussels sprouts. How many of the students like brussels sprouts but dislike lima beans?
(1) 120 students eat in the cafeteria
No of students who dislike lima beans = 2/3 * 120 = 80
Out of this 80 students who dislike lima beans, no of students who dislike brussels sprouts = 3/5 * 80 = 48
That means, 80 - 48 = 32 students are there who like brussels sprouts but dislike lima beans
Hence, statement 1 is sufficient.
(2) 40 of the students like lima beans
2/3 of the students dislike lima beans means that 1/3 of the students like lima beans.
From statement 2, we can say that 1/3 of total students = 40 ==> Total no of students =40*3 = 120 which is same info as Statement 1.
Hence sufficient.
Option D is the answer.
Thanks,
Clifin J Francis
(1) 120 students eat in the cafeteria
No of students who dislike lima beans = 2/3 * 120 = 80
Out of this 80 students who dislike lima beans, no of students who dislike brussels sprouts = 3/5 * 80 = 48
That means, 80 - 48 = 32 students are there who like brussels sprouts but dislike lima beans
Hence, statement 1 is sufficient.
(2) 40 of the students like lima beans
2/3 of the students dislike lima beans means that 1/3 of the students like lima beans.
From statement 2, we can say that 1/3 of total students = 40 ==> Total no of students =40*3 = 120 which is same info as Statement 1.
Hence sufficient.
Option D is the answer.
Thanks,
Clifin J Francis
10 Mar 2022, 07:44
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dimitri92
Answer: Option D
Step-by-Step Video solution by GMATinsight
09 Apr 2022, 00:03
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we only know about 2/3 of the students , what they like and dislike but we don't know about the rest 1/3 of the students. In 1/3rd students , there could be students who like sprouts only or who like brussels only or who like them both. So as per my understanding none of the options are sufficient
