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anirudhbhalotia
- Master | Next Rank: 500 Posts
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What you need is a way to organize the information so your brain keeps cool. What we have here is a sets table question, solvable by a 3*3 grid: put like/dislike lima in the columns, like/dislike Brussels sprouts in the rows, and don't forget a total column and row. Then organize the information in the question stem and statements, clearly mark which box you need to find, and see if the information you have allows you to reach that box.
The attached file shows the tables for stat. (1) and (2).
Stat. (1) is sufficient because you can reach the like BS / dislike Lima box:
120 total / total students.
2/3 of those dislike Lima = 80 (goes in Dislike Lima / Total)
3/5 of the 80 also dislike BS = 48 (goes in dislike Lima / dislike BS)
The remaining 32 are the required dislike Lima / like BS, so stat. (1) is sufficient.
Stat. (2) is also sufficient: if 40 of the students like Lima, and we know that 2/3 of the students dislike Lima, then the 40 lima likers constitute the remaining 1/3 of the students. if 40 is 1/3 of the total/total (marked as X), then the total students is 3*40 = 120 - and the rest is the same as stat. (1). The two statements basically say the same thing.
