BTGModeratorVI wrote: ↑Fri Feb 28, 2020 9:57 am
What fraction of the cookies in a certain bakery’s window display contains nuts?
(1) Of the cookies in the display, 22 contain nuts.
(2) Of the cookies in the display, 90% do not contain nuts.
Answer:
B
Source: Princeton Review
Target question: What fraction of the cookies in the display contains nuts?
Statement 1: Of the cookies in the display, 22 contain nuts.
We have no information about the number of cookies WITHOUT nuts.
So, statement 1 is NOT SUFFICIENT
If you're not convinced, let's consider two possible cases:
Case a: There are 22 cookies WITH nuts and 8 cookies WITHOUT nuts. So, there are 30 cookies in total, and 22 have nuts. In this case, the answer to the target question is
22/30 of the cookies have nuts
Case b: There are 22 cookies WITH nuts and 2 cookies WITHOUT nuts. So, there are 24 cookies in total, and 22 have nuts. In this case, the answer to the target question is
22/24 of the cookies have nuts
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Of the cookies in the display, 90% do not contain nuts
If 90% DON'T have nuts, then 10% DO have nuts.
10% = 10/100 = 1/10
The answer to the target question is
1/10 of the cookies have nuts
Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
