Each of the data sufficiency problems below consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts, select the best answer.
If 9 models participated in a certain fashion show featuring coats, how many different coats did they model?
(1) The fashion show lasted 90 minutes.
(2) The ratio of the number of models who participated in the show to the number of different coats modeled was 1 to 7.
A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH Statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient
Answer Key suggests B is correct, but not sure why.
Answers & Comments
Verified answer
The length of the show is irrelevant. The ratio tells you that there were 63 coats (7x9) so 2 is sufficient.
B
B says that 2) is sufficient but 1) is not.
Here's why:
The question asks how many different coats were modelled. The length of the show (90 minutes) would be useful IF we knew how long it took to model one coat. Since we don't it is useless.
The ratio IS useful because we know how many models there are. One model to seven coats means:
9 models*(7 coats / 1 model) = 63 coats in the show
We know that 9 models participated. If we know statement 2, then we know that the ratio of models to coats is 1 to 7. With that ratio, 9 models would be 63 coats.
The length of the show is irrelevant.