Bunuel
If 8 skiers raced down a course multiple times in one day, and each skier used a different pair of skis on each run, what is the total number of different skis used by the 8 skiers during the day?
(1) No skier shared any skis with any other skier.
(2) Each skier made exactly 12 runs during the day.
Target question: What is the total number of different skis used by the 8 skiers during the day? Given: 8 skiers raced down a course multiple times in one day, and each skier used a different pair of skis on each run Statement 1: No skier shared any skis with any other skier. We aren't given any information about the NUMBER of runs each skier made.
So,
there's no way to know how many different skis were used.
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Each skier made exactly 12 runs during the day. Great, so the 8 skiers made 12 runs each.
(8)(12) = 96, so there were 96 runs in TOTAL.
However, it's possible that the skiers were sharing skis between runs.
As such,
there's no way to know how many different skis were used.
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 2 tells us that there were 96 runs in TOTAL
Statement 1 tells us that no skis were shared.
So, we can conclude that
96 different skis were used.
Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer =
Cheers,
Brent