Bunuel wrote:
If Alex and Keanu received the same total number of attempts during a two-day archery competition, did Alex hit more bull's-eyes than Keanu did?
(1) On the first day, Alex hit bull's-eyes on a higher percentage of shots than Keanu did.
(2) On the second day, Alex hit bull's-eyes on a higher percentage of shots than Keanu did.
We are given that Alex and Keanu received the same total number of attempts during a two-day archery competition and need to determine whether Alex hit more bull's-eyes than Keanu did.
Statement One Alone:
On the first day, Alex hit bull's-eyes on a higher percentage of shots than Keanu did.
Without having any information regarding the number of bull’s-eyes hit on day two, we cannot answer the question. Statement one is not sufficient to answer the question.
Statement Two Alone:
On the second day, Alex hit bull's-eyes on a higher percentage of shots than Keanu did.
Without having any information regarding the number of bull’s-eyes hit on day one, we cannot answer the question. Statement two is not sufficient to answer the question.
Statements One and Two Together:
Using the information from statements one and two, we still cannot answer the question.
For instance, let's say Alex hit on 9 of 10 attempts (90%) on day one and 8 of 10 attempts (80%) on day 2 while Keanu hit on 8 of 10 attempts (80%) on day 1 and 7 of 10 attempts (70%) on day 2. In that scenario, Alex would have hit more bull’s-eyes than Keanu did [Alex’s 17 hits in 20 attempts (85%) in two days vs. Keanu’s 15 hits in 20 attempts (75%) in two days].
However, if Alex hit on 20 of 200 attempts (10%) on day one and 90 of 100 attempts (90%) on day 2 while Keanu hit on 9 of 100 attempts (9%) on day 1 and 171 of 200 attempts (85.5%) on day 2, then Keanu would have hit more bull’s-eyes than Alex did [Keanu’s 180 hits in 300 attempts (60%) in two days vs. Alex’s 110 hits in 300 attempts (~36%) in two days].
Answer: E
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