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If Alex and Keanu received the same total number of attempts during a

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If Alex and Keanu received the same total number of attempts during a  [#permalink]

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New post 24 Apr 2017, 04:29
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38% (01:27) correct 62% (01:12) wrong based on 97 sessions

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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.

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Re: If Alex and Keanu received the same total number of attempts during a  [#permalink]

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New post 24 Apr 2017, 04:47
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Hi,

Statement I: clearly not sufficient, because you know nothing about the second day.

Statement II: clearly not sufficient, because you know nothing about the first day.

Statement I + II: still not sufficient. Consider two extreme cases:
Day 1: Alex hit one bull's-eye out of 1 try. Keanu hit 98 bull's-eyes out of 99 trys.
Day 2: Alex hit one bull's-eyes out of 99 trys. Keanu hit zero bull's-eyes out of 1 try.

Alex has a higher percentage on both days, but he hit less bull's-eyes.
If the number of attempts is equal for Alex and Keanu on both days, Alex will hit more bull's eyes.

Therefore --> (E)

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Re: If Alex and Keanu received the same total number of attempts during a  [#permalink]

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New post 24 Apr 2017, 23:45
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IMO C

since total number of shots are same for both the person. The percentage will give the idea that who score more bulls-eye.

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Re: If Alex and Keanu received the same total number of attempts during a  [#permalink]

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New post 25 Apr 2017, 04:12
varundixitmro2512 wrote:
IMO C

since total number of shots are same for both the person. The percentage will give the idea that who score more bulls-eye.

Thanks


Yes that's what I thought at first, but I could not find a constraint which states that the daily number of attempts has to be the same for Keanu and Alex. I guess the constraint refers to the total number of attempts of the two-day archery competition. (So the number of attempts on Day 1 and Day 2 could vary between Keanu and Alex as long as they are the same in total)

Please correct me if I'm getting this totally wrong.

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New post 25 Apr 2017, 04:50
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.



Percentage usually is misleading

(1) On the first day, Alex hit bull's-eyes on a higher percentage of shots than Keanu did.

Let Alex percentage is 50% and Keanu's is 30%

If Alex has to 10 total attempts, then he got 5
If Keanu has to 100 total attempts, then he got 30

keanu shot more.

If Alex has to 100 total attempts, then he got 50
If Keanu has to 10 total attempts, then he got 3

Alex shot more

Insufficient

(2) On the second day, Alex hit bull's-eyes on a higher percentage of shots than Keanu did.

Use the same example above
Insufficient

Combing 1 & 2

Still 2 cases
Insufficient

Answer: E
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Re: If Alex and Keanu received the same total number of attempts during a  [#permalink]

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New post 13 Jun 2017, 10:24
hoaidanh111 wrote:
If Alex and Keanu received the same total number of attempts during a two-day archery competition, did Alex hit a higher percentage of bull's-eyes than Keanu did across the competition as a whole?
(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.



clearly both are insuff

so will work with together statement

Let on first day Alex got 10 trials and hit 6 of them =60% hit
first day Keanu got 2 trials and hit only 1 of them = 50%

Second day Alex got 1 trial and hit 1 = 100%
so keanu got 9 trials and let he hits 7 of them <100%

Total of two days
Alex score 7/11
Keanu scores 8/11

clearly keanu wins....

But if may also happen that alex got all hits correct on both days
so two possibilities

insuff

Ans E
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Re: If Alex and Keanu received the same total number of attempts during a  [#permalink]

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New post 06 Jul 2017, 17:21
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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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Re: If Alex and Keanu received the same total number of attempts during a   [#permalink] 06 Jul 2017, 17:21
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