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Data Sufficiency Pack 2, Question 3) Four raffle 'winners'...

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Data Sufficiency Pack 2, Question 3) Four raffle 'winners'...  [#permalink]

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QUANT 4-PACK SERIES Data Sufficiency Pack 2 Question 3 Four raffle 'winners'...

4 raffle ‘winners’ were each given the opportunity to select one envelope from a group of 4 envelopes and won the amount of money that was written inside the envelope. After each winner selected an envelope and was awarded a prize, a new set of 4 envelopes was offered to the next winner, and so on. If the individual amounts in the envelopes were $1,000, $2,000, $3,000 and $4,000, did any of the winners receive the largest prize?

(1) No two winners received the same prize.
(2) The total prize money awarded was $10,000.


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Re: Data Sufficiency Pack 2, Question 3) Four raffle 'winners'...  [#permalink]

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New post 01 Nov 2015, 18:16
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EMPOWERgmatRichC wrote:
QUANT 4-PACK SERIES Data Sufficiency Pack 2 Question 3 Four raffle 'winners'...

4 raffle ‘winners’ were each given the opportunity to select one envelope from a group of 4 envelopes and won the amount of money that was written inside the envelope. After each winner selected an envelope and was awarded a prize, a new set of 4 envelopes was offered to the next winner, and so on. If the individual amounts in the envelopes were $1,000, $2,000, $3,000 and $4,000, did any of the winners receive the largest prize?

(1) No two winners received the same prize.
(2) The total prize money awarded was $10,000.


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Question asks whether 4000$ was awarded to any winner?

Per statement 1, 4 raffle winners must be awarded 4 different award values. Clearly sufficient.

Per statement 2, total award money = 10000 ---> yes if 4000+3000+2000+1000 but no if 3000+3000+3000+1000. Not sufficient.

A is the correct answer.
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Re: Data Sufficiency Pack 2, Question 3) Four raffle 'winners'...  [#permalink]

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New post 02 Nov 2015, 08:36
Que asking did any1 got largest sum?
Statement 1 says no winner get same amount, prob solved..... whatever the largest award would be, it wont be repeated. so answer to the Que is= yes there must be 1 winner who got largest sum.--- sufficient

Staement 2 gives total, but there can be multiple combinations like 4k+3k+2k+1k or 3k+3k+3k+1k and there still be winner or winners with largest award. so again YES.

option D....think so... but keeping my fingers crossed ;-)
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Re: Data Sufficiency Pack 2, Question 3) Four raffle 'winners'...  [#permalink]

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New post 02 Nov 2015, 12:53
1
St 1:
No two winners received the same prize.

which means, each of them received diff prize. So all the four prizes distributed to each of them. Someone has got the big prize.

This is sufficient.

St 2:
The total prize money awarded was $10,000.

If the winner didn't took the largest prize envelope, but the other envelopes of total 10K.

This is not sufficient.

Ans A.
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Re: Data Sufficiency Pack 2, Question 3) Four raffle 'winners'...  [#permalink]

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New post 03 Nov 2015, 22:38
Dabhishek wrote:
Que asking did any1 got largest sum?
Statement 1 says no winner get same amount, prob solved..... whatever the largest award would be, it wont be repeated. so answer to the Que is= yes there must be 1 winner who got largest sum.--- sufficient

Staement 2 gives total, but there can be multiple combinations like 4k+3k+2k+1k or 3k+3k+3k+1k and there still be winner or winners with largest award. so again YES.

option D....think so... but keeping my fingers crossed ;-)


Hi Dabhishek,

Your thinking and approach to the question were perfect, but you made a small logical mistake when dealing with Fact 2. You came up with two different possible outcomes based on a total of $10,000. In the first example, the largest price WAS awarded, so the answer to the question would be YES. In the second example though, the largest prize was NOT awarded, so the answer to the question would be NO. That is an inconsistent result, so Fact 2 is actually INSUFFICIENT.

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Re: Data Sufficiency Pack 2, Question 3) Four raffle 'winners'...  [#permalink]

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New post 03 Nov 2015, 23:08
EMPOWERgmatRichC wrote:
QUANT 4-PACK SERIES Data Sufficiency Pack 2 Question 3 Four raffle 'winners'...

4 raffle ‘winners’ were each given the opportunity to select one envelope from a group of 4 envelopes and won the amount of money that was written inside the envelope. After each winner selected an envelope and was awarded a prize, a new set of 4 envelopes was offered to the next winner, and so on. If the individual amounts in the envelopes were $1,000, $2,000, $3,000 and $4,000, did any of the winners receive the largest prize?

(1) No two winners received the same prize.
(2) The total prize money awarded was $10,000.


48 Hour Window Answer & Explanation Window
Earn KUDOS! Post your answer and explanation.
OA, and explanation will be posted after the 48 hour window closes.

This question is part of the Quant 4-Pack series

Scroll Down For Official Explanation


Hi All,

While this DS question is a bit 'wordy', that does not mean that the question is necessarily going to be that 'hard.' We're told that each of 4 raffle winners will select one envelope from a group of 4 envelopes (and the envelopes will award one of the following prizes: $1000, $2000, $3000 or $4000). After each contestant selects an envelope, the next contestant will select from a new group of 4 envelopes with the same prize values. We're asked if any of the 4 winners received the largest prize (meaning the $4000 envelope).

(1) No two winners received the same prize.

This Fact tells us that the same prize was not given out more than once. With 4 winners, and just 4 prize 'values', each of the 4 prizes had to have been given out just once. Thus, there was one $1000 winner, one $2000 winner, one $3000 winner and one $4000 winner. The answer to the question is YES.
Fact 1 is SUFFICIENT

(2) The total prize money awarded was $10,000.

With this Fact, and the knowledge that 4 prizes we awarded, the 'obvious' possibility is to assume that each prize was awarded once:

$1000 + $2000 + $3000 + $4000 = $10,000 and the answer to the question would be YES.

However, there is more than one way to get to a $10,000 total:

$1000 + $3000 + $3000 + $3000 = $10,000 and the answer to the question would be NO.
Fact 2 is INSUFFICIENT

Final Answer:

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Re: Data Sufficiency Pack 2, Question 3) Four raffle 'winners'...  [#permalink]

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Re: Data Sufficiency Pack 2, Question 3) Four raffle 'winners'... &nbs [#permalink] 23 Dec 2017, 08:31
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