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$150 in prize money is going to be split among 6 contestants in a comp

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Bunuel
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$150 in prize money is going to be split among 6 contestants in a comp [#permalink] New post   06 Oct 2021, 06:00
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55% (02:41) correct 45% (01:58) wrong based on 100 sessions
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$150 in prize money is going to be split among 6 contestants in a competition at a charity event. The person in first place receives the most money, the person in second place receives the second most, the person in third place receives the third most, and so on. Did the person in second place receive at least $40 of the prize money?

(1) The person in first place won $50

(2) No individual prize was within $10 of another prize.
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100mitra
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Re: $150 in prize money is going to be split among 6 contestants in a comp [#permalink] New post   07 Oct 2021, 07:14
Correct Option B

Total Price : $150 in prize money is Contestants : 6
First place receives the most money

To Find:Did the person in second place receive at least $40 of the prize money?

Statement 1: The person in first place won $50 = $150 -$50 = $100 divided in rest of other 5 contestants,
No ratio, variable provided about divide to remaining - Insufficient

Statement 2: No individual prize was within $10 of another prize.
Difference between two prize atleast more than $10
Highest to lowest = $50 > $40 > $30 > $ 20 > $10
By this seceond person can get atleast $40 - Sufficient

Option B

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parasma
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$150 in prize money is going to be split among 6 contestants in a comp [#permalink] New post   13 Oct 2021, 21:52
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Bunuel wrote:
$150 in prize money is going to be split among 6 contestants in a competition at a charity event. The person in first place receives the most money, the person in second place receives the second most, the person in third place receives the third most, and so on. Did the person in second place receive at least $40 of the prize money?

(1) The person in first place won $50

(2) No individual prize was within $10 of another prize.


Statement-1

First person won 50.
Remaining 100 to be distributed to 5.
Possibility -1 (Maintaining the condition)
2nd= 40
3rd= 25
4th= 20
5th= 10
6th= 5

Possibility 2- (Maintaining the condition)
2nd= 35
3rd= 30
4th= 20
5th= 10
6th= 5

Possibility 3- (Maintaining the condition)
2nd= 45
3rd= 20
4th= 15
5th= 10
6th= 5

So statement-1 is insufficient.

Statement-2 No individual prize was within $10 of another prize


1st= x
2nd= x-11
3rd= x-22
4th= x-33
5th= x-44
6th= x-55

Total= 6x-165

6x-165= 150
6x= 315
x= 52.50

1st got 52.50.
2nd can get= 41.50

If the difference b/w 2 is not equal and more than 11.
1st will get more than 52.50 and 2nd will get atleast 40.

So statement 2 is sufficient.

Answer is B.
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Re: $150 in prize money is going to be split among 6 contestants in a comp [#permalink] New post   03 Nov 2021, 06:48
Expert Reply
This question is a part of Are You Up For the Challenge: 700 Level Questions collection.
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anshulasthana
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Re: $150 in prize money is going to be split among 6 contestants in a comp [#permalink] New post   24 Nov 2021, 00:59
By all the answers given here, it is implied that 6th rank holder returned penniless.
But same is not given in Question stem.
Can someone clarify.
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Re: $150 in prize money is going to be split among 6 contestants in a comp [#permalink] New post   20 Jan 2024, 08:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: $150 in prize money is going to be split among 6 contestants in a comp [#permalink]
20 Jan 2024, 08:44
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