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

Question

$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.

(1) The person in first place won $50

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

100mitra · Answer

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

Posted from my mobile device

parasma · Answer

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.

Bunuel · Answer

This question is a part of  Are You Up For the Challenge: 700 Level Questions  collection.

anshulasthana · Answer

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.

sanjitscorps18 · Answer

First line says, "it will be split among 6 contestants". So, each contestant should have something even if it is 1 otherwise the choices become unbound. You may not see such on the real GMAT.

pappal · Answer

since 150 is to be split into the 6 contestants hence nobody can be left penniless, but the condition is given that it should be in descending order.
 from 1 : 1st one gets 50,there could be both types of scenarios in which second one gets more than 40 or less than 40
eg 50 41 28 20 10 1 or 50 39 30 20 10 1 so  insufficient 
 from 2 : in which the successive distribution is no less than 10
if we take 50 40 30 20 10 0 (the last one is penniless so defies the splitting of money as discussed,
as well any addition in the share of the first one will result in the similar manner)
AND any reduction in the share of the first contestant say 49 39 29 19 9 5 as well keeping up the descending order condition viable, will result in the share of the second contestant less than 40.
so absolute NO. so  SUFFICIENT 
 B

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards