A certain student sold exactly 40% of all the tickets sold : GMAT Data Sufficiency (DS)
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# A certain student sold exactly 40% of all the tickets sold

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Manager
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A certain student sold exactly 40% of all the tickets sold [#permalink]

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15 Jun 2011, 10:26
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Question Stats:

54% (02:25) correct 46% (01:35) wrong based on 218 sessions

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A certain student sold exactly 40% of all the tickets sold for a raffle, and exactly 10% of all ticket-holders won prizes in the raffle. If all ticket-holders purchased only one ticket, and if each ticket could win a maximum of one prize, how many tickets did the student sell?

(1) The student sold 3 winning tickets.
(2) There were 25 available prizes to be won in the raffle.
[Reveal] Spoiler: OA

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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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15 Jun 2011, 11:45
AnkitK wrote:
A certain student sold exactly 40% of all the tickets sold for a raffle and exactly 10% of all tickets won prizes in raffle.If each ticket could win a maximum of one prize ,how many tickets did student win?
1. Student sold 3 winning tickets.
2.there were 25 prizes in raffle.

Is the question:
how many tickets did student sell?

1.
Sold 3 winning tickets doesn't give us any indication how much he sold.
If
Total=100; He sold=40; 3 won
Total=50; He sold=20; 3 won

Not Sufficient.

2.
25 prizes and we are given that prizes=10%
Thus total=25*10=250
He sold=0.4*250=100
Sufficient.

Ans: "B"
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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16 Jun 2011, 10:49
is the question
Quote:
how many tickets did student sell?
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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03 Nov 2011, 11:45
as fluke stated; B if the question asked for the amount sold by the student.
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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17 Oct 2014, 11:47
Is the question typed wrong? The question says how many were won but fluke answered how many sold? I answered correctly but I think it was for the wrong reason. The question asked for how many ticket did student win? (Which I thought was odd phrasing).
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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18 Oct 2014, 01:24
IVIE1982 wrote:
Is the question typed wrong? The question says how many were won but fluke answered how many sold? I answered correctly but I think it was for the wrong reason. The question asked for how many ticket did student win? (Which I thought was odd phrasing).

Edited the question. Below is correct version:
A certain student sold exactly 40% of all the tickets sold for a raffle, and exactly 10% of all ticket-holders won prizes in the raffle. If all ticket-holders purchased only one ticket, and if each ticket could win a maximum of one prize, how many tickets did the student sell?

(1) The student sold 3 winning tickets.
(2) There were 25 available prizes to be won in the raffle.
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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19 Oct 2014, 17:50
Are we assuming all prizes were won? If so, how can we assume this?

B states that 25 prizes were available.
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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27 Oct 2014, 10:04
Bunuel wrote:
IVIE1982 wrote:
Is the question typed wrong? The question says how many were won but fluke answered how many sold? I answered correctly but I think it was for the wrong reason. The question asked for how many ticket did student win? (Which I thought was odd phrasing).

Edited the question. Below is correct version:
A certain student sold exactly 40% of all the tickets sold for a raffle, and exactly 10% of all ticket-holders won prizes in the raffle. If all ticket-holders purchased only one ticket, and if each ticket could win a maximum of one prize, how many tickets did the student sell?

(1) The student sold 3 winning tickets.
(2) There were 25 available prizes to be won in the raffle.

Hi Bunuel
Is it 0.10x0.25xTotal tickets = 25?
Thanks....
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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31 Oct 2014, 09:13
intheend14 wrote:
Are we assuming all prizes were won? If so, how can we assume this?

B states that 25 prizes were available.

I agree. I chose E because nothing in the question indicates that all the prizes had to be won. Had it said every prize would be given out, or something similar, I would agree with B.
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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20 Apr 2015, 02:52
Bunuel wrote:
IVIE1982 wrote:
Is the question typed wrong? The question says how many were won but fluke answered how many sold? I answered correctly but I think it was for the wrong reason. The question asked for how many ticket did student win? (Which I thought was odd phrasing).

Edited the question. Below is correct version:
A certain student sold exactly 40% of all the tickets sold for a raffle, and exactly 10% of all ticket-holders won prizes in the raffle. If all ticket-holders purchased only one ticket, and if each ticket could win a maximum of one prize, how many tickets did the student sell?

(1) The student sold 3 winning tickets.
(2) There were 25 available prizes to be won in the raffle.

Hi Bunuel,
In b,we are told that there are 25 "available" prizes.can't it be case where 15 out of 25 available won prizes?
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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19 Oct 2015, 11:57
A certain student sold exactly 40% of all the tickets sold for a raffle, and exactly 10% of all ticket-holders won prizes in the raffle. If all ticket-holders purchased only one ticket, and if each ticket could win a maximum of one prize, how many tickets did the student sell?

(1) The student sold 3 winning tickets.
(2) There were 25 available prizes to be won in the raffle.

(1)sufficient, if student sold 3 won ticket so x=total ticket y=sold ticket
0.1*Y=3 Y=30 and 0.4X= 30 then x=75 so A is sufficient,
is this wrong?
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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28 Oct 2015, 08:00
Hi,

The question is incomplete.

It doesn't specify on the prizes won.

Regards

Saikiran
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Re: A certain student sold exactly 40% of all the tickets sold [#permalink]

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30 Oct 2015, 18:10
eiffel wrote:
A certain student sold exactly 40% of all the tickets sold for a raffle, and exactly 10% of all ticket-holders won prizes in the raffle. If all ticket-holders purchased only one ticket, and if each ticket could win a maximum of one prize, how many tickets did the student sell?

(1) The student sold 3 winning tickets.
(2) There were 25 available prizes to be won in the raffle.

(1)sufficient, if student sold 3 won ticket so x=total ticket y=sold ticket
0.1*Y=3 Y=30 and 0.4X= 30 then x=75 so A is sufficient,
is this wrong?

Same, I picked A. If 3 winning tickets and 10% of ticket holders won prizes, than obviously 30 tickets were sold.
In B, 25 "available prizes to be won" could mean 0 prizes won or 25 prizes won, insuff
Re: A certain student sold exactly 40% of all the tickets sold   [#permalink] 30 Oct 2015, 18:10
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