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# In a certain Gun shooting competition prizes were awarded as follows:

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Current Student
Joined: 12 Aug 2015
Posts: 2610
Schools: Boston U '20 (M)
GRE 1: Q169 V154
In a certain Gun shooting competition prizes were awarded as follows:  [#permalink]

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21 Jul 2016, 03:39
2
4
00:00

Difficulty:

95% (hard)

Question Stats:

29% (01:25) correct 71% (01:50) wrong based on 111 sessions

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In a certain Gun shooting competition prizes were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points . No other points were awarded. John participated several times in the competition. The product of all the points he received was 84700. How many times did he participate in the competition.
A) 7
B) 5
C) 3
D) 2
E) cannot be determined

Note:- Question is a bit modified version of MGMAT.

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Current Student
Joined: 22 Jun 2016
Posts: 238
Re: In a certain Gun shooting competition prizes were awarded as follows:  [#permalink]

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21 Jul 2016, 07:44
2
1
stonecold wrote:
In a certain Gun shooting competition prizes were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points . No other points were awarded. John participated several times in the competition. The product of all the points he received was 84700. How many times did he participate in the competition.
A) 7
B) 5
C) 3
D) 2
E) cannot be determined

Note:- Question is a bit modified version of MGMAT.

84700 = 2*2*5*5*7*11*11

If the question stated that John atleast came 4th each time he participated, then we can say that John participated 7 times.

But, it is not stated how many times did John come fifth, sixth, seventh, etc.

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Current Student
Joined: 18 Oct 2014
Posts: 830
Location: United States
GMAT 1: 660 Q49 V31
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Re: In a certain Gun shooting competition prizes were awarded as follows:  [#permalink]

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21 Jul 2016, 08:45
2
stonecold wrote:
In a certain Gun shooting competition prizes were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points . No other points were awarded. John participated several times in the competition. The product of all the points he received was 84700. How many times did he participate in the competition.
A) 7
B) 5
C) 3
D) 2
E) cannot be determined

Note:- Question is a bit modified version of MGMAT.

We can calculate how many times he was winner in the competition, but we can't determine how many times he participated without winning the competition.

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Joined: 27 May 2012
Posts: 801
Re: In a certain Gun shooting competition prizes were awarded as follows:  [#permalink]

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26 Dec 2017, 19:52
stonecold wrote:
In a certain Gun shooting competition prizes were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points . No other points were awarded. John participated several times in the competition. The product of all the points he received was 84700. How many times did he participate in the competition.
A) 7
B) 5
C) 3
D) 2
E) cannot be determined

Note:- Question is a bit modified version of MGMAT.

The main reason that the answer is E is because we do not know if he came 5th or 6th or any other rank. Because for those positions no points were awarded .
Case 1: Suppose there are 10 people in the competition and John came 5th once and 8th once and the product of the remainder of the points were 84700. Here John participated 9 times .
Case 2:Suppose there are 10 people in the competition and John came 5th, 8th and 10th once and the product of the remainder of the points were 84700. Here John participated 10 times .
Hence number of times he participated cannot be determined
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- Stne
Re: In a certain Gun shooting competition prizes were awarded as follows:   [#permalink] 26 Dec 2017, 19:52
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