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# The number of wins of Nadal in 2002 is how much percentage, more than

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Manager
Joined: 05 Oct 2017
Posts: 65
GMAT 1: 560 Q44 V23
The number of wins of Nadal in 2002 is how much percentage, more than  [#permalink]

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26 Sep 2018, 21:27
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85% (hard)

Question Stats:

39% (01:42) correct 61% (01:43) wrong based on 59 sessions

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The number of wins of Nadal in 2002 is how much percentage, more than that of 2004? Given that he won more number of matches in 2002 than in 2004?

(1) The number of wins in 2002 and that in 2003 are in the ration 3:7 and in 2004 he won 5 matches.
(2) The number of wins in 2003 and in 2004 are in the ratio 21:5 and he won 9 matches in 2002.

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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: The number of wins of Nadal in 2002 is how much percentage, more than  [#permalink]

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26 Sep 2018, 23:03
2
aa008 wrote:
The number of wins of Nadal in 2002 is how much percentage, more than that of 2004? Given that he won more number of matches in 2002 than in 2004?

1). The number of wins in 2002 and that in 2003 are in the ration 3:7 and in 2004 he won 5 matches.
2). The number of wins in 2003 and in 2004 are in the ratio 21:5 and he won 9 matches in 2002.

1). The number of wins in 2002 and that in 2003 are in the ration 3:7 and in 2004 he won 5 matches.

in 2004 he won 5 matches
we know that the number of wins in 2002 > number of wins in 2004
since there is no upper limit to matches he has won in 2002
he could have won 6,9,12,15,18,21 and so on

not sufficient

2). The number of wins in 2003 and in 2004 are in the ratio 21:5 and he won 9 matches in 2002.

now we know the number of wins in 2002 = 9

ratio of matches won in 03/04 = 21/5
which can be 21:5 , 42:10 , 63:15 ...
but we also know that the number of wins in 2002 > number of wins in 2004
therefore the number of wins in 04 = 5
ratio = 9/5

sufficient
B
Senior Manager
Joined: 22 Feb 2018
Posts: 426
Re: The number of wins of Nadal in 2002 is how much percentage, more than  [#permalink]

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26 Sep 2018, 23:12
2
aa008 wrote:
The number of wins of Nadal in 2002 is how much percentage, more than that of 2004? Given that he won more number of matches in 2002 than in 2004?

1). The number of wins in 2002 and that in 2003 are in the ration 3:7 and in 2004 he won 5 matches.
2). The number of wins in 2003 and in 2004 are in the ratio 21:5 and he won 9 matches in 2002.

OA: B

We have to find $$\frac{W_{2002}-W_{2004}}{W_{2004}}*100$$

Given: $$W_{2002} > W_{2004}$$

1). The number of wins in $$2002$$ and that in $$2003$$ are in the ration $$3:7$$ and in $$2004$$ he won $$5$$ matches.

As $$W_{2002} > W_{2004}$$; and as per statement $$1$$, $$W_{2002}$$ is a multiple of $$3$$.

$$W_{2002}$$ can be $$6,9,12,15,...................$$ and so on.

So We cannot find a unique value of $$\frac{W_{2002}-W_{2004}}{W_{2004}}*100$$

Statement $$1$$ alone is insufficient.

2). The number of wins in $$2003$$ and in $$2004$$ are in the ratio $$21:5$$ and he won $$9$$ matches in $$2002$$.

As $$W_{2002} > W_{2004}$$; and as per statement 2, $$W_{2004}$$ is a multiple of $$5$$.

$$W_{2004}$$ can only be $$5$$ , as $$W_{2004} =10,15,20,.........$$ voilates the information given in question stem.

$$\frac{W_{2002}-W_{2004}}{W_{2004}}*100=\frac{9-5}{5}*100=80$$%

Statement $$2$$ alone is sufficient.
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Intern
Joined: 30 Jan 2018
Posts: 17
Re: The number of wins of Nadal in 2002 is how much percentage, more than  [#permalink]

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27 Sep 2018, 04:24
Princ wrote:
aa008 wrote:
The number of wins of Nadal in 2002 is how much percentage, more than that of 2004? Given that he won more number of matches in 2002 than in 2004?

1). The number of wins in 2002 and that in 2003 are in the ration 3:7 and in 2004 he won 5 matches.
2). The number of wins in 2003 and in 2004 are in the ratio 21:5 and he won 9 matches in 2002.

OA: B

We have to find $$\frac{W_{2002}-W_{2004}}{W_{2004}}*100$$

Given: $$W_{2002} > W_{2004}$$

1). The number of wins in $$2002$$ and that in $$2003$$ are in the ration $$3:7$$ and in $$2004$$ he won $$5$$ matches.

As $$W_{2002} > W_{2004}$$; and as per statement $$1$$, $$W_{2002}$$ is a multiple of $$3$$.

$$W_{2002}$$ can be $$6,9,12,15,...................$$ and so on.

So We cannot find a unique value of $$\frac{W_{2002}-W_{2004}}{W_{2004}}*100$$

Statement $$1$$ alone is insufficient.

2). The number of wins in $$2003$$ and in $$2004$$ are in the ratio $$21:5$$ and he won $$9$$ matches in $$2002$$.

As $$W_{2002} > W_{2004}$$; and as per statement 2, $$W_{2004}$$ is a multiple of $$5$$.

$$W_{2004}$$ can only be $$5$$ , as $$W_{2004} =10,15,20,.........$$ voilates the information given in question stem.

$$\frac{W_{2002}-W_{2004}}{W_{2004}}*100=\frac{9-5}{5}*100=80$$%

Statement $$2$$ alone is sufficient.

Hi

I have a confusion, where it is mentioned in the question that they played equal number of matches in these 3 years or is it just we are assuming this.
Or please let me know if i am missing something from the ques stem or options.

Intern
Joined: 21 May 2016
Posts: 28
Re: The number of wins of Nadal in 2002 is how much percentage, more than  [#permalink]

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28 Sep 2018, 00:11
+1 for B
1. The ratio of 2002 and 2003 is given but the number in 2002 can be anything more than 6. It could be 9,12 etc Hence insufficient.
2. The ratio of 2003 and 2004 is given and number is given for 2002. Since it is also given that he won more number of matches in 2002 than in 2004, which means the number of matches won in 2004 is 5.Hence Sufficient
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Joined: 22 Feb 2018
Posts: 426
Re: The number of wins of Nadal in 2002 is how much percentage, more than  [#permalink]

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28 Sep 2018, 07:32
Quote:
Hi

I have a confusion, where it is mentioned in the question that they played equal number of matches in these 3 years or is it just we are assuming this.
Or please let me know if i am missing something from the ques stem or options.

Question stem,Statement 1 and statement 2 are talking about the number of wins.
$$W_{2002}$$ is number of wins in 2002.
$$W_{2004}$$ is number of wins in 2004.

Total Number of matches information is not required.
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Re: The number of wins of Nadal in 2002 is how much percentage, more than   [#permalink] 28 Sep 2018, 07:32
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