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# What was the ratio of the number of cars to the number of tr

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Math Expert
Joined: 02 Sep 2009
Posts: 39702
What was the ratio of the number of cars to the number of tr [#permalink]

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30 Jan 2014, 23:42
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What was the ratio of the number of cars to the number of trucks produced by Company X last year?

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X.

(2) Last year Company X produced 565,000 cars and 406,800 trucks.

Data Sufficiency
Question: 67
Category: Arithmetic Ratio; Percents
Page: 157
Difficulty: 600

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Re: What was the ratio of the number of cars to the number of tr [#permalink]

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30 Jan 2014, 23:42
SOLUTION

What was the ratio of the number of cars to the number of trucks produced by Company X last year?

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X:

(cars)*1.08 = 1.5*(trucks);
(cars)/(trucks) = 1.5/1.08.

Sufficient.

(2) Last year Company X produced 565,000 cars and 406,800 trucks: (cars)/(trucks) = 565,000/406,800. Sufficient.

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Joined: 23 Jun 2008
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Re: What was the ratio of the number of cars to the number of tr [#permalink]

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31 Jan 2014, 00:21
1
KUDOS

Starting with statement (2)

Number of trucks and number of cars are provided, so statement 2 ALONE is sufficient to calculate the ratio.

Statement (1)

We do not know the actual numbers of cars (c) or trucks(t) produced last year, however the information we are given can be written as 1.08c = 1.5t which is sufficient to calculate the ratio.

So the answer is D: Both Statement (1) and Statement(2) are ALONE sufficient.

Also note that we don't need to do the math to calculate the ratios.
Of course let me know if there was some trap that I missed
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Re: What was the ratio of the number of cars to the number of tr [#permalink]

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31 Jan 2014, 02:23
S1: Let no. of cars = x & no. of trucks = y
We're given, 1.08x=150% of y
We can easily calculate x/y or y/x.Sufficient.

S2: We're given the no. of cars and trucks.We can simply find the ratio.Sufficient.

Ans.D
Math Expert
Joined: 02 Sep 2009
Posts: 39702
Re: What was the ratio of the number of cars to the number of tr [#permalink]

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01 Feb 2014, 10:18
SOLUTION

What was the ratio of the number of cars to the number of trucks produced by Company X last year?

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X:

(cars)*1.08 = 1.5*(trucks);
(cars)/(trucks) = 1.5/1.08.

Sufficient.

(2) Last year Company X produced 565,000 cars and 406,800 trucks: (cars)/(trucks) = 565,000/406,800. Sufficient.

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Joined: 17 Nov 2013
Posts: 183
Re: What was the ratio of the number of cars to the number of tr [#permalink]

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21 Jun 2014, 10:18
on stmt1, can you talk more about the logic, i feel like mechanically i can do it. but i want to know more, if you can add some color to stmt1 logic would be great.
thanks!
Math Expert
Joined: 02 Sep 2009
Posts: 39702
Re: What was the ratio of the number of cars to the number of tr [#permalink]

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21 Jun 2014, 11:14
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Expert's post
lalania1 wrote:
on stmt1, can you talk more about the logic, i feel like mechanically i can do it. but i want to know more, if you can add some color to stmt1 logic would be great.
thanks!

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X:

Say, last year, 100 cars were produced. We are told that, if the number of cars produced had been 8 percent greater, so if there were 108 cars produced instead of 100, then this 108 cars would have been 150% of the number of trucks produced: 108 =1.5*(trucks) --> (trucks) = 72.

Ratio = 100/72 = 25/18. The same as 1.5/1.08 = 25/18.

Hope it's clear.
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Joined: 23 Sep 2014
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Location: India
Concentration: Marketing, Finance
GMAT 1: 670 Q48 V34
Re: What was the ratio of the number of cars to the number of tr [#permalink]

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26 May 2015, 01:54
Bunuel wrote:
lalania1 wrote:
on stmt1, can you talk more about the logic, i feel like mechanically i can do it. but i want to know more, if you can add some color to stmt1 logic would be great.
thanks!

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X:

Say, last year, 100 cars were produced. We are told that, if the number of cars produced had been 8 percent greater, so if there were 108 cars produced instead of 100, then this 108 cars would have been 150% of the number of trucks produced: 108 =1.5*(trucks) --> (trucks) = 72.

Ratio = 100/72 = 25/18. The same as 1.5/1.08 = 25/18.

Hope it's clear.

Hi Bunuel,

This is kinda off topic but I require your guidance.

Almost all the OG question are either below 600 level or 600 level questions.

So is going through the MGMAT 9 book set and the OG questions enough to secure a 700+ score or should I refer to a book which has a collection of question of
700+ level.

TIA
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15983
Re: What was the ratio of the number of cars to the number of tr [#permalink]

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06 Jun 2017, 06:41
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Re: What was the ratio of the number of cars to the number of tr   [#permalink] 06 Jun 2017, 06:41
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