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

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What was the ratio of the number of cars to the number of tr [#permalink] New post 30 Jan 2014, 22:42
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D
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Difficulty:

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Question Stats:

79% (02:04) correct 20% (00:22) wrong based on 34 sessions
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] New post 30 Jan 2014, 22:42
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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.

Answer: D.
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Re: What was the ratio of the number of cars to the number of tr [#permalink] New post 30 Jan 2014, 23:21
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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] New post 31 Jan 2014, 01:23
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.

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Re: What was the ratio of the number of cars to the number of tr [#permalink] New post 01 Feb 2014, 09:18
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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.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: What was the ratio of the number of cars to the number of tr   [#permalink] 01 Feb 2014, 09:18
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