This is the question:
Of the new vehicles registered in a week, 300 were neither SUVs nor were they powered by diesel. 3/4th of the SUVs registered were diesel powered and there were half as many SUVs as there were non SUVs. If SUVs not powered by diesel were a sixth of non SUVs not powered by diesel, how many vehicles registered in the week were powered by diesel?
A. 200
B. 50
C. 250
D. 150
E. 400
Vinay
Ratio Problem
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- GMATGuruNY
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This is an EITHER/OR problem.vinay1983 wrote:This is the question:
Of the new vehicles registered in a week, 300 were neither SUVs nor were they powered by diesel. 3/4th of the SUVs registered were diesel powered and there were half as many SUVs as there were non SUVs. If SUVs not powered by diesel were a sixth of non SUVs not powered by diesel, how many vehicles registered in the week were powered by diesel?
A. 200
B. 50
C. 250
D. 150
E. 400
Every vehicle is EITHER an SUV OR a non-SUV.
Every vehicle is EITHER diesel OR non-diesel.
Use a GROUP GRID (also known as a double-matrix) to organize the data.
The key to the grid is the following:
The values in any row or column must add up to the TOTAL of that row or column.
300 were neither SUVs nor were they powered by diesel:
3/4th of the SUVs registered were diesel powered and there were half as many SUVs as there were non SUVs.
Let total SUVs = 4x.
Since 3/4 of the SUVs are diesel, diesel SUVs = (3/4)(4x) = x.
Since there 1/2 as many SUVs as non-SUVs, non-SUVs = 8x.
Enter this information into the grid:
SUVs not powered by diesel were a sixth of non SUVs not powered by diesel.
Thus, the x SUVS that are not diesel are equal to 1/6 of the 300 non-SUVS that are not diesel:
x = 1/6 * 300
x = 50.
Resulting grid:
Total diesels = 250.
The correct answer is C.
Last edited by GMATGuruNY on Mon Aug 19, 2013 1:30 pm, edited 1 time in total.
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Followed here and elsewhere by over 1900 test-takers.
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I thought I'd point out that Mitch's "group grid" approach (aka "Double Matrix Method") can be used for most questions featuring a population in which each member has two characteristics associated with it (e.g., diesel and SUV)vinay1983 wrote:This is the question:
Of the new vehicles registered in a week, 300 were neither SUVs nor were they powered by diesel. 3/4th of the SUVs registered were diesel powered and there were half as many SUVs as there were non SUVs. If SUVs not powered by diesel were a sixth of non SUVs not powered by diesel, how many vehicles registered in the week were powered by diesel?
A. 200
B. 50
C. 250
D. 150
E. 400
To learn more about this technique, watch our free video: https://www.gmatprepnow.com/module/gmat- ... ems?id=919
Then try these additional practice questions that can be solved using the Double Matrix Method:
- https://www.beatthegmat.com/mba/2011/05/ ... question-1
- https://www.beatthegmat.com/mba/2011/05/ ... question-2
- https://www.beatthegmat.com/mba/2011/05/ ... question-3
- https://www.beatthegmat.com/ds-quest-t187706.html
- https://www.beatthegmat.com/overlapping- ... 83320.html
- https://www.beatthegmat.com/finance-majo ... 67425.html
- https://www.beatthegmat.com/ds-french-ja ... 22297.html
Cheers,
Brent