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27 Sep 2024, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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76% (02:34) correct
24%
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An automobile dealership sells only sedans and coupes. It sells each in only two colors: red and blue. Last year, the dealership sold 9,000 vehicles, half of which were red. How many coupes did the dealership sell last year?
(1) The dealership sold three times as many blue coupes as red sedans last year.
(2) The dealership sold half as many blue sedans as blue coupes last year.
(1) The dealership sold three times as many blue coupes as red sedans last year.
(2) The dealership sold half as many blue sedans as blue coupes last year.
This is a Data Sufficiency Butler Question
Check the links to other Butler Projects:
Check the links to other Butler Projects:
- Data Sufficiency Butler
- Problem Solving Butler
- Sentence Correction Butler
- Reading Comprehension Butler
- Integrated Reasoning Butler
27 Sep 2024, 09:32
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The question -
Statement 1 -
suppose Red Sedan = x
So, blue coupes = 3x
No proper equation can be formed that can lead to a solution. NOT Sufficient.
Statement 2 -
suppose Blue coupes = x
So, blue Sedan = \(\frac{x}{2}\)
So, \(\frac{x}{2}+x=4500\)
\(=> x = 3000\)
The table stands -
Nothing can be formed without any more data. NOT Sufficient.
Combining statements 1 and 2 -
red sedan is one-third of blue coupe. So table stands -
So total coupes sold last year was 6500.
So option C is the answer
| Sedans | Coupes | Total | |
| Red | 4500 | ||
| Blue | 4500 | ||
| Total | ? | 9000 |
Statement 1 -
suppose Red Sedan = x
So, blue coupes = 3x
| Sedans | Coupes | Total | |
| Red | x | 4500 | |
| Blue | 3x | 4500 | |
| Total | ? | 9000 |
Statement 2 -
suppose Blue coupes = x
So, blue Sedan = \(\frac{x}{2}\)
| Sedans | Coupes | Total | |
| Red | 4500 | ||
| Blue | \(\frac{x}{2}\) | x | 4500 |
| Total | ? | 9000 |
So, \(\frac{x}{2}+x=4500\)
\(=> x = 3000\)
The table stands -
| Sedans | Coupes | Total | |
| Red | 4500 | ||
| Blue | 1500 | 3000 | 4500 |
| Total | ? | 9000 |
Combining statements 1 and 2 -
red sedan is one-third of blue coupe. So table stands -
| Sedans | Coupes | Total | |
| Red | 1000 | 3500 | 4500 |
| Blue | 1500 | 3000 | 4500 |
| Total | 2500 | 6500 | 9000 |
So option C is the answer
