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13 Mar 2019, 05:24
Kudos
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A
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Difficulty:
95%
(hard)
Question Stats:
31% (01:09) correct
69%
(00:52)
wrong
based on 195
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GMATH practice exercise (Quant Class 6)
The number of candidates rejected in a certain admission process was four times greater than the number of candidates accepted. Which of the following could be the total number of candidates that applied for this admission process?
(A) 726
(B) 727
(C) 728
(D) 729
(E) 730
The number of candidates rejected in a certain admission process was four times greater than the number of candidates accepted. Which of the following could be the total number of candidates that applied for this admission process?
(A) 726
(B) 727
(C) 728
(D) 729
(E) 730
13 Mar 2019, 06:34
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fskilnik
The number of candidates rejected in a certain admission process was four times GREATER than the number of candidates accepted.
Let x = the number of candidates accepted
So, x + 4x = the number of candidates rejected
In other words, 5x = the number of candidates rejected
So, 6x = TOTAL number of candidates (since x + 5x = 6x)
Which of the following could be the total number of candidates that applied for this admission process?
Since 6x = TOTAL number of candidates, we can see that the TOTAL number of candidates must be divisible by 6
Check the answer choices.....only answer choice A is divisible by 6
Answer: A
Cheers,
Brent
13 Mar 2019, 11:13
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fskilnik
\(?\,\,\,:\,\,\,{\rm{total}}\,\,{\rm{\# }}\,\,\,\left( {{\rm{possible}}\,\,{\rm{value}}} \right)\)
\(\left\{ \matrix{\\
\,{\rm{accepted}} = k \hfill \cr \\
\,{\rm{rejected}} = 5k \hfill \cr} \right.\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,? = 6k\,\,\,\,\,\,\left( {k \ge 1\,\,{\mathop{\rm int}} } \right)\)
\(\left( A \right)\,\,\,726\,\,\,\,\left\{ \matrix{\\
\,{\rm{even}} \hfill \cr \\
\,{\rm{multiple}}\,\,{\rm{of}}\,\,3\,\,\,\,\left( {7 + 2 + 6 = 15} \right) \hfill \cr} \right.\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,{\rm{done}}!\)
The correct answer is (A).
We follow the notations and rationale taught in the GMATH method.
Regards,
Fabio.
