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27 Feb 2019, 15:52
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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:
55%
(hard)
Question Stats:
55% (01:46) correct
45%
(01:49)
wrong
based on 49
sessions
History
Date
Time
Result
Not Attempted Yet
GMATH practice exercise (Quant Class 17)
What is the value of \(DE/FG\) ?
(1) \(AB/AD = 5\)
(2) \(AD = FB\)
27-Feb19-3j.gif [ 6.45 KiB | Viewed 1723 times ]
What is the value of \(DE/FG\) ?
(1) \(AB/AD = 5\)
(2) \(AD = FB\)
Attachment:
27-Feb19-3j.gif [ 6.45 KiB | Viewed 1723 times ]
28 Feb 2019, 07:07
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fskilnik
\(\Delta ADE\,\,\, \cong \,\,\,\Delta AFG\,\,\, \cong \,\,\,\Delta ABC\)
\(? = \frac{{DE}}{{FG}}\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\boxed{\,\,?\,\, = \,\,\,\Delta ADE:\Delta AFG\,\,\,{\text{ratio}}\,\,{\text{of}}\,\,{\text{similarity}}\,\,{\text{ = }}\,\,\,\frac{{AD}}{{AF}}\,\,\left( { = \frac{{AE}}{{AG}}} \right)\,\,}\)
\(\left( 1 \right)\,\,\,{{AD} \over {AB}} = {1 \over 5}\,\,\,\,\left( * \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{INSUFF}}.\,\,\,\,\left( {{\rm{images}}} \right)\)
\(\left( 2 \right)\,\,AD = FB\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{INSUFF}}.\,\,\,\,\left( {{\rm{images}}} \right)\)
\(\left( {1 + 2} \right)\,\,\,\,? = {{AD} \over {AF}} = {{AD} \over {AB - BF}}\,\,\mathop = \limits^{\left( 2 \right)} \,\,{{AD} \over {AB - AD}}\,\,\mathop = \limits^{\left( * \right)} \,\,{k \over {5k - k}} = {1 \over 4}\,\,\,\,\, \Rightarrow \,\,\,\,\,{\rm{SUFF}}.\)
The correct answer is (C).
We follow the notations and rationale taught in the GMATH method.
Regards,
Fabio.
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