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08 Sep 2021, 08:00
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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:
5%
(low)
Question Stats:
80% (01:02) correct
20%
(01:13)
wrong
based on 240
sessions
History
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Not Attempted Yet
Given the figure, what is \(y_2\)?
(1) \(y_1\) is 1.5
(2) \(x_1\) is -2
Attachment:
mgmat.PNG [ 5.54 KiB | Viewed 3987 times ]
08 Sep 2021, 08:36
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Given the figure, what is \(y_2\)?
If we can find slope from given coordinates OR if distance between these three points is given we can find \(y_2\).
(1) \(y_1\) is 1.5
Using pythagoras theorem we can't find the \(y_2\) from neither of the triangles{(5,\(y_2\)), (0,\(y_1\)), (5, \(y_2\) - \(y_1\)) or (0,\(y_1\)), (\(x_1\),0), (0,0)} as slope can vary.
INSUFFICIENT.
(2) \(x_1\) is -2
Using pythagoras theorem we can't find the \(y_2\). Similar reasoning as above.
INSUFFICIENT.
Together 1 and 2
We can find the slope of smaller triangle{(0,\(y_1\)), (\(x_1\),0), (0,0)}. The slope found can thus help us find \(y_2\) using pythagoras for biggest triangle.
SUFFICIENT.
Answer C.
10 Sep 2021, 06:48
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Bunuel
Statement 1:
We know only 1 point. Insufficient.
Statement 2:
We know only 1 point. Insufficient.
Combined:
Given two points, we can fix a line then find \(y_2\). Sufficient.
Ans: C
