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24 Apr 2018, 06:06
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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:
35%
(medium)
Question Stats:
70% (01:39) correct
30%
(01:35)
wrong
based on 132
sessions
History
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Not Attempted Yet
Does the line defined by y = mx + b contain the point (3, 1)?
(1) The line is perpendicular to y = -5x.
(2) The line contains the point (0, 2/5).
(1) The line is perpendicular to y = -5x.
(2) The line contains the point (0, 2/5).
24 Apr 2018, 06:14
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Ans: C (both together required)
From stat 1: The line is perpendicular to y = -5x. means slope of the required line is 1/2 but this does not give the value of b
(not Suff)
from stat 2: The line contains the point (0, 2/5). we put these points on given equation but we do not know the value of b and m (not Suff)
together: y= 1/2x + b from 1 and by putting the points from 2 in eq we know the value of b= 2/5..
now by putting the given points in question we can know if points lies on line or not.
Ans: C (together 1 & 2 are suff)
From stat 1: The line is perpendicular to y = -5x. means slope of the required line is 1/2 but this does not give the value of b
(not Suff)
from stat 2: The line contains the point (0, 2/5). we put these points on given equation but we do not know the value of b and m (not Suff)
together: y= 1/2x + b from 1 and by putting the points from 2 in eq we know the value of b= 2/5..
now by putting the given points in question we can know if points lies on line or not.
Ans: C (together 1 & 2 are suff)
24 Apr 2018, 11:40
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Bunuel
St1 : The slope of line y = mx+b is 1/5, as the line is perpendicular to line y = -5x, and product of perpendicular lines = -1
Now since there is no information regarding the constant b, there can be infinite lines parallel to \(y = \frac{1}{5}x + b\)
Hence insufficient.
St2 : plugging in the value yields 2/5 = 0+b, or b = 2/5, but the variable slope is still missing. Hence insufficient.
Combining St1 and St2
We have the value of m and b, and we can definately answer whether point (3,1) passes through the given line y = mx+b
Hence Option C
