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Joined: 01 Oct 2017
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WE: Supply Chain Management (Energy and Utilities)

In the xyplane, the equation of line l is 5x + 6y = 90. Does the
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12 Aug 2018, 09:10
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In the xyplane, the equation of line l is 5x + 6y = 90. Does the point (a, b) lie on line l? (1) (a + b  16) (5a + 6b  90) = 0 (2) (b  a  4) (5a + 6b  90) = 0 Source: Time4education
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PKN
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Re: In the xyplane, the equation of line l is 5x + 6y = 90. Does the
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12 Aug 2018, 11:53
PKN wrote: In the xyplane, the equation of line l is 5x + 6y = 90. Does the point (a, b) lie on line l? (1) (a + b  16) (5a + 6b  90) = 0 (2) (b  a  4) (5a + 6b  90) = 0
Source: Time4education Copy of the following question: https://gmatclub.com/forum/inthexypl ... 00399.htmlSimilar question: https://gmatclub.com/forum/inthexypl ... 40975.html
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Joined: 01 Oct 2017
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WE: Supply Chain Management (Energy and Utilities)

Re: In the xyplane, the equation of line l is 5x + 6y = 90. Does the
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12 Aug 2018, 12:00
Bunuel wrote: PKN wrote: In the xyplane, the equation of line l is 5x + 6y = 90. Does the point (a, b) lie on line l? (1) (a + b  16) (5a + 6b  90) = 0 (2) (b  a  4) (5a + 6b  90) = 0
Source: Time4education Copy of the following question: https://gmatclub.com/forum/inthexypl ... 00399.htmlSimilar question: https://gmatclub.com/forum/inthexypl ... 40975.htmlGot it. Thank you.
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In the xyplane, the equation of line l is 5x + 6y = 90. Does the
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13 Aug 2018, 07:16
Solution Given:• The equation of a line l, which is 5x + 6y = 90.
To find:• If the point (a, b) lies on the line l or not
Approach and Working: • For (a, b) to lie on the line, l. It must satisfy the equation of the line, l, that is
• Therefore, we can conclude that,
o If 5a + 6b = 90, then the point (a, b) will lie on the line, l
Analysing Statement 1“(a + b  16) (5a + 6b  90) = 0” • The above equation will be equal to zero, if
o a + b  16 = 0, or o 5a + 6b  90 = 0 or both
• From this, we get,
o a + b = 16, or o 5a + 6b = 90 o From this, we cannot say whether, 5a + 6b = 90, or not. It is only a possible case.
Therefore, Statement (1) ALONE is not sufficient to answer this question Analysing Statement 2“(b  a  4) (5a + 6b  90) = 0” • The above expression will be equal to zero, if
o b – a  4 = 0, or o 5a + 6b  90 = 0 or both
• From this, we get,
o b  a = 4, or o 5a + 6b = 90 o From this, we cannot say whether, 5a + 6b = 90, or not. It is only a possible case.
Therefore, Statement (2) ALONE is not sufficient to answer this question Combining Both Statements• Combining both the statements, we get
o 5a + 6b = 90 o Therefore, (a, b) lie on the line, 5x + 6y = 90
Thus, Statement (1) and (2) TOGETHER are sufficient to answer this question. Hence, the correct answer is option C. Answer: C
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In the xyplane, the equation of line l is 5x + 6y = 90. Does the
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13 Aug 2018, 07:16






