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04 Feb 2020, 04:10
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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78% (01:20) correct
22%
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What are the coordinates of point S?
(1) The slope of OS is 1/3
(2) The slope of ST is 1/2
Are You Up For the Challenge: 700 Level Questions
Attachment:
Untitled.png [ 3.25 KiB | Viewed 2915 times ]
shameekv1989
04 Feb 2020, 04:39
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What are the coordinates of point S?
(1) The slope of OS is 1/3
(2) The slope of ST is 1/2
y = mx + C
i) For line OS, \(y =0\), \(x=0\), \(m=\frac{1}{3}\) -> \(C =0\) -> \(y=\frac{x}{3}\) -> Not Sufficient
ii) For line ST, \(y=0\), \(x=5\), \(m=\frac{1}{2}\) -> \(0=\frac{5}{2} + C \) -> \(C = \frac{-5}{2}\) -> Not Sufficient
Combining i) and ii), substituting value of y in ii) from i)
\(\frac{x}{3} = \frac{x}{2 }- \frac{5}{2 }\)-> \(x=15\) and therefore \(y=5\) coordinates of S -> Sufficient
Answer - C
(1) The slope of OS is 1/3
(2) The slope of ST is 1/2
y = mx + C
i) For line OS, \(y =0\), \(x=0\), \(m=\frac{1}{3}\) -> \(C =0\) -> \(y=\frac{x}{3}\) -> Not Sufficient
ii) For line ST, \(y=0\), \(x=5\), \(m=\frac{1}{2}\) -> \(0=\frac{5}{2} + C \) -> \(C = \frac{-5}{2}\) -> Not Sufficient
Combining i) and ii), substituting value of y in ii) from i)
\(\frac{x}{3} = \frac{x}{2 }- \frac{5}{2 }\)-> \(x=15\) and therefore \(y=5\) coordinates of S -> Sufficient
Answer - C
04 Feb 2020, 05:55
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Bunuel
What are the coordinates of point S?
(1) The slope of OS is 1/3
(2) The slope of ST is 1/2
Are You Up For the Challenge: 700 Level Questions
Attachment:
Untitled.png
Solution
Step 1: Analyse Question Stem
- • O is point (0,0) and T is point (5, 0)
• Let us assume that the point S is (x, y)
Step 2: Analyse Statements Independently
Statement 1: The slope of OS is \(\frac{1}{3}\)
- • According to this statement: \(\frac{(y-0)}{(x-0)} = \frac{1}{3}\)
- o Or, \(\frac{y}{x} = \frac{1}{3}\)
o Or, \(x = 3y\)
Hence, statement 1 is not sufficient and we can eliminate answer options A and D
Statement 2: The slope of ST is \( \frac{1}{2}\)
- • According to this statement: \(\frac{(y-0)}{(x-5) }= \frac{1}{2}\)
- o Or, \(\frac{y}{(x-5)} = \frac{1}{2}\)
o Or, \(x = 2y + 5\)
Hence, statement 2 is also not sufficient and we can eliminate answer Option B.
Step 3: Analyse Statements by combining.
- • From statement 1: \( x = 3y\)
• From statement 2: \(x = 2y +5 \)
Thus, the correct answer is Option C.
