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12 Aug 2020, 23:58
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (01:31) correct
33%
(01:22)
wrong
based on 169
sessions
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Line L passes through the points A and B having coordinates (p,q) and (r,s), respectively. Is the slope of Line L positive ?
(1) p < 0 and q < 0
(2) r > 0 and s < 0
Are You Up For the Challenge: 700 Level Questions
(1) p < 0 and q < 0
(2) r > 0 and s < 0
Are You Up For the Challenge: 700 Level Questions
13 Aug 2020, 00:09
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A(p,q) and B(r,s)
Slope of line passing through these points = \(\frac{s - q}{r - p}\)
If the slope of the line is positive, then:
Case 1: s - q > 0 and r - p > 0
Case 2: s - q < 0 and r - p < 0
Statement 1:
p < 0 and q < 0
Still no information about the sign of r and s
=> Statement 1 is insufficient
Statement 2:
r > 0 and s < 0
Still no information about the sign of p and q
=> Statement 2 is insufficient
Statement 1 & Statement 2:
p < 0 and q < 0
r > 0 and s < 0
=> r - p > 0
and,
s - q > 0 OR s - q < 0 (we do not know if s > q or s < q)
=> Statement 1 and Statement 2 together are insufficient
Answer: E
Slope of line passing through these points = \(\frac{s - q}{r - p}\)
If the slope of the line is positive, then:
Case 1: s - q > 0 and r - p > 0
Case 2: s - q < 0 and r - p < 0
Statement 1:
p < 0 and q < 0
Still no information about the sign of r and s
=> Statement 1 is insufficient
Statement 2:
r > 0 and s < 0
Still no information about the sign of p and q
=> Statement 2 is insufficient
Statement 1 & Statement 2:
p < 0 and q < 0
r > 0 and s < 0
=> r - p > 0
and,
s - q > 0 OR s - q < 0 (we do not know if s > q or s < q)
=> Statement 1 and Statement 2 together are insufficient
Answer: E
13 Aug 2020, 00:37
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Bunuel
Slope of Line passing through Points (p,q) and (r,s) \(= \frac{y_2 - y_2 }{ x_2 - x_1} = \frac{s - q }{ r - p}\)
Question: Is \(\frac{s - q }{ r - p} > 0\)?
Statement 1: p < 0 and q < 0
No comparison of p, q with r, s hence
NOT SUFFICIENT
Statement 2: r > 0 and s < 0
No comparison of p, q with r, s hence
NOT SUFFICIENT
COmbining the statements
p < 0 and q < 0 and r > 0 and s < 0
i.e. Although r-p is positive BUT
s-q may be positive or negative based on their absolute values hence
NOT SUFFICIENT
Answer: Option E
