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08 May 2020, 03:30
Kudos
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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:
15%
(low)
Question Stats:
79% (01:04) correct
21%
(01:06)
wrong
based on 447
sessions
History
Date
Time
Result
Not Attempted Yet
If a and b are nonzero, does the point (a,b) lie in the quadrant II of the xy plane?
(1) a = -b
(2) a < 0
Attachment:
1.png [ 2.54 KiB | Viewed 15329 times ]
08 May 2020, 03:49
Kudos
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Statement 1-
It tells that a and b have opposite signs. (a,b) lies in 2nd or 4th quadrant.
Insufficient
Statement 2
Sign of a is negative. (a,b) lies in 2nd or 3rd quadrant.
Insufficient
Combining both statements
(a,b) lies in 2nd quadrant.
Sufficient
It tells that a and b have opposite signs. (a,b) lies in 2nd or 4th quadrant.
Insufficient
Statement 2
Sign of a is negative. (a,b) lies in 2nd or 3rd quadrant.
Insufficient
Combining both statements
(a,b) lies in 2nd quadrant.
Sufficient
Bunuel
08 May 2020, 05:35
Kudos
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Bunuel
Solution
Step 1: Analyse Question Stem
- • \(a ≠ 0\)
• \(b≠ 0\)
- • So, if we know the sign of a and b we can decide whether point(a,b) lies in quadrant II or not.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: a = -b
- • Per this statement, we can say that a and b have opposite signs. So
- o Case I: If \(b > 0\) then \(a < 0 \)
- Hence, point (a, b) lies in II quadrant.
- Hence, point (a, b) lies in IV quadrant.
Statement 2: a < 0
- • We don’t know about b. So,
- o Case I: If \(b > 0\) then point (a,b) lies in II quadrant.
o Case II: If \(b < 0\), then point(a,b) lies in III quadrant.
Step 3: Analyse Statements by combining.
- • From statement 1:
- o If \(b > 0 \) then \(a < 0\)
o And , if \(b < 0\) then \(a > 0\)
• On combining both statements, we get,
- o \(a < 0\) and \(b > 0\)
o Therefore, point (a, b) lies in II quadrant.
