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11 Jun 2016, 20:06
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
30% (02:39) correct
70%
(02:24)
wrong
based on 153
sessions
History
Date
Time
Result
Not Attempted Yet
Is |x|*y - x*|y| > x*y, where x and y are non-zero integers?
(1) y < 0
(2) x*y > 0
Self Made
Slightly tricky
(1) y < 0
(2) x*y > 0
Self Made
Slightly tricky
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
11 Jun 2016, 20:06
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OA and OE after some discussion
Is |x|*y - x*|y| > x*y, where x and y are non-zero integers?
\(|x|*y - x*|y| > x*y..............|x|*y >x*|y| + x*y.............|x|y>x(|y|+y)\)
(1) \(y < 0\)
\(|x|y>x(|y|+y)\)
since y<0
ans NO
sufficient
(2) \(x*y > 0\)
this means x and y are of same sign
\(|x|y>x(|y|+y)\)
a) case I - both x and y are >0
ans NO
b) case II - both x and y are < 0
ans NO
sufficient
D
Is |x|*y - x*|y| > x*y, where x and y are non-zero integers?
\(|x|*y - x*|y| > x*y..............|x|*y >x*|y| + x*y.............|x|y>x(|y|+y)\)
(1) \(y < 0\)
\(|x|y>x(|y|+y)\)
since y<0
- # |x|*y<0
# x(|y|+y)=x*0=0
ans NO
sufficient
(2) \(x*y > 0\)
this means x and y are of same sign
\(|x|y>x(|y|+y)\)
a) case I - both x and y are >0
- # |x|y=xy
# x(|y|+y)=2xy
ans NO
b) case II - both x and y are < 0
- # |x|y<0
# x(|y|+y)=x*0=0
ans NO
sufficient
D
11 Jun 2016, 20:23
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Nice Question!!!
St1: y < 0 --> y is negative
y < 0 and x > 0 --> -xy - xy > -xy? --> -2xy > -xy ? No (-2xy is more negative than -xy)
y < 0 and x < 0 --> -xy + xy > xy --> 0 > xy ? No
Sufficient
St2: xy > 0 --> x and y have same signs --> 0 > xy ? No
Sufficient
Answer: D
St1: y < 0 --> y is negative
y < 0 and x > 0 --> -xy - xy > -xy? --> -2xy > -xy ? No (-2xy is more negative than -xy)
y < 0 and x < 0 --> -xy + xy > xy --> 0 > xy ? No
Sufficient
St2: xy > 0 --> x and y have same signs --> 0 > xy ? No
Sufficient
Answer: D
