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Difficulty:
45%
(medium)
Question Stats:
59% (01:13) correct
41%
(01:00)
wrong
based on 79
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(y^2>y*|y|\)?
(1) y is an integer.
(2) y is not a positive integer.
self made.....
_________________
(1) y is an integer.
(2) y is not a positive integer.
self made.....
_________________
Mortysmith
Joined: 01 Dec 2015
Last visit: 10 Jan 2018
Posts: 25
Concentration: Finance, Leadership
Schools: Wharton '19 (M) CBS '19 (D) HBS '19 (D)
GMAT 1: 740 Q49 V41
GPA: 3.95
WE:Business Development (Insurance)
Products:
chetan2u
I believe the answer is E
Fact 1: Y is an integer.
Consider two cases.
- Case 1: Y = to any positive integer then, in this case, the two sides of the equation are equal.
- Case 2: Y = to any negative integer then, in this case, the left side is greater than the right.
Not Sufficient
Fact 2: y is not a positive integer
Consider two cases.
- Case 1: Y = to any negative integer then, in this case, the left side is greater than the right.
- Case 2: Y = 0 then, in this case, the left side is equal to the right.
Not Sufficient
No need to even test the combined because Fact 2 captures Fact 1.
Therefore, the answer is E Not Sufficient
unverifiedvoracity
Joined: 12 Jan 2016
Last visit: 14 Aug 2017
Posts: 56
Location: United States
Concentration: Operations, General Management
Schools: Wharton Exec '21 (A) Haas EWMBA '20 (A)
GMAT 1: 690 Q49 V35
GPA: 3.5
WE:Supply Chain Management (Consumer Electronics)
\(y^2\)> y * |y| will only be true when y <0. So, the question really asks whether y < 0 (or whether y is negative)
1) y is an integer, but y can be positive, negative or zero. Not Sufficient
2) y is not a positive integer, so y is either 0 or negative. Not Sufficient.
Two statements combined are also not sufficient. IMO answer is E.
1) y is an integer, but y can be positive, negative or zero. Not Sufficient
2) y is not a positive integer, so y is either 0 or negative. Not Sufficient.
Two statements combined are also not sufficient. IMO answer is E.
Divyadisha
Current Student
Joined: 18 Oct 2014
Last visit: 01 Jun 2018
Posts: 659
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT 1: 660 Q49 V31
Posts: 659
chetan2u
y^2>y*|y| can be possible if y is -ve
(1) y is an integer. It doesn't tell us if y is +ve, -ve or 0
Insufficient
(2) y is not a positive integer.
It doesn't tell us if y is -ve or 0
Insufficient
Both statements together are insufficient. Hence E should be the answer
GMAT 1: 760 Q51 V42
Posts: 10,057
We can modify the original condition and the question. If y>0, the sign of inequality does not change even if we divide each side by y. Then, we got y>|y|?. However, this is not possible in any cases.
If y<0, and if we divide each side by y, the sign of inequality change. Then we get y<|y|?. The answer is yes.
The questions states y^2>y|y|? and this is same as y<0?.
However, using the condition 1) and the condition 2), we do not have y<0. The condition, hence, is not sufficient and the correct answer is E. In other words, when y=0, the answer is no and when y=-1, the answer becomes yes. The conditions are not sufficient and the correct answer is E.
If y<0, and if we divide each side by y, the sign of inequality change. Then we get y<|y|?. The answer is yes.
The questions states y^2>y|y|? and this is same as y<0?.
However, using the condition 1) and the condition 2), we do not have y<0. The condition, hence, is not sufficient and the correct answer is E. In other words, when y=0, the answer is no and when y=-1, the answer becomes yes. The conditions are not sufficient and the correct answer is E.
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