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26 May 2023, 01:30
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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:
35%
(medium)
Question Stats:
60% (01:31) correct
40%
(01:30)
wrong
based on 65
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If x and y are integers, is x even?
(1) x+y=y^5
(2) x+y=3y
(1) x+y=y^5
(2) x+y=3y
26 May 2023, 01:42
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(1) Only
I actually started with a few simple cases.
If y=1, x=0 (even)
If y=2, x=30 (even)
At this point, I realize that y^5 and y must be both even or both odd.
That means x must be even. Sufficient.
(2) Only
x=2y and thus must be even.
Sufficient.
The answer is thus (D).
I actually started with a few simple cases.
If y=1, x=0 (even)
If y=2, x=30 (even)
At this point, I realize that y^5 and y must be both even or both odd.
That means x must be even. Sufficient.
(2) Only
x=2y and thus must be even.
Sufficient.
The answer is thus (D).
26 May 2023, 02:10
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St1:
x+y=y^5
x= y (y^4 - 1)
If y =odd, x= Odd * even
y=even, x= even*odd
X is always even.
Sufficient
St2:
x+y=3y
x=2y
X is always even.
Sufficient
Answer: Option D
x+y=y^5
x= y (y^4 - 1)
If y =odd, x= Odd * even
y=even, x= even*odd
X is always even.
Sufficient
St2:
x+y=3y
x=2y
X is always even.
Sufficient
Answer: Option D
