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17 Apr 2023, 11:45
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B
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:
87% (01:00) correct
13%
(01:25)
wrong
based on 30
sessions
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Time
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Not Attempted Yet
If x and y are integers, is \(4x^2-y^2\) an odd number?
(1) x is an odd number
(2) y is an odd number
(1) x is an odd number
(2) y is an odd number
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
17 Apr 2023, 13:48
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Bunuel
Question:
\(4x^2-y^2\) = odd
\(\text{even} - y^2 = \text{odd}\)
\(y^2 = \text{even - odd} = \text{odd}\)
Target Question: Is y = odd?
Statement 1
(1) x is an odd number
Insufficient, as no information is given about y. We can eliminate A and D.
Statement 2
(2) y is an odd number
This matches the target question. Hence, the statement is sufficient.
Option B
17 Apr 2023, 23:03
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Question:
is 4x^2 - y^2 = odd number
even - odd =odd
4x^2 = even
we need to find if y^2 is Odd or not.
for y^2 to be odd ,
So we need to find
y=odd ?
(1) x is an odd number
Insufficient, as no information is given about y. NS
(2) y is an odd number
Sufficient
Answer : B
is 4x^2 - y^2 = odd number
even - odd =odd
4x^2 = even
we need to find if y^2 is Odd or not.
for y^2 to be odd ,
So we need to find
y=odd ?
(1) x is an odd number
Insufficient, as no information is given about y. NS
(2) y is an odd number
Sufficient
Answer : B
