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03 Feb 2022, 05:00
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:
5%
(low)
Question Stats:
91% (00:55) correct
9%
(01:12)
wrong
based on 78
sessions
History
Date
Time
Result
Not Attempted Yet
If x is an even integer and y is an odd integer, which of the following must be an even integer?
A. y/x
B. x + y
C. 3x + 2y
D. 3(x + y)
E. 2y/x
A. y/x
B. x + y
C. 3x + 2y
D. 3(x + y)
E. 2y/x
04 Feb 2022, 01:09
Kudos
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Bunuel
x = even integer
y = odd integer
Option C :
3*even = even
2 * odd = even
3x + 2y = even + even = even
Thus option C is the correct answer .
04 Feb 2022, 02:11
Kudos
Bookmarks
Bunuel
We know
Even + Even = Even
Odd + Odd = Even
Even + Odd = Odd
Even/Odd = If it is an integer, then it is even
Odd/Even = Not an integer
x is Even and y is Odd
A. y/x
Odd/Even = Not an integer
B. x + y
Even + Odd = Odd
C. 3x + 2y
3*Even + 2*Odd = Even + Even = Even
Definitely Even
D. 3(x + y)
3*(Even + Odd) = 3*Odd = Odd
E. 2y/x
2*Odd/Even = May be Odd or may not be an integer
e.g. 2*3/4 = Not an integer
2*5/2 = Odd
Answer (C)
