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17 Feb 2016, 04:14
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:
90% (00:54) correct
10%
(00:47)
wrong
based on 208
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
Kudos for correct solution.
A. y/x
B. x+y
C. 3x + 2y
D. 3(x + y)
E. 2y/x
Kudos for correct solution.
23 Feb 2016, 03:52
Kudos
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Bunuel
Always remember this:
Even + Even = Even
Odd + Even = Odd
Odd + Odd = Even
Even * Even = Even
Odd * Even = Even
Odd * Odd = Odd
Given: x is even and y is odd
Check the options
Option A. y/x - Nothing can be said about whether this will be an integer or not INCORRECT
Option B. x+y - Even + odd = Odd INCORRECT
C. 3x + 2y - 3*even + 2*odd = even + even = even - CORRECT
D. 3(x + y) 3*(even + odd) = 3*odd = odd - INCORRECT
E. 2y/x - Nothing can be said about whether this will be an integer or not INCORRECT
Correct Option: C
24 Feb 2016, 04:28
Kudos
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Bunuel
x is an even integer and y is an odd integer.
Let us look at each option one by one.
A. y/x = odd/even.
This will not even be an integer. Hence, cannot be the answer.
B. x + y = even + odd = odd
Hence, cannot be the answer.
C. 3x + 2y
x is even so 3x is also even. 2y is even irrespective of the fact that y is odd.
so, 3x + 2y = even + even = even.
Hence, this is the correct answer.
D. 3(x + y)
= odd(even +odd)
= odd(odd) = odd
Hence, cannot be the answer.
E. 2y/x
Tricky. 2y is even and x is even
so 2y/x = 2(odd)/even
For this to be an integer, x can only be equal to 2 and if x = 2 then 2y/x = y which is an odd number.
So, 2y/x can only be an integer when x = 2 and even in that case 2y/x will not be even.
Hence, this cannot be the correct answer.
