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01 Nov 2020, 00:30
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Question Stats:
83% (01:25) correct
17%
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If x is a positive odd integer and y is a negative even integer, which of the following must be true?
A. x^3 + y is a positive odd integer
B. x^2 + y^2 is a negative odd integer
C. x^0 + y^11 is a negative odd integer
D. x + y is a positive odd integer
E. x + y is a negative odd integer
A. x^3 + y is a positive odd integer
B. x^2 + y^2 is a negative odd integer
C. x^0 + y^11 is a negative odd integer
D. x + y is a positive odd integer
E. x + y is a negative odd integer
01 Nov 2020, 09:54
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Bunuel
We can take values and eliminate the options
Option A: \(x^3 + y\) is a positive odd integer.
If x = 1 and y = -2, then 1 - 2 = -1. Statement A is False
Option B: \(x^2 + y^2\) is a negative odd integer. This is not possible as square of a negative number is positive, so the sum will be positive.
Option C: \(x^0 + y^{11}\) is a negative odd integer.
This statement is true as \(x^0\) = 1 and \(y^{11}\) is a negative even integer < 1. The difference will be a negative odd integer.
We can prove that the other options are false, just to be sure.
Option D: x + y is a positive odd integer
If x = 1 and y = -2, then 1 - 2 = -1. Statement D is False
Option E: x + y is a negative odd integer
If x = 3 and y = -2, then 3 - 2 = 1. Statement E is False
Option C
Arun Kumar
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