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02 Oct 2019, 21:53
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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:
81% (01:41) correct
19%
(01:50)
wrong
based on 32
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following statements are true given the condition, x,y & z are all odd?
I. (x^2*y+Y^2*z+Z^2*x)*(xyz) is odd
II.(2*x+3*Y+4*z)(XYZ+6) is even
III.(x+y)(Y+Z)(Z+X) is even
A. I only
B. II only
C. III only
D. I & III
E. I & II
I. (x^2*y+Y^2*z+Z^2*x)*(xyz) is odd
II.(2*x+3*Y+4*z)(XYZ+6) is even
III.(x+y)(Y+Z)(Z+X) is even
A. I only
B. II only
C. III only
D. I & III
E. I & II
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03 Oct 2019, 19:46
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I. \((x^2*y+Y^2*z+Z^2*x)*(xyz)\) is odd--> (Odd*Odd + Odd*Odd + Odd*Odd)*(Odd) --> (Odd)*(Odd) = Odd --> True
II.\((2*x+3*Y+4*z)(XYZ+6)\) is even --> (Even + Odd + Even)(Odd + even) --> (Odd)(Odd) = even --> False
III.\((x+y)(Y+Z)(Z+X)\) is even --> (Odd + Odd)(Odd + Odd)(Odd + Odd) --> (Even)(Even)(Even) = Even --> True
IMO Option D
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