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If x is an even integer and y is an odd integer, which of the following CANNOT be true?
(A) x^y is an even integer.
(B) y^x is an odd integer.
(C) x is a multiple of y.
(D) y is a multiple of x.
(E) xy is an even integer.
(A) x^y is an even integer.
(B) y^x is an odd integer.
(C) x is a multiple of y.
(D) y is a multiple of x.
(E) xy is an even integer.
06 Jul 2025, 11:36
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Answer is Option (D)
Given: X is an even integer and Y is an odd integer. Let x=20 and y=5
(A) x^y will be even. 20^5 is even
(B) y^x will be odd. 5^20 is odd
(C) x can be a multiple of y. Here 20 can be a multiple of 5.
(D) y cannot be a multiple of x as we can see that 5 cannot be a multiple of 20. So this option is correct.
(E) xy will be an even integer since even numbers multiplied by odd lead to even numbers: 5*20=100 which is even
Given: X is an even integer and Y is an odd integer. Let x=20 and y=5
(A) x^y will be even. 20^5 is even
(B) y^x will be odd. 5^20 is odd
(C) x can be a multiple of y. Here 20 can be a multiple of 5.
(D) y cannot be a multiple of x as we can see that 5 cannot be a multiple of 20. So this option is correct.
(E) xy will be an even integer since even numbers multiplied by odd lead to even numbers: 5*20=100 which is even
Bunuel
