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Which of the following must be true?

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Which of the following must be true?  [#permalink]

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13 Oct 2018, 10:09
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Difficulty:

65% (hard)

Question Stats:

42% (01:10) correct 58% (01:16) wrong based on 62 sessions

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Which of the following must be true?
A) A Linear equation in one variable always gives a unique value of x.
B) A Quadratic equation in one variable always gives two unique value of x.
C) $$(EVEN)^N$$ is always EVEN, Where N is an integer
D)$$(ODD)^N$$ can never be EVEN, Where N is an integer
E) |x| is always Positive.

Weekly Quant Quiz #4 Ques 3

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Re: Which of the following must be true?  [#permalink]

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13 Oct 2018, 10:15
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In my opinion (D) should be correct. Please see attached solution.

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Re: Which of the following must be true?  [#permalink]

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13 Oct 2018, 10:30
Which of the following must be true?
A) A Linear equation in one variable always gives a unique value of x.
B) A Quadratic equation in one variable always gives two unique value of x.
C) (EVEN)N(EVEN)N is always EVEN, Where N is an integer
D)(ODD)N(ODD)N can never be EVEN, Where N is an integer
E) |x| is always Positive.

D&E should be right
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Re: Which of the following must be true?  [#permalink]

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13 Oct 2018, 10:37
OA : D

A) A Linear equation in one variable always gives a unique value of x. ==> Can have no solution some times
B) A Quadratic equation in one variable always gives two unique value of x.==> can have x as same values as ==> X^2 -4 = 0 , where x have { 2,2 } values
C) Even ^N is always EVEN, Where N is an integer ==> when n is Zero ==False
D) Odd ^ N is can never be EVEN, Where N is an integer ==> True for all values of N as Odd * Odd is always ODD , True for N = 0 as well , as 3^0 = 1 which is ODD
E) |x| is always Positive ===> false for x = 0
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Re: Which of the following must be true?  [#permalink]

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13 Oct 2018, 10:39
Ans E ( as this is the distance from origin - dirn is not involved)
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Re: Which of the following must be true?  [#permalink]

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13 Oct 2018, 11:00
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Re: Which of the following must be true?   [#permalink] 13 Oct 2018, 11:00
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