Which of the following must be true?

Question

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.

Gladiator59 · Answer

In my opinion (D) should be correct. Please see attached solution.

Best Regards,
GLadi

Archit3110 · Answer

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

baru · Answer

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

u1983 · Answer

Ans E ( as this is the distance from origin - dirn is not involved)

guptakashish02 · Answer

Answer to question ............................................

Harshit4232 · Answer

It is written, N is an integer, what if it is negative, any odd no. raised to the power by negative integer will reduce down to fraction, it will not remain odd, how can then it be Must be true?

Bunuel · Answer

Correct option D says  (ODD)^N  can never be EVEN, where N is an integer. Not even, does not mean odd.

Which of the following must be true?

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Which of the following must be true?

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