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PS : Basics

Expert replies
by k_rohit » Sun Jun 28, 2020 10:26 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

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
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Source: — Problem Solving |

Re: PS : Basics

by Scott@TargetTestPrep » Sat Jul 04, 2020 12:01 pm
k_rohit wrote:
Sun Jun 28, 2020 10:26 pm
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
Solution:

Choice D is correct since for any other answer choices, you can find at least one counterexample to show the statements in those choices is not correct. Here is a counterexample for each of the answer choices other than D.

A) x = x + 1

B) x^2 = 0

C) 2^0

E) |0|

Answer: D

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