If x is an integer, then which of the following statements about x2 - x - 1 is true?
Solution
Correct Answer: Option A
If x = 1,
x2 - x - 1 = 12 - 1 - 1 = - 1
so, the value can be negative.
x = even,
x2 will be even,
x2 - x will also be even,
x2 - x - 1 will be odd.
x = odd,
x2 will be odd,
x2 - x will also be even,
x2 - x - 1 will be odd.
So, It is always odd.
x2 - x - 1 = 12 - 1 - 1 = - 1
so, the value can be negative.
x = even,
x2 will be even,
x2 - x will also be even,
x2 - x - 1 will be odd.
x = odd,
x2 will be odd,
x2 - x will also be even,
x2 - x - 1 will be odd.
So, It is always odd.
Practice More Questions on Our App!
Download our app for free and access thousands of MCQ questions with detailed solutions