Gujarat BoardEnglish MediumSTD 6MATHSAlgebra1 Mark
MCQ
$n^2 - n + 1$ is an odd number for all
A
$\text{n}>1$
B
$\text{n}>5$
✓
$\text{n}\geq 1$
D
$\text{n}\geq5$
✓
Answer
Correct option: C.
$\text{n}\geq 1$
For $n = 1$ we have $n^2 - n + 1 = 1^2 - 1 + 1 = 1$ which is an odd number
For $n = 2$ we have $n^2 - n + 1 = 2^2 - 2 + 1 = 3$ which is an odd number
For $n = 3$ we have $n^2 - n + 1 = 3^2 - 3 + 1 = 7$ which is an odd number
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