If is even, which of the following cannot be odd?
If is even, which of the following cannot be odd? Correct Answer 2(n+3)
n + 3 = even + odd = odd3n + 1 = odd×even + odd = even + odd = odd<math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>n</mi><mn>2</mn></msup><mo> + </mo><mn>1</mn><mo> = </mo><mo> </mo><mi>e</mi><mi>v</mi><mi>e</mi><msup><mi>n</mi><mn>2</mn></msup><mo> + </mo><mi>o</mi><mi>d</mi><mi>d</mi><mo> </mo><mo> = </mo><mo> </mo><mi>o</mi><mi>d</mi><mi>d</mi></math>2(n + 3) = 2(even + odd) = even অর্থাৎ দেখা যাচ্ছে option (d) cannot be odd ।সূত্র মনে না থাকলে n কে যে কোন even সংখ্যা (যেমন - 2) ধরেও করা যায়।