If x is a positive even number, then each of the following is odd except:

A (x+3)(x+5)

B x2+5

C x2+6x+9

D 3x2+4

E None of these

Solution

Correct Answer: Option D

-(x+3)(x+5): even + odd = odd, তাই (odd × odd) = odd
-x²+5: even² = even, তাই (even + odd) = odd
-x²+6x+9: even² = even, 6 × even = even, তাই (even + even + odd) = odd
-3x²+4: 3 × even² = even, তাই (even + even) = even
-None of these
*লক্ষ্য করুন, শুধুমাত্র (D) 3x²+4 হল even। বাকি সবগুলি odd।
*সুতরাং, সঠিক উত্তর হল (D) 3x²+4।

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