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# The product of two consecutive odd numbers is 19043. Which is the smaller one?

 A) 137 B) 131 C) 133 D) 129

 A) 137

Description for Correct answer:
Let the two consecutive odd numbers are x and x + 2.

According to the question,

$$\Large x \left(x+2\right)=19043$$

$$\Large x^{2}+2x-19043=0$$

$$\Large x^{2}+139x-137x-19043=0$$

$$\Large x \left(x+139\right)-137 \left(x+139\right)=0$$

$$\Large \left(x+139\right) \left(x-137\right)=0$$

= x = 137, -139

x = 137 [ignore -ve sign]

So, the smallest one is 137.

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