• The product of two consecutive odd numbers is 19043. Which is the smaller one?
 A) 137 B) 131 C) 133 D) 129

 A) 137

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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