Question 76

Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?

Solution

Let the three consecutive odd numbers be $$(x-2),(x),(x+2)$$

=> Product = $$(x-2)(x)(x+2)=1287$$

=> $$x(x^2-4)=11\times117$$

=> $$x=11$$ and $$x^2-4=117$$

$$\therefore$$ Largest of the three numbers = $$11+2=13$$

=> Ans - (C)

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