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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