Quantitative Aptitude Ques 1285

Question: The product of two consecutive even numbers is 3248. Which is the larger number? [IBPS (PO) 2013]

Options:

A) 58

B) 62

C) 56

D) 60

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Here, let the one even number be $ x. $ Then, another even number is $ (x+2). $ Now, $ x(x+2)=3248 $ or $ x^{2}+2x-3248=0 $

$ \Rightarrow $ $ x^{2}+58x-56x-3248=0 $ [by splitting the middle term]

$ \Rightarrow $ $ x(x-56)+58(x-56)=0 $

$ \Rightarrow $ $ (x+58)(x-56)=0 $

$ \Rightarrow $ $ x=56 $

$ \therefore $ Larger number $ =x+2 $

$ \Rightarrow $ $ 56+2=58 $

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