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 $