Quantitative Aptitude Ques 2152

Question: Directions: What approximate value will come in place of question mark (?) in the given questions? (You are not expected to calculate exact value.) [IBPS (SO) IT 2015]

$ ({{41.99}^{2}}-{{18.04}^{2}})-?={{13.11}^{2}}-138.99 $

Options:

A) 4004

B) 1200

C) 1720

D) 8432

E) 1410

Show Answer

Answer:

Correct Answer: E

Solution:

  • $ ({{41.99}^{2}}-{{18.04}^{2}})-?={{13.11}^{2}}-138.99 $

$ \Rightarrow $ $ (42^{2}-18^{2})-?={{(13)}^{2}}-139 $

$ \Rightarrow $ $ {(42+18)(42-18)}-?=169-139 $

$ \Rightarrow $ $ (60\times 24)-?=30 $

$ \Rightarrow $ $ 1440-?=30 $

$ \Rightarrow $ $ ?=1410 $