Quantitative Aptitude Ques 1911

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

$ {{31.95}^{2}}-{{12.05}^{2}}+(1987.25+21.85)+?=900 $

Options:

A) 115

B) 120

C) 90

D) 85

E) 100

Show Answer

Answer:

Correct Answer: E

Solution:

  • $ {{31.95}^{2}}-{{12.05}^{2}}+(1987.25+21.85)\div ?=900 $ $ \approx 32^{2}-12^{2}+(1987+22)\div ?=900 $

$ \Rightarrow $ $ 1024-144+2009\div ?=900 $

$ \Rightarrow $ $ 880+\frac{2009}{?}=900 $

$ \Rightarrow $ $ \frac{2009}{?}=20 $
$ \Rightarrow $ $ {?}=\frac{2009}{20}\approx 100 $