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 $