| 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] |
| \[{{31.95}^{2}}-{{12.05}^{2}}+(1987.25+21.85)+?=900\] |
A) 115
B) 120
C) 90
D) 85
E) 100
Correct Answer: E
Solution :
| \[{{31.95}^{2}}-{{12.05}^{2}}+(1987.25+21.85)\div ?=900\] |
| \[\approx {{32}^{2}}-{{12}^{2}}+(1987+22)\div ?=900\] |
| \[\Rightarrow \]\[1024-144+2009\div ?=900\] |
| \[\Rightarrow \] \[880+\frac{2009}{?}=900\] |
| \[\Rightarrow \] \[\frac{2009}{?}=20\]\[\Rightarrow \]\[{?}=\frac{2009}{20}\approx 100\] |
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