| Directions: What value will come in place of question mark (?) in the following questions? |
| \[3\frac{1}{4}+2\frac{1}{2}-1\frac{5}{6}=\frac{{{?}^{2}}}{10}+1\frac{5}{12}\] |
A) 25
B) \[\sqrt{5}\]
C) 625
D) 15
E) 5
Correct Answer: E
Solution :
| \[3\frac{1}{4}+2\frac{1}{2}-1\frac{5}{6}=\frac{{{?}^{2}}}{10}+1\frac{5}{12}\] |
| \[\Rightarrow \]\[\frac{13}{4}+\frac{5}{2}-\frac{11}{6}=\frac{{{?}^{2}}}{10}+\frac{17}{12}\] |
| \[\Rightarrow \]\[\frac{39+30-22}{12}=\frac{6\times {{(?)}^{2}}+85}{60}\] |
| \[\Rightarrow \]\[5\times 47=6\times {{?}^{2}}+85\] |
| \[\Rightarrow \]\[235-85=6\times {{?}^{2}}\]\[\Rightarrow \]\[150=6\times {{?}^{2}}\] |
| \[\Rightarrow \]\[{{?}^{2}}=\frac{150}{6}=25\]\[\Rightarrow \]\[?=5\] |
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