| While solving a problem, by mistake, Anita squared a number and then subtracted 25 from it rather than first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number? |
| [SSC (CGL) Mains 2014] |
A) 13
B) 38
C) 48
D) Cannot be determined
Correct Answer: A
Solution :
| Let the given number be x. |
| Then, \[{{(x-25)}^{2}}={{x}^{2}}-25\] |
| \[\Rightarrow \] \[{{x}^{2}}+625-50x={{x}^{2}}-25\] |
| \[\Rightarrow \] \[50x=650\]\[\Rightarrow \]\[x=\frac{650}{50}=13\] |
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