| Direction: Find the missing character from the given alternatives. |
  |
A) 3
B) 9
C) 1
D) 2
Correct Answer: D
Solution :
| [d] As, \[\{{{(5)}^{2}}+{{(4)}^{2}}\}-\{{{(3)}^{2}}+{{(2)}^{2}}\}\] |
| \[=(25+16)-(9+4)\] |
| \[=41-13=28\] |
| Similarly, \[\{{{(8)}^{2}}+{{(4)}^{2}}\}-\{{{(8)}^{2}}+{{(?)}^{2}}\}=12\] |
| \[\Rightarrow \]\[(64+16)-\{64+{{(?)}^{2}}\}=12\] |
| \[80-64-{{(?)}^{2}}=12\] |
| \[\Rightarrow \]\[16-{{(?)}^{2}}=12\] |
| \[\Rightarrow \]\[{{(?)}^{2}}=16-12\Rightarrow 4\Rightarrow {{?}^{2}}=4\] |
| So, the missing number=2 |
| Hence option [d] is the correct. |
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