| Directions: What approximate value should come in place of question mark (?) in the given questions? (You are not expected to calculate exact value.) [NICL (AO) 2014] |
| \[\sqrt{{{(5)}^{2}}\times 14-6\times 7+{{(4)}^{?}}}=18\] |
A) 1
B) 3
C) 4
D) 5
E) 2
Correct Answer: E
Solution :
| \[\sqrt{{{(5)}^{2}}\times 14-6\times 7+{{(4)}^{?}}}=18\] |
| \[\Rightarrow \] \[\sqrt{25\times 14-6\times 7+{{(4)}^{?}}}=18\] |
| \[\Rightarrow \] \[\sqrt{350-42+{{(4)}^{?}}}=18\] |
| \[\Rightarrow \] \[[308+{{(4)}^{?}}]={{(18)}^{2}}\] |
| \[\Rightarrow \] \[{{(4)}^{?}}=324-308=16\] |
| \[\Rightarrow \] \[{{(4)}^{?}}={{(4)}^{2}}\] |
| \[\Rightarrow \] \[?=2\] |
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