| Directions: What approximate value will come in place of question mark (?) in the given questions? (You are not expected to calculate exact value.) [IBPS (SO) IT 2015] |
| \[\sqrt{(2025.11)}\times \sqrt{256.04)}+\sqrt{(399.95)}\times \sqrt{?}\]\[=33.98\times 40.11\] |
A) 1682
B) 1024
C) 1582
D) 678
E) 1884
Correct Answer: B
Solution :
| \[\sqrt{(2025.11)}\times \sqrt{(256.04)}+\sqrt{(399.95)}\times \sqrt{?}\] |
| \[=33.98\times 40.11\] |
| \[\Rightarrow \]\[\sqrt{(2025)}\times \sqrt{(256)}+\sqrt{400}\times \sqrt{?}=34\times 40\] |
| \[\Rightarrow \] \[45\times 16+20\times \sqrt{?}=34\times 40\] |
| \[\Rightarrow \] \[720+20\times \sqrt{?}=1360\] |
| \[\Rightarrow \] \[20\times \sqrt{?}=1360-720\] |
| \[\Rightarrow \] \[20\times \sqrt{?}=640\] |
| \[\Rightarrow \] \[?={{(32)}^{2}}=1024\] |
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