Quantitative Aptitude Ques 2153

Question: 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 $

Options:

A) 1682

B) 1024

C) 1582

D) 678

E) 1884

Show Answer

Answer:

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 $