Quantitative Aptitude Ques 204

Question: Directions: What will come in place of question mark (?) in the given questions’? [SBI Associate (Clerk) 2014]

$ \frac{\sqrt{(180)}\times \sqrt{(18)}\times \sqrt{(5)}\times \sqrt{(3)}}{\sqrt{(96)}\times 5}=? $

Options:

A) $ 5\frac{1}{2} $

B) $ 2\frac{3}{4} $

C) $ 1\frac{1}{2} $

D) $ 4\frac{1}{2} $

E) $ 5\frac{2}{3} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \frac{\sqrt{180}\times \sqrt{18}\times \sqrt{5}\times \sqrt{13}}{\sqrt{96}\times 5}=\sqrt{\frac{180\times 18\times 5\times 3}{96\times 25}} $ $ =\sqrt{20.25}=4.5=4\frac{1}{2} $