Quantitative Aptitude Ques 52

Question: Directions: What should come at the place of question mark (?) in the following questions? [IBPS (Clerk) 2015]

$ {{(32\times {10^{-5}})}^{2}}\times 64\div (2^{16}\times {10^{-4}})={10^{?}} $

Options:

A) 6

B) 10

C) $ -,8 $

D) $ -,6 $

E) $ -10 $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ {{(32\times {10^{-5}})}^{2}}\times 64\div (2^{16}\times {10^{-4}})={10^{?}} $

$ \Rightarrow $ $ \frac{32\times 32\times {10^{-10}}\times 64}{2^{16}\times {10^{-4}}}={10^{?}} $

$ \Rightarrow $ $ \frac{2^{10}\times {10^{-10}}\times 2^{6}}{2^{16}\times {10^{-4}}}={10^{?}} $

$ \Rightarrow $ $ \frac{2^{16}\times {10^{-10}}\times 10^{4}}{2^{16}}={10^{?}} $

$ \Rightarrow $ $ {10^{-6}}={10^{?}} $

$ \therefore $ $ ?=-,6 $