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Question

Quantitative Ability and Data Interpretation Question on Rational or Irrational Numbers

When expressed in a decimal form, which of the following numbers will be non - terminating as well as non- repeating?

A

(π2\frac {π}{2})[(1π\frac{1}{π})+1]-π2\frac {π}{2}

B

sin2^2 1^∘+ sin2^2 2^∘+.... + sin2^2 89^∘

C

2\sqrt{2}(32\sqrt{2} - 4(2)\frac{4}{(\sqrt{2})})+ 3\sqrt 3

D

(72933\frac{\sqrt[3]{729}} {3}) + 227\frac{22}{7}

E

(4-π) [1+(π4\frac{π}{4})+(π4)2(\frac{π}{4})^2 +(π4)3(\frac{π}{4})^3 +……..(infinite terms)]

Answer

2\sqrt{2}(32\sqrt{2} - 4(2)\frac{4}{(\sqrt{2})})+ 3\sqrt 3

Explanation

Solution

The correct option is (C): 2\sqrt{2}(32\sqrt{2} - 4(2)\frac{4}{(\sqrt{2})})+ 3\sqrt 3.