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CAT 2018 Question Paper (Slot 2) Question 90
Question 90

The smallest integer n for which $$4^{n} > 17^{19}$$ holds, is closest to

Solution

$$4^{n} > 17^{19}$$

$$\Rightarrow$$ $$16^{n/2} > 17^{19}$$

Therefore, we can say that n/2 > 19

n > 38

Hence, option D is the correct answer. 


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