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Question

The least positive integer n for which 3n+13n<112 is


A

6

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B

7

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C

8

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D

9

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Solution

The correct option is C

8


(n+1)1/3(n)1/3<112

(n+1)1/3<(n)1/3+112

Cube both side are get

(n1/3)(n1/3+112)>1727432

So, n = 8 only possible least positive integer.


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