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Year

CAT 2021

Section

Quantitative

Topic

Surds and Indices

Difficulty

Medium

Question

Slot-3

If nn is a positive integer such that (107)(107)2(107)n>999(\sqrt[7]{10})(\sqrt[7]{10})^{2} \ldots(\sqrt[7]{10})^{n}>999 , then the smallest value of nn is

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