The cube root of 50 lies between which of these numbers?

1 and 2

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2 and 3

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3 and 4

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4 and 5

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Solution

The correct option is C 3 and 4
$1^{3} = 1 2^{3} = 8 3^{3} = 27 4^{3} = 64$
and so on
50 is less than 64 i.e., $4^{3}$ and greater than 27 i.e., $3^{3}$ .
So, the cube root of 50 lies between 3 and 4.

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