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The cube root of 150 will lie between:
Question

The cube root of 150 will lie between:

A.

4 and 5

B.

6 and 7

C.

7 and 8

D.

5 and 6

Correct option is D

Given:

We need to find the range in which the cube root of 150 lies.

Solution:

53=1255^3 = 125​​

63=2166^3 = 216​​

Since 125 < 150 < 216,
1503\sqrt[3]{150}​ lies between 5 and 6.

Answer: D (5 and 6)

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