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Question

What is the value of cube root of 4913 ?
Use estimation method to find the cube root.

A
18
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B
15
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C
16
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D
17
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Solution

The correct option is B 17

Step I : Form groups of 3 starting from right most digit of 4913, i.e. ¯¯¯4¯¯¯¯¯¯¯¯913

Then, the two groups are 4 and 913.

Here, 4 has only 1 digit and 913 has 3 digits.


Step II : Take 913

Digit in unit place =3

Therefore, we take one's place of required cube root as 7 .... [Since, 73=343]


Step III : Now, take the other group 4

We search for the largest cube number which is less than the number in the second group.

Number in the second group is 4

And also, we know, 14<8

134<23

Here, the smallest number among 1 and 2 is 1

Therefore, we take 1 as ten's place.

34913=17


Hence, option D is correct.


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