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Q.

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

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a

17

b

20

c

25

d

34

answer is A.

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Detailed Solution

Concept- To find the cube root, form a group of numbers with three groups starting on the right, as shown below. Question Image, Apply this concept to find the unit digit of the cube root given the number.
It forms three groups starting with the rightmost number 4913. i.e, Question ImageNext, the two groups are 4 and 913.
Where 4 is only 1 digit and 913 is 3 digits.
Now, Take 913
Unit place digit number = 3.
Therefore, the required cube root squared is 7. Question ImageThen take the other group 4.
 As we know that Question Image3
Where the minimum number between 1 and 2 is 1.
Therefore, use 1 as the tense.  Question ImageHence, the correct answer is option (1).
 
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