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Q.

You are told that 1331 is a perfect square. Can you guess without factorisation, what is its cube root? Similarly, guess the cube root of 4913, 12167, 32768:

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a

17, 25, 32

b

17, 23, 32

c

18, 25, 23

d

17, 20, 32

answer is B.

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Detailed Solution

Concept: Here, we use the concept of dividing into three groups from the right end to find the required cube root unit position from the groups. Similarly, find one tenth of the required cube roots in the group and get that number of the required cube roots.
The number given is 1331. Start with the rightmost digit and form a 3-digit group. Therefore, the two groups are 1 and 331 .
Consider a group: 331
Let 1 be the unit square of the required cube root.
Consider a group: 1
Since the unit of 1 is 1 itself, the tens digit of the cube root of 1331 is set to 1. therefore,

resemble,

Question Image

Hence, the correct answer is (2).

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