Q.

Find the cube root of 32768.

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a

42

b

22

c

12

d

32

answer is A.

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Detailed Solution

The cube root of 32768 is found by the following steps:

Step 1: Form groups of three starting from the rightmost digit of 32768. In this case one group i.e., 768 has three digits whereas 32 has only two digits.

Step 2: Take 768. The digit 8 is in its one's place and only a cube of 2 can give 8. We take the one’s place of the required cube root as 2.

Step 3: Take the other group, i.e., 32. The Cube of 3 is 27 and the cube of 4 is 64. 32 lies between 27 and 64. The smaller number between 3 and 4 is 3. Take 3 as ten’s place of the cube root of 32768.

Thus, 327683=32.

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