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Question

The cube of a two digit number may be a three digit number.

A
True
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B
False
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C
Insufficient Data
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D
None of these
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Solution

The correct option is B False
Multiplying a number with n digits with a number with m digits, will give another number with m+n or less digits.
Then, the cube of a two digit number will clearly have more than three digits.
Eg. The smallest two digit number is 10, whose cube is 103=1000, which is a four digit number.
That is, the given statement is false.
Hence, option B is correct.

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