Sarthaks Test
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State true or false

(i) The cube of a two digit number may be a three digit number.

(ii) The cube of a two digit number may have seven or more digits.

(iii) The cube of a single digit number may be a single digit number.

1 Answer

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(i) False. The smallest two-digit natural number is 10, and the cube of 10 is 1000 which has 4 digits in it.

(ii) False. The largest two-digit natural number is 99, and the cube of 99 is 970299 which has 6 digits in it. Therefore, the cube of any two-digit number cannot have 7 or more digits in it.

(iii)True, as the cube of 1 and 2 are 1 and 8 respectively.

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