If a square ends with even number of zeros then a cube ends in odd number of zeros true or false

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Solution

False. 100 × 100 = 10000 ends in even number of zeros. 100 × 100 × 100 = 1000000 also ends in even number of zeros. So the statement If a² ends in an even number of zeros, then a³ ends in an odd number of zeros is not true for all cases.

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Similar questions

(ii) A perfect cube does not end with two zeros.

(iii) If square of a number ends with $5$ , then its cube ends with $25$ .

(iv) There is no perfect cube which ends with $8$ .

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

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

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

5

25

a^{2}

a^{3}

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