  Question

State true or false.(i) Cube of any odd number is even.(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.

Solution

(i) Cube of any odd number is even.FALSE: Odd multiplied by odd is always odd(ii) A perfect cube does not end with two zeros.TRUE: A perfect cube will end with odd number of zeroes(iii) If square of a number ends with $$5$$, then its cube ends with $$25$$.TRUE: $$5$$ multiplied by $$5$$ any number of times always gives $$5$$ at units place(iv) There is no perfect cube which ends with $$8$$.False:  $$2^{3} =8$$(v) The cube of a two digit number may be a three digit number.FALSE: The smallest two digit number is $$10$$ and $$10^{3}$$ $$=1000$$ is a three digit number(vi) The cube of a two digit number may have seven or more digits.FALSE: $$99$$ is the largest $$2$$ digit number; $$99^{3}$$ $$=989901$$ is a $$6$$ digit number(vii) The cube of a single digit number may be a single digit number.TRUE: $$2^{3} = 8$$ is a single digit number.MathematicsNCERTStandard VIII

Suggest Corrections  0  Similar questions
View More  Same exercise questions
View More  People also searched for
View More 