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Q.

State true or false. 

(i) Cube of any odd number is even. [[1]].

(ii) A perfect cube does not end with two zeros. [[2]].

(iii) If square of a number ends with 5, then its cube ends with 25. [[3]] 

(iv) There is no perfect cube which ends with 8. [[4]] 

(v) The cube of a two digit number may be a three digit number. [[5]] 

(vi) The cube of a two digit number may have seven or more digits. [[6]]

(vii) The cube of a single digit number may be a single digit number. [[7]]

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a

True,False

answer is A, B.

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Detailed Solution

(i) We know that cube of a number a=a3

     So, cube of an odd number is an odd number.

     Therefore, the answer is false.

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State true or false. (i) Cube of any odd number is even. [[1]].(ii) A perfect cube does not end with two zeros. [[2]].(iii) If square of a number ends with 5, then its cube ends with 25. [[3]] (iv) There is no perfect cube which ends with 8. [[4]] (v) The cube of a two digit number may be a three digit number. [[5]] (vi) The cube of a two digit number may have seven or more digits. [[6]](vii) The cube of a single digit number may be a single digit number. [[7]]