Which of the following statement is correct? (a) Cube of odd number is even (b) A prefect cube does not end with two zeros (c) There is no prefect cube which ends with 8 (d) Cube of negative integers are negative *
Answers
Answer:
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.
Answer:
d) is the correct answer