misha wrote a 3 digit number such that its last two digits form the cube of 4 and the left most digit is the cube root of the number which is 2 less than the sum of the last rwo digits . what number does misha wrote.
Answers
Answer:
(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.