Squaring of numbers that end in 5

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.

Contrapositive of the statement. If the squares of two numbers are equal then the numbers are equal is (A) If the squares of two numbers are equal then the numbers are equal (B) If the squares of two numbers are not equal then the numbers are not equal (C) If two numbers are not equal then the square of the numbers are not equal (D) If squares of two numbers are equal then the numbers are to equal

The number of zeroes at the end of the square of a number is _______ the number of zeroes at the end of the number

The square of a number of the form a 5 (where a is tens digit and 5 is units digit) is the number which ends in 25 and has the number a(a+1) before 25

The sum of the squares of 2 numbers is 146 and the square root of one of them is sqrt(5) . The cube of the other number is

Property 4 Cubes of the numbers ending in digits 1456 and 9 are the numbers ending in the same digit.Cubes of numbers ending in digit 2 ends in digit 8 and the cube of numbers ending in digit 8 ends in digit 2. The cubes of the numbers ending in digits 3 and 7 ends in digit 7 and 3 respectively.

Property 3 Square of even numbers are always even numbers and squares of odd numbers are always odd numbers.

Property 2 The number ends in an odd number of zeros then it does not have a square root.If a square number is followed by an even number of zeros it has a square root in which the number of zero in the end is half the number of zero in the number.