The smallest number that must be subtracted from 1000 to make the resulting number a perfect square is 

The largest number of five digits, which is a perfect square is 

The smallest positive integer n for which 864 x n is a perfect cube, is: 

The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is : 

The least number, by which 1944 must be multiplied so as to make the result a perfect cube is 

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

The product of two whole numbers is 37. The square root of the difference of the numbers is

There are some boys and girls in a room. The square of the number of the girls is less than the square of the number of boys by 28. If there were two more girls, the number of boys would have been the same as that of the girls. The total number of the boys and girls in the room are