To find squares of 2-digits and 3-digits numbers

The sum of the digits of a 2-digit number is 10. A number is selected at random. Find the probability of the chosen number to be divisible by 3.

A certain number of two digits is three times the sum of its digits. If 45 is added to the number, the digits will be reversed. What is the sum of the squares of the two digits of the number?

The difference of digits of a two digit number is 3. On reversing the digits,the new number is diminished by 27 than the original number. Find the number.

The square root of a 4 digit or a 3 digit (perfect squre ) number is a __________digit number

How many two-digit numbers satisfy this property: The last digit (unit's digit) of the square of the two-digit number is 8?(a)1 (b) 2 (c) 3 (d) None of these

When a two digit number is subtracted from another two digits number consisting of the same digits in reverse order, then the resultant value we get is equal to the sum of the digits of that number. The square of sum of digits of that number can be :

Two units digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.