What is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case?

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

Twice the difference between two numbers is equal to their sum. If one number is 15, find the other number.

A is inversely proportional to square of B whereas directly proportional to C. Value of A was 27 when value of B was 4 and value of C was 6. Find the value of A when value of B will be 3 and value of C will be 8.

For what value of ‘y’, $$ {x^{2}+{1\over12}{x}+y^{2}}$$ is perfect square?

Two numbers are respectively 30% and 40% less than a third number. What percent is the first number of the second?

If the 5 digit number 538xy is divisible by 3, 7 and 11, then the value of (x² +y²)  is:

Let x be the least number divisible by 13, such that when x is divided by 4, 5, 6, 7, 8 and 12, the remainder in each case is 2. The sum of the digits of x is: