A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?

A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5 ? 

The greatest 4-digit number which is a perfect square is

When (6767 +67) is divided by 68, the remainder is-

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

The east positive integer that should be subtracted from 3011 x 3012 so that the difference is a perfect square is-

If the 5-digit number 535ab is divisible by 3, 7 and 11, then what is the value of (a² - b² + ab)?

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by