If x, y, z are natural numbers, then the number of different solutions of the equation x + y + z = 6 are:

Difference between squares of two consecutive numbers is 59. What are the numbers?

There are two natural numbers x and y, where x >.y When x is divided by 6, it leaves the remainder 2 and; when y is divided by 6, it 22. leaves the remainder 3. What is the remainder when (x - y) is…

The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The number are

If p is the difference between a number and its reciprocal and q is the difference between the square of the same number and the square of its reciprocal, then what is p⁴ + 4p² equal to ?

The sum of first 45 natural numbers is: