Let A be the greatest number that will divide 505, 555 and 605, leaving the same remainder in each case. Then sum of the digits in a is:

$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{10} =$

The value of $\left(\frac{x}{y}\right)^{2a-3b} \times \left(\frac{x}{y}\right)^{3b-4c} \times \left(\frac{x}{y}\right)^{4c-2a}$

Consider the following statements:

I. If x and y are composite numbers, then x+y is always composite.

II. There does not exist a natural number which is neither prime nor composite.

Which of the above statements is/are correct?

What is the remainder when the number $(44)^2$ is divided by 9?

Which of the following statements is/are correct about irrational numbers?

(A) The sum of two rational numbers is always irrational.

(B) $\pi$ is an irrational number.

(C) The value of $\sqrt{49}$ is an irrational number.

(D) The value of $\sqrt{5}$ is an irrational number.

Choose the correct answer from the options given below:

$-224 + (-314) \times 9 = ?$