# Operators and Expressions

Let's test your knowledge on operators and expressions in Java with the following problem statements:

1. Write an expression to add two integers `a` and `b`.
2. Calculate the reminder when dividing an integer `dividend` by another integer `divisor`.
3. Evaluate the expression `5 * (10 + 3)`.
4. Find the result of the expression `(8 - 3) * 2 / 5`.
5. Determine the value of the expression `10 % 3`.
6. Calculate the average of two numbers `num1` and `num2`.
7. Determine whether an integer `number` is even or odd.
8. Calculate the area of a rectangle with length `length` and width `width`.
9. Determine if an integer `year` is a leap year.
10. Calculate the hypotenuse of a right triangle given the lengths of its two legs `a` and `b`.
11. Determine if a given character `ch` is an uppercase letter.
12. Convert temperature from Celsius to Fahrenheit using the formula `F = (C × 9/5) + 32`.
13. Determine if an integer `num` is a multiple of 5.
14. Calculate the perimeter of a square with side length `side`.
15. Determine the result of the expression `(10 > 5) && (8 < 3)`.
16. Determine the result of the expression `(true || false) && (true && false)`.
17. Evaluate the expression `(4 * 3) == (6 * 2)`.
18. Determine the result of the expression `!(5 >= 10)`.
19. Calculate the square of a number `x`.
20. Determine the result of the expression `(7 != 5) || (3 <= 3)`.
21. Write an expression to calculate the area of a circle with radius `r`.
22. Calculate the value of the expression `(5 + 3) * 2`.
23. Determine the result of the expression `(10 - 4) / 2`.
24. Evaluate the expression `2 * (3 + 4) - 5`.
25. Write an expression to convert temperature from Celsius to Fahrenheit using the formula `F = (C × 9/5) + 32`.
26. Calculate the average of three numbers `num1`, `num2`, and `num3`.
27. Determine if a given number `x` is greater than 10 and less than 20.
28. Calculate the volume of a cylinder given its radius `r` and height `h`.
29. Determine the result of the expression `5 * 3 - 2 / 4`.
30. Write an expression to calculate the square root of a number `x`.
31. Determine if a given number `num` is divisible by both 2 and 3.
32. Calculate the total cost of purchasing `quantity` items at `price` each, including a sales tax of 8%.
33. Determine the result of the expression `(4 + 5) == (7 - 2)`.
34. Calculate the distance between two points `(x1, y1)` and `(x2, y2)` using the distance formula.
35. Determine if a given number `num` is a perfect square.
36. Write an expression to find the maximum of two numbers `a` and `b`.
37. Determine if a given character `ch` is a vowel.
38. Calculate the factorial of a non-negative integer `n`.
39. Determine if a given year `year` is a leap year.
40. Write an expression to check if a given number `num` is positive, negative, or zero.

These problems cover various types of operators and expressions in Java, including arithmetic, relational, logical, and conditional expressions.