maths + java-visual

Which of the following methods is used to return the smallest possible value (mathematical integer) which is either greater or equal to the argument passed?

• ceil()

• atan()

• copySign()

• cosh()

Answer explanation

The answer is A. ceil(). The ceil() method returns the smallest possible value (mathematical integer) which is either greater or equal to the argument passed. This can be seen in the image, where the description for the ceil() method says: "Smallest possible value (mathematical integer) which is ether greater or equal to the argument passed".

What is the output of the following Java program?

• 0.0, 0.0

• NaN, NaN

• Infinity, Infinity

• -Infinity, -Infinity

Answer explanation

The reason for this is that the first expression, Math.pow(x, y), evaluates to NaN because the first operand, x, is equal to -0.0, which is a non-zero number that is less than zero. The second expression, Math.pow(a, b), also evaluates to NaN because the first operand, a, is equal to Double.NEGATIVE_INFINITY, which is a non-finite number.

What is the output of the following code snippet?

• -4, -6, -4, -5, -4, 0

• -6, -4, -5, -4, -4, 0

• -4, -4, -5, -5, -4, 0

• -6, -6, -5, -5, -4, 0

Answer explanation

The reason for this is that the Math.max() method returns the greater of two values, and the Math.min() method returns the smaller of two values. In the code snippet, the values of a, b, and c are all negative. Therefore, the Math.max() method will always return a, and the Math.min() method will always return c. The value of d is 0, so it will be greater than a and less than c.

What is the output of the following code snippet?

• 10, 10

• 10, 10.0

• 10, 10f

• 10, 10.0f

Answer explanation

The reason for this is that the Math.abs() method returns the absolute value of a number. In the code snippet, the value of Valuel is 10, which is positive. Therefore, the Math.abs() method will return the same value, which is 10. The value of Valuef is 10f, which is a float. The Math.abs() method will return the absolute value of Valuef, which is 10.0f.

What is the output of the following code snippet?

• -8.3048106211022167, -0.9524129884151565, 0.320048383379563

• 0.320048383379563, -0.9524129884151565, -8.3048106211022167

• -0.9524129884151565, -8.3048106211022167, 0.320048383379563

• -8.3048106211022167, 0.320048383379563, -0.9524129884151565

Answer explanation

The reason for this is that the Math.sin() method returns the sine of the angle, the Math.cos() method returns the cosine of the angle, and the Math.tan() method returns the tangent of the angle. In the code snippet, the value of a is -68, which is a negative number. Therefore, the sine of a is -8.3048106211022167, the cosine of a is -0.9524129884151565, and the tangent of a is 0.320048383379563.

What is the output of the following code snippet?

• 10.0, 5.0

• 5.0, 10.0

• 15.0, 0.0

• 0.0, 15.0

Answer explanation

The reason for this is that the Math.max() method returns the greater of two values, and the Math.min() method returns the smaller of two values. In the code snippet, the values of a and b are both positive. Therefore, the Math.max() method will return a, which is 10.0, and the Math.min() method will return b, which is 5.0.

What is the output of the following code snippet?

Java

int a = 10;

int b = 5;

int c = 0;

System.out.println(Math.gcd(a, b));

System.out.println(Math.gcd(a, c));

Use code with caution. Learn more

• 5, 0

• 10, 0

• 5, 10

• 0, 10

Answer explanation

The reason for this is that the Math.gcd() method returns the greatest common divisor of two numbers. In the code snippet, the greatest common divisor of a and b is 5, and the greatest common divisor of a and c is 0.

What is the maximum value that can be generated by the rand() method in the code snippet shown in the image?

• 10

• 18

• 20

• 25

Answer explanation

The correct answer is 18. The rand() method in the Java Math class generates a random integer between 0 and the specified maximum value. In this case, the maximum value is set to 18 by the line of code int max = 18;. Therefore, the largest random integer that can be generated by the rand() method is 18.

What is the purpose of the scanner variable in the code snippet shown in the image?

• To scan a document.

• To scan a barcode.

• To get input from the user.

• To print output to the console.

Answer explanation

The correct answer is To get input from the user. The scanner variable is a Scanner object that is used to get input from the user. The line of code Scanner scanner = new Scanner(System.in); creates a new Scanner object and assigns it to the scanner variable. The nextInt() method of the Scanner class is then used to get an integer value from the user. The value that is entered by the user is then stored in the num variable.

What is the result of the Math.pow(2, 10) function in the image?

• 1024

• 1000

• 10

• 2

Answer explanation

The correct answer is 1024. The Math.pow(2, 10) function in the image raises the value of 2 to the power of 10. This means that the function returns the value of 2 multiplied by itself 10 times. The result of this calculation is 1024.