Be careful! This is integer division.  Therefore, for every division, you will lose your decimal place.  Thus:

i / j is the same as , but it becomes .

Then, you will have .  Once more, you lose the decimal and get  as your result.

Remember that so long as one element of a set of multiplications / divisions is a floating point value, the whole thing will be a floating point value.  Thus, the correct answer is:

double d = 1.0 * 55 / 3;

You have to evaluate the right side:

1.0 * 55 will become 55.0.  This will then finish out as a double in the division and store that value in d.

Note that the following does not work:

double d = (double)(55 / 3);

 This code will first do the integer division 55 / 3.  This will resolve to 18.  Only then will the double cast occur.  This will give you 18.0 but not 18.33333...

Do not over think this.  Begin by evaluating the expression:

d * 100 + d2

This is the same thing as: 

Now, this value is then cast to an integer:

(int)(458.75)

Remember that when you type cast an integer from a double value, you drop the decimal place completely.  You do not round up or down.  You just truncate it off.  Thus, the answer is 458.

The loop in question executes for j values of 5 through 1.  Thus, you will execute 5 times.  For each looping, then you will have:

i = 3 + 3 = 6

i = 6 + 6 = 12

i = 12 + 12 = 24

i = 24 + 24 = 48

i = 48 + 48 = 96

The last value is your answer!

You could always trace the loop in the code manually. You know that it is going to run from l = 23 to l = 26.  Recall that *= could be rewritten:

i = i * (l - 22)

Now, let's consider our first looping. For this, we would have:

i = 5 * (23 - 22) = 5 * 1

Now, let's calculate i for each looping from 23 to 26:

23: 5

24: 5 * (24 - 22) = 5 * 2 = 10

25: 10 * (25 - 22) = 10 * 3 = 30

26: 30 * (26 - 22) = 30 * 4 = 120

Recall that the operator /= could be rewritten:

val = val / 2;

Now, recall also that integer division drops the decimal portion always. Therefore, this program will loop 5 times, doing the division of val by 2 each time. This gives you:

a. 15 = x - 15;

You can not assign a value to an integer because they are not variables and do not store information.

d. x + y = 15

This statement does not assign a value to a single integer, therefore, it is not a valid variable assignment.

The answer is (int) (d - 0.5) because you want roundNumber to be set to -5, and casting a negative number of type double to int will round the number up to the greater integer.

Math.abs(d) returns the absolute value of d, and does not typecast to int. This option will throw an incompatible types compiler error.

If you add the (int) cast to Math.abs(d), you will floor the number, or round down d to 4.

The statement int roundedNumber = (int) (d+.5) will add .5 to -4.67 resulting in (int) -4.17. This will result in roundedNumber being set to -4, since casting a negative double to an int will actually do a cieling operation ( for example (int) -4.99 is still -4). 

Finally, int roundedNumber = Math.abs((int) (d)) casts d to -4 and the takes the absolute value of -4, resulting in 4.

The answer is I and II. 

It is possible to compare primitive types (we are comparing int here) using the == operator, so statement I won't throw an error. Statement II also won't throw an error because the .equals method allows you to compare 2 strings to each other. However, you cannot invoke a method on an int, so statement III will result in an error.