All GRE Math Resources
Example Questions
Example Question #81 : Integers
If and are odd integers, and is even, which of the following must be an odd integer?
Even numbers come in the form 2x, and odd numbers come in the form (2x + 1), where x is an integer. If this is confusing for you, simply plug in numbers such as 1, 2, 3, and 4 to find that:
Any odd number + any even number = odd number
Any odd number + any odd number = even number
Any even number x any number = even number
Any odd number x any odd number = odd number
a(b + c) = odd x (odd + even) = odd x (odd) = odd
Example Question #1 : Integers
At a certain high school, everyone must take either Latin or Greek. There are more students taking Latin than there are students taking Greek. If there are students taking Greek, how many total students are there?
If there are students taking Greek, then there are or students taking Latin. However, the question asks how many total students there are in the school, so you must add these two values together to get:
or total students.
Example Question #1 : How To Subtract Odd Numbers
Assume and are both odd whole numbers and .
What is a possible solution for
An odd whole number minus an odd whole number will result in an even whole number. Since , the subtraction will result in a negative even whole number. The only answer that fits these requirements is .
Example Question #1 : How To Subtract Odd Numbers
Choose the answer below which best solves the following equation:
If you have trouble with problems like this, try stacking the numbers, and subtracting one place at a time. First, seven minus one is six, so that's your ones digit. Next, three minus three is zero, so that's your tens digit. Seven minus two is five, so that's your hundreds digit, and finally, one minus zero is one so that's you're thousands digit.
Example Question #91 : Integers
Solve the following:
To solve, simply subtract. If you have trouble subtracting, try splitting the numbers up and adding your results:
Example Question #3 : How To Subtract Odd Numbers
Solve the following:
To perform this operation, simply subtract. If you are having trouble, you can split the problem into two easier to solve portions, by splitting the numbers up:
Example Question #4 : How To Subtract Odd Numbers
Solve the following:
To solve, simply subtract. If you have trouble subtracting, you can split the problem up and add your results back together:
Example Question #92 : Integers
Solve the following:
To solve, simply subtract. If you have trouble subtracting, you can split the numbers up, subtract, and add your results:
Example Question #91 : Integers
What are three consecutive odd integers whose sum equals ?
Set up the equation,
.
Simplify to and solve for x to find .
Therefore the 3 consecutive odd integrers are .
Example Question #13 : Even / Odd Numbers
Assume and are both odd whole numbers and .
What is a possible solution for ?
The two requirements for this problem are that both and must be odd, and that . The only answer that fits both of these is . The other answers show either or is an even number.