GRE Math : How to add even numbers

Study concepts, example questions & explanations for GRE Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

Example Question #1 : How To Add Even Numbers

The sum of seven consecutive even integers is 0.

Column A: The product of the seven integers  

Column B: 2

Possible Answers:

Column A is greater.

Column B is greater.

The relationship cannot be determined from the given information.

The two quantities are equal.

Correct answer:

Column B is greater.

Explanation:

For the sum of 7 consecutive even integers to be zero, the only sequence possible is –6, –4, –2, 0, 2, 4, 6. This can be determined algebraically by assigning the lowest number in the sequence to be “y” and adding 2 for each consecutive even integer, and then setting this equal to zero.

y, y + 2, y + 4, y + 6 . . .

The product of any number and 0 is 0.

Therefore, column B must be greater.

Example Question #2 : Even / Odd Numbers

 and  are both even whole numbers.

What is a possible solution for ?

Possible Answers:

Correct answer:

Explanation:

If  and  are both even whole numbers, then their addition must be an even whole number as well. Although  is an even number, it is not a whole number and could therefore not be a solution. This means the only possible solution would be .

Example Question #3 : Even / Odd Numbers

If John buys twenty-two apples on Monday, and thirty-four bananas on Tuesday, how many pieces of fruit does John have? 

Possible Answers:

Correct answer:

Explanation:

Plugging in the values given we arrive at the total fruit John has:

A good note about adding even numbers--any even numbers--is that if you add two even numbers, their sum will ALWAYS be an even number.  

Example Question #4 : Even / Odd Numbers

Choose the answer below which best solves the following problem:

Possible Answers:

Correct answer:

Explanation:

To deal with a problem with this many digits, often the best strategy is to line up one number over the other, then add the places one at a time.  Don't forget to carry a one every time the addition goes over ten.  Also, note that any time you add two even numbers, their sum will ALWAYS be an even number. 

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: