### All GRE Subject Test: Math Resources

## Example Questions

### Example Question #1 : Finite, Infinite, Countable, Not Countable Classifications

Which of the following sets is not an infinite set??

**Possible Answers:**

All numbers between and

All whole numbers ,

**Correct answer:**

All whole numbers ,

Step 1: Determine the difference between Infinite and Finite Sets...

Finite Sets: A set that has very limited elements in it

Infinite Sets: Any set where I can always find another number between two given boundaries.

The Set of integers and rational numbers are infinite sets..

All numbers between and is also an infinite set because I can come up with infinite decimal numbers..

The set of whole numbers between and inclusive is a finite set because I ask for a specific type of number.. a whole number. Whole numbers cannot be decimals..

### Example Question #2 : Finite, Infinite, Countable, Not Countable Classifications

Which of the following is a finite set?

**Possible Answers:**

All whole numbers between and , inclusive

All real numbers between and

**Correct answer:**

All whole numbers between and , inclusive

Note: The set of real numbers , natural numbers are both infinite sets.

Step 1: The set of real numbers between two numbers is also an infinite set.

Step 2: The set of whole numbers between and inclusive is finite because there are only three numbers that are represented by the set. These numbers are .

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