PSAT Math : Even / Odd Numbers
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Example Questions
Example Question #1 : How To Multiply Even Numbers
In a group of philosophers, 
In a group of philosophers, 
To start, let's calculate the total philosophers:
Ockham: 
Aquinas: 
Scotus: 
Therefore, the total number is:
Example Question #671 : Arithmetic
If n is an integer that is not equal to 0, which of the following must be greater than or equal to n?
I. 7n
II. n + 5
III. n2
II only
II and III only
I, II, and III
I and III only
I and II only
II and III only
I is not always true because a negative number multiplied by 7 will give a number that is more negative than the original. II is true because adding 5 to any number will increase the value. III is true because squaring any number will increase the magnitude of the value, and squaring a negative number will make it positive.
Example Question #5 : How To Multiply Even Numbers
Which of the following integers has an even integer value for all positive integers 
There are certain patterns that can be used to predict whether the product or sum of numbers will be odd or even. The sum of two odd numbers is always even, as is the sum of two even numbers. The sum of an odd number and an even number is always odd. In multiplication the product of two odd numbers is always odd. While the product of even numbers, as well as the product of odd numbers multiplied by even numbers is always even. So for this problem we need to find scenarios where the only possibile answers are even. 
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