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# General Logic

Although the College Board lists logic as only 10% of the total test it is at least 10% and some people have reported it has being more. This is not a section you should skip.

Perhaps your thinking why do I need to study logic, after all arenât we all logical? Well in some ways youâre right as you may be ready to answer some of the logical problems. What you are probably not familiar with is how you turn logical sentences such as: âIf itâs raining then I wear my raincoatâ into a mathematical form.

## Conditional Statements

A conditional statement will usually follow the following form although you may see other forms as well.

âIf A happens then B happensâ

Conditional statements can be broken down into variables. Variables are usually a letter that represents an action or proposition in a logical sentence.

Example of using variables:
------------------------------------------------------------------------
âIf it is raining then I wear my raincoatâ

This conditional statement could be written as:

If A then B

Where

A = It Is raining
B = I wear my raincoat
------------------------------------------------------------------------

By giving variables to conditional statements we can easily manipulate the data and treat it like a math equation.

All variables have either 2 states being True or False. So in the previous example we could say.

When (A = true) then (B = True)

## Hypothesis and Conclusion

If we take our conditional statement of âIf A then Bâ we can break it down into 2 pieces the hypothesis and the conclusion. The hypothesis is the first condition that needs to be fulfilled or whatever comes after the âIfâ in this case it is A. The conclusion is what happens after the âthenâ and in this case is âBâ. So in the statement âIf it is raining then I wear my raincoatâ the hypothesis is âit is rainingâ and the conclusion is âI wear my raincoatâ.