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Ordering setup notations:
Grouping setup notations:
An equivalent rule is one of the fastest way make a deduction.
Equivalent rules are often derived from conditional rules.
If A lives with B, then C lives with D.
The conditional rule, is itself a deduction i.e Once it is affirmed that A lives with B, it can deduced that C lives with D.
Logically equivalent rule: If it is affirmed that C does not live with D, it can be deduced that A does not live with B.
If A then B.
Equivalent rule: If not A then not B.
If Ann is sleeping, then Barry is sleeping.
If not A then B
Equivalent rule: If not B, then A.
If Anne is not sleeping the Barry is sleeping.
It is often possible to make deductions from elements that appear in more than one rule.
Rule 1: Game A is to be played before game B.
Rule 2: Game B begins on an odd hour.
Common ordering setups:
Ordering setup questions:
Order doesn't matter in groups. If A and B both belong in Group C, it doesn't matter if A comes before or after B.
Common grouping setups:
Grouping setup questions:
In mixed configurations (both ordering and grouping) the rules in the diagram should clearly reflect which of the two they are referring to.
Common mixed setups:
Take special note of key words that define relationships between elements.
Examples include minimum, maximum, exactly, always, never, at least, only, can/cannot be, possible/not possible.
Disregard and brush aside knowledge you may have about a particular topic in a passage. The passages have provide sufficient facts, and all outside knowledge is unecessary.
It can sometimes be helpful to eliminate choices based on rules. Eliminating choices that don't adhere to a specific rule helps avoid situations where all choices are consecutively checked against all rules.
Scenarios can be time saving when groups, and not elements, are restricted to either two or three situations that conform to all stated rules.
Suppose we want to know the order of appearance of six actors in a movie, A,B,C,D,E,F
We know that A comes before D, and that there are three actors between them.
This leaves only two possible scenarios.
First scenario: A _ _ _ D _
Second scenario: _ A _ _ _ D
This is a great way to eliminate choices. Furthermore, an extra rule, such as D appears before F would eliminate the second scenario since D cannot be last.