The user-friendly version of this content is available here.
The following content is copyright (c) 2009-2013 by Goods of the Mind, LLC.
This problem trains for: SAT-I, AMC-8, GMAT, AMC-10.
If ? is defined as:
which one(s) of the following statements is/are true?
Notice that the expression resulting from the application of the operator is symmetric with respect to the two operands m and n. This means that interchanging them will not change the expression. Therefore, I is true. The operator is commutative.
and IV is also true. The operator is associative.
Applying the operator in a similar manner on the remaining two statements shows that they are not true.