Quantitative Reasoning, Comparison Questions: Basic Example 2

x and m are positive numbers, and m is a multiple of 3
Quantity A                                                      Quantity B
x^m                                                                                      x ^m/3

Again, looking at this logically, since both x and m are variables, with very general conditions, the relationship cannot be determined and the answer is D.

Let’s plug in different numbers for x, but m = 3
m = 3, x = 2
QuantityA = 2³= 8 and QuantityB = 2¹ = 2, so A is greater than B

m= 3, x = 1
QuantityA = 1³ = 1 and QuantityB = 1¹ = 1, so they are equal

With different values plugged in, the answers are different, so the answer is D, the relationship cannot be determined.