GRE Sample Test 5 Quantitative Reasoning 2

Plug in numbers. First, let a = 2, and b = 2. In this case, the value of Quantity A is $\frac{1}{2} + \frac{1}{2}$ = 1. The value of Quantity B is $\frac{1}{\frac{1}{2} + \frac{1}{2}}$ = $\frac{1}{1}$ = 1 In this case, the two quantities are equal. Now, let a = 10 and b = 10. In this case, the value of Quantity A is $\frac{1}{10} + 1{10}$ = $\frac{2}{10}$ = $\frac{1}{5}$. The value of Quantity B is $\frac{1}{\frac{1}{10} + \frac{1}{10}}$ = $\frac{1}{\frac{2}{10}}$ = 5. In this case, Quantity B is greater. A relationship cannot be determined.