Home › MCQs › GRE Quantitative Reasoning › Question #8104
Back to Questions
GRE Quantitative Reasoning QUESTION #8104
Question 1

For all real numbers $a$, let $a^* = 1 - a$.

Compare:

Column A: $((-1)^*)^*$

Column B: $2^*$

  • Column A is greater
  • Column B is greater
  • The two quantities are equal✔️
  • The relationship cannot be determined from the information given
Correct Answer Explanation

Using the definition $a^* = 1 - a$:

Step 1: $(-1)^* = 1 - (-1) = 2$

Step 2: $((-1)^*)^* = (2)^* = 1 - 2 = -1$

Column A $= -1$

Column B: $2^* = 1 - 2 = -1$

Both quantities equal $-1$, so the two quantities are equal.