Home › MCQs › GRE Quantitative Reasoning › Question #8106
Back to Questions
GRE Quantitative Reasoning QUESTION #8106
Question 1

Team $X$ scored $p$ points more than team $Y$, and the two teams together scored a total of 10 points.

Compare:

Column A: Twice the number of points team $Y$ scored

Column B: $10 - p$

  • 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

Let team $Y$'s score $= y$. Then team $X$'s score $= y + p$.

Together: $y + (y + p) = 10 \Rightarrow 2y + p = 10 \Rightarrow 2y = 10 - p$.

Column A $= 2y = 10 - p$ = Column B.

The two quantities are equal.