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GRE Quantitative Reasoning QUESTION #8102
Question 1

$t$ is a positive integer and $\dfrac{4}{7} = \dfrac{t}{s}$.

Compare:

Column A: $s$

Column B: $7$

  • 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

From $\dfrac{4}{7} = \dfrac{t}{s}$, we get $s = \dfrac{7t}{4}$.

Since $t$ is a positive integer, different values of $t$ yield different results:

  • If $t = 4$: $s = 7$ → Column A $=$ Column B (equal)
  • If $t = 8$: $s = 14 > 7$ → Column A is greater
  • If $t = 2$: $s = 3.5 < 7$ → Column B is greater

Since the result changes depending on $t$, the relationship cannot be determined from the information given.