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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: $7$
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.
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