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GRE Quantitative Reasoning QUESTION #8174
Question 1

Given that $st = \sqrt{10}$, compare:

Quantity A: $s^2$

Quantity B: $\dfrac{10}{t^2}$

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

From $st = \sqrt{10}$, squaring both sides: $(st)^2 = 10$, so $s^2 t^2 = 10$.

Therefore $s^2 = \dfrac{10}{t^2}$.

Quantity A $= s^2 = \dfrac{10}{t^2} =$ Quantity B.

The two quantities are equal.