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GRE Quantitative Practice, Quantitative Comparison

Question 3

Quantity A

The square root of 30

Quantity B

The greatest prime
factor of 30

  1. Quantity A is greater.
  2. Quantity B is greater.
  3. The two quantities are equal.
  4. The relationship cannot be determined from the information given.

Explanatory Answer

First estimate Quantity A. Since 52 = 25 and 62 = 36, the square root of 30 must be a non-integer between 5 and 6. As for Quantity B, the greatest prime factor of 30 is 5. Therefore, Quantity A is greater than Quantity B. The correct response is (A).