GRE Section 2 Quantitative

GRE Section 2 Quantitative practice questions, page 6 of 17, with answer review and explanations.

Question 26

Ps age is twice Qs age. One year ago, Rs age was exactly half of Ps age at that time.

  1. The quantity in Column A is greater;
  2. The quantity in Column B is greater;
  3. The quantities are equal;
  4. The relationship cannot be determined from the information given.

Question 27

A. The quantity in Column A is greater; B. The quantity in Column B is greater; C. The quantities are equal; D. The relationship cannot be determined from the information given. D Reveal Solution Hide Solution Discussion 241 Suggested Answer: Explanation 🗳️ The inequality ab< 0 tells you that either a or b, but not both, is negative. Since a<b, a must be negative and b must be positive. But you cannot make the comparison between Quantity A and Quantity B. Which is greater depends on the absolute values of the two variables. For example, if a= -1 and b= 2, then On the other hand, if a= -2 and b= 1, then

  1. The quantity in Column A is greater;
  2. The quantity in Column B is greater;
  3. The quantities are equal;
  4. The relationship cannot be determined from the information given. D

Question 28

A. The quantity in Column A is greater; B. The quantity in Column B is greater; C. The quantities are equal; D. The relationship cannot be determined from the information given. Reveal Solution Hide Solution Discussion 241 Suggested Answer: D 🗳️ In the distribution described in Column B, if the third term is the precise average (arithmetic mean) of the other two terms, then Quantity A would equal Quantity B (for example, if the two distributions are {2,4} and {2,3,4}). Otherwise, Quantity B would be greater, since its middle term deviates from the mean of the other two terms.

  1. The quantity in Column A is greater;
  2. The quantity in Column B is greater;
  3. The quantities are equal;
  4. The relationship cannot be determined from the information given.

Question 29

A. The quantity in Column A is greater; B. The quantity in Column B is greater; C. The quantities are equal; D. The relationship cannot be determined from the information given. Reveal Solution Hide Solution Discussion 241 Suggested Answer: B 🗳️ The two number series have in common integers 21 through 50. So you can subtract (or cancel) all of these integers from both sides of the comparison. That leaves you to compare (19 + 20) to 51. You can now see clearly that Quantity B is greater.

  1. The quantity in Column A is greater;
  2. The quantity in Column B is greater;
  3. The quantities are equal;
  4. The relationship cannot be determined from the information given.

Question 30

A. The quantity in Column A is greater; B. The quantity in Column B is greater; C. The quantities are equal; D. The relationship cannot be determined from the information given. Reveal Solution Hide Solution Discussion 241 Suggested Answer: A 🗳️ First, Quantity A:x is the average of 2 and 4; that is, x= 3. Next, Quantity B:y is the average of 3 and 1; that is,y= 2.

  1. The quantity in Column A is greater;
  2. The quantity in Column B is greater;
  3. The quantities are equal;
  4. The relationship cannot be determined from the information given.