GRE Section 2 Quantitative

Review 416 GRE-SECTION-2-QUANTITATIVE practice questions with answer explanations and community insights.

Question 1

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: C 🗳️ To determine Quantity A, substitute the number 2 for a and for b in the centered equation: (2 + 2)(22 2) = (4)(0) = 0 Follow the same procedure for the quantity in Column B: The quantities in both columns equal zero (0).

  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 2

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 🗳️ You can make the comparison quickly by recognizing that Quantity A is the "difference of two squares" ( ) in the factored form (x + y) (x -y), where y= 2. Or, you can multiply the two binomials in Column A, and then simplify: Quantity A <Quantity B.

  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 3

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: C 🗳️ x+y+ the measure of the third interior angle (lets call it w) = 180. Also, w+z= 180 (because their angles combine to form a straight line). So, you have two equations:x+y+w= 180 or x+y= 180 w w+z= 180 or z= 180 w Therefore, x+y=z (Quantity A = Quantity B)

  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 4

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 🗳️ The centered information establishes that Quantity B, pq, must be negative, because the product of a positive number and a negative number is always negative. As for Quantity A, try substituting some simple numbers for p and q. If p= 1 and q= -1, then p+q= 0 while pq= -1, and therefore Thus, which quantity is greater depends on the values of p and q.

  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 5

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 range of D = 10 - 3 = 7. The median of D = the arithmetic mean of 6 and 9 (the two middle terms) = 7.5.

  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.