# GRE Official Guide Practice Test 2 Section 5 Part 1

Questions and Solutions for The Official Guide to the GRE Revised General Test, 2nd Edition. (Quantitative Reasoning Section 5 Part 1)

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These are explanations and step by step solutions for The Official Guide to the GRE Revised General Test, 2nd Edition (Practice Test 2, Quantitative Reasoning Section 5, page 456).
GRE Practice Test Second Edition - Complete Paper (pdf)

For each question, indicate the best answer, using the directions given.
Notes: All numbers used are real numbers.
All figures are assumed to lie in a plane unless otherwise indicated.
Geometric figures, such as lines, circles, triangles, and quadrilaterals, are not necessarily drawn to scale. That is, you should not assume that quantities such as lengths and angle measures are as they appear in a figure. You should assume, however, that lines shown as straight are actually straight, points on a line are in the order shown, and more generally, all geometric objects are in the relative positions shown. For questions with geometric figures, you should base your answers on geometric reasoning, not on estimating or comparing quantities by sight or by measurement.
Coordinate systems, such as xy-planes and number lines, are drawn to scale; therefore, you can read, estimate, or compare quantities in such figures by sight or by measurement.
Graphical data presentations, such as bar graphs, circle graphs, and line graphs, are drawn to scale; therefore, you can read, estimate, or compare data values by sight or by measurement.
For each of Questions 1 to 9, compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding circle to the right of the question.
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.

GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 1)

Quantity A
1. 3-1/4-1
Quantity B
4/3
GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 2)

x < 1 and x ≠ 0
Quantity A
2. x2 + 1
Quantity B
x3 + 1

GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 3)

x > 0
Quantity A
3. 0.5% of x
Quantity B
1/2 x
GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 4)

The median income of a group of College C graduates six months after graduation was \$3,000 higher than the median income of a group of College D graduates six months after graduation.

Quantity A
4. The 75th percentile of the incomes of the group of College C graduates six months after graduation
Quantity B
The 75th percentile of the incomes of the group of College D graduates six months after graduation

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