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

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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, begins on 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.

The graph above shows the frequency distribution of 50 integer values varying from 1 to 6.

Quantity A

5. The average (arithmetic mean) of the 50 values

Quantity B

The median of the 50 values

Quantity A

6. The area of triangle PQR

Quantity B

The area of triangle PSR

Quantity A

7. The sum of the odd integers from 1 to 199

Quantity B

The sum of the even integers from 2 to 198

s and t are positive integers, and 32

Quantity A

8. s/t

Quantity B

1/5

In a quality-control test, 50 boxes—each containing 30 machine parts—were examined for defective parts. The number of defective parts was recorded for each box, and the average (arithmetic mean) of the 50 recorded numbers of defective parts per box was 1.12. Only one error was made in recording the 50 numbers: “1” defective part in a certain box was incorrectly recorded as “10”.

Quantity A

9. The actual average number of defective parts per box

Quantity B

0.94

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