Questions and Solutions for The Official Guide to the GRE Revised General Test, 2nd Edition. (Quantitative Reasoning Section 5 Part 6)

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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)

Questions 10 to 25 have several different formats. Unless otherwise directed, select a single answer choice.

For Numeric Entry questions, follow the instructions below.

Numeric Entry Questions

To answer these questions, enter a number by filling in circles in a grid.

• Your answer may be an integer, a decimal, or a fraction, and it may be negative.

• Equivalent forms of the correct answer, such as 2.5 and 2.50, are all correct. Fractions do not need to be reduced to lowest terms, though you may need to reduce your fraction to fit in the grid.

• Enter the exact answer unless the question asks you to round your answer.

• If a question asks for a fraction, the grid will have a built-in division slash (/). Otherwise, the grid will have a decimal point available.

• Start your answer in any column, space permitting. Fill in no more than one circle in any column of the grid. Columns not needed should be left blank.

• Write your answer in the boxes at the top of the grid and fill in the corresponding circles. You will receive credit only if the circles are filled in correctly, regardless of the number written in the boxes at the top.

GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 22)

22. The operation ⦻ is defined for all integers x and y as If x ⦻ y = xy - y. x and y are positive integers, which of the following CANNOT be zero?

A x ⦻ y

B y ⦻ x

C (x - 1) ⦻ y

D (x + 1) ⦻ y

E x ⦻ (y - 1)

GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 23)

23. P, Q, and R are three points in a plane, and R does not lie on line PQ. Which of the following is true about the set of all points in the plane that are the same distance from all three points

A It contains no points.

B It contains one point.

C It contains two points.

D It is a line.

E It is a circle.

GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 24)

24. If which of the following inequalities must be true? x < y < 0, A y + 1 < x B y - 1 < x C xy^{2} < x
D xy < y^{2}
E xy < x^{2}
GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 25)

25. What is the length of a diagonal of a rectangle that has width 5 and perimeter 34 ?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics:

More GRE Resources

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)

Questions 10 to 25 have several different formats. Unless otherwise directed, select a single answer choice.

For Numeric Entry questions, follow the instructions below.

Numeric Entry Questions

To answer these questions, enter a number by filling in circles in a grid.

• Your answer may be an integer, a decimal, or a fraction, and it may be negative.

• Equivalent forms of the correct answer, such as 2.5 and 2.50, are all correct. Fractions do not need to be reduced to lowest terms, though you may need to reduce your fraction to fit in the grid.

• Enter the exact answer unless the question asks you to round your answer.

• If a question asks for a fraction, the grid will have a built-in division slash (/). Otherwise, the grid will have a decimal point available.

• Start your answer in any column, space permitting. Fill in no more than one circle in any column of the grid. Columns not needed should be left blank.

• Write your answer in the boxes at the top of the grid and fill in the corresponding circles. You will receive credit only if the circles are filled in correctly, regardless of the number written in the boxes at the top.

GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 22)

22. The operation ⦻ is defined for all integers x and y as If x ⦻ y = xy - y. x and y are positive integers, which of the following CANNOT be zero?

A x ⦻ y

B y ⦻ x

C (x - 1) ⦻ y

D (x + 1) ⦻ y

E x ⦻ (y - 1)

GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 5 solution for question 23)

23. P, Q, and R are three points in a plane, and R does not lie on line PQ. Which of the following is true about the set of all points in the plane that are the same distance from all three points

A It contains no points.

B It contains one point.

C It contains two points.

D It is a line.

E It is a circle.

24. If which of the following inequalities must be true? x < y < 0, A y + 1 < x B y - 1 < x C xy

25. What is the length of a diagonal of a rectangle that has width 5 and perimeter 34 ?

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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