Questions and Solutions for The Official Guide to the GRE Revised General Test, 2nd Edition. (Quantitative Reasoning Section 6 Part 4)

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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 6, begins on page 464).

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 6 solution for question 14)**

14. On a radio tower, a red light flashes every 6 seconds and a blue light flashes every 10 seconds. If both lights flash together at a certain time, how many seconds later will both lights flash together the next time?

** GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 6 solution for question 15)**

15. If a < b < 0,which of the following numbers must be positive?

Indicate all such numbers.

A a - b

B a^{2} - b^{2}

C ab

D a^{2}b

E a^{2}b + ab^{2}

** Practice Test 2 Second Edition. (Quantitative Reasoning Section 6 solution for question 16)**

16. A flat rectangular picture, represented by the unshaded region in the figure above, is mounted in a flat rectangular frame, represented by the shaded region. The frame is 1 inch wide on all sides. For what value of x, in inches, is the area of the frame equal to the area of the picture?

A 4

B 5

C 6

D 7

E 8

**GRE Practice Test 2 Second Edition. (Quantitative Reasoning Section 6 solution for question 17)**

17. The number of people in group 2 who have hay fever is how much greater than the number of people in group 1 who have hay fever?

A 37

B 35

C 32

D 28

E 24

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 6, begins on page 464).

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.

14. On a radio tower, a red light flashes every 6 seconds and a blue light flashes every 10 seconds. If both lights flash together at a certain time, how many seconds later will both lights flash together the next time?

15. If a < b < 0,which of the following numbers must be positive?

Indicate all such numbers.

A a - b

B a

C ab

D a

E a

16. A flat rectangular picture, represented by the unshaded region in the figure above, is mounted in a flat rectangular frame, represented by the shaded region. The frame is 1 inch wide on all sides. For what value of x, in inches, is the area of the frame equal to the area of the picture?

A 4

B 5

C 6

D 7

E 8

17. The number of people in group 2 who have hay fever is how much greater than the number of people in group 1 who have hay fever?

A 37

B 35

C 32

D 28

E 24

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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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