The quantitative reasoning measure has four types of questions:

- Quantitative Comparison questions
- Multiple-choice questions-Select One Answer Choice
- Multiple-choice questions-Select One or More Answer Choices
- Numeric Entry questions

Each question appears either independently as a discrete question or as part of a set of questions called a Data Interpretation set. All of the questions in a Data Interpretation set are based on the same data presented in tables, graphs, or other displays of data.

In the computer-delivered test, you are allowed to use a basic calculator-provided on-screen-on the Quantitative Reasoning measure. Information about using the calculator appears later in this chapter.

# Quantitative Comparison Questions

## Description

Questions of this type ask you to compare two quantities-Quantity A and Quantity B- and then determine which of the following statements describes the comparison.

- Quantity A is greater.
- Quantity B is greater.
- The two quantities are equal.
- The relationship cannot be determined from the information given.

## Sample Question

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:

- Quantity A is greater.
- Quantity B is greater.
- The two quantities are equal.
- 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.

**Quantity A Quantity B**

**The least prime number greater than 24 2) The greatest prime number less than 28.**

**Quantity A is greater****Quantity B is greater****The two quantities are equal****The relationship cannot be determined from the information given.**

Ans) For the integers greater than 24, note that 25, 26, 27 and 28 are not prime numbers, but 29 is a prime number, as are 31 and many other great integers. Thus, 29 is the least prime number greater than 24, and Quantity A is 29.

For the integers, less than 28, note that 27, 26, 25 and 24 are not prime numbers, but 23 is a prime number, as are 19 and several other lesser integers. Thus 23 is the greatest prime number less than 28, and Quantity B is 23.

# Multiple-Choice Questions –Select One Answer Choice

## Description

These questions are multiple-choice questions that ask you to select only one answer choice from a list of five choices.

## Sample Question

Select a single answer choice.

**Q 1) If 5x + 32 = 4 – 2x, what is the value of x?**

A) -4

B) -3

C) 4

D) 4

E) 12

Ans) Solving the equation for x, you get 7x = -28, and so x = -4.

**The correct answer is Choice A, -4**

# Multiple-Choice Questions –Select One or More Answer Choice

## Description

These questions are multiple-choice questions that ask you to select one or more answer choices. A question may or may not specify the number of choices to select. These questions are marked with square boxes beside the answer choices, not circles or ovals.

If the question does not specify how many answer choices to select, select all that apply.

- The correct answer may be just one of the choices or as many as all of the choices, depending on the question.
- No credit is given unless you select all of the correct choices and no others.

If the question specifies how many answer choices to select, select exactly that number of choices.

**Q 1) Which of the following integers are multiple of both 2 and 3?**

A) 8

B) 9

C) 12

D) 18

E) 21

F) 36

Ans) We can easily identify multiple of 2 and multiple of 3. Here, multiple of 2 are 8, 12, 18 and 36. Multiple of 3 are 9, 12, 18, 21 and 36. Therefore, 12, 18 and 36 are multiples of both 2 and 3.

Alternatively, if you realize that every number that is a multiple of 2 and 3 is also a multiple of 6. You can identify the choices that are multiple of 6.

The correct answer consists of Choices C (12), D (18) and F (36).

# Numeric Entry Questions

## Description

Questions of this type ask you either to enter your answer as an integer or decimal in a single answer box or to enter it as a fraction in two separate boxes- one for the numerator and one for the denominator. In the computer-delivered test, use the computer mouse and keyboard to enter your answer.

Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes-one for the numerator and one for the denominator.

To enter an integer or a decimal, either type the number in the answer box using the keyboard or use the Transfer Display button on the calculator.

- First, click on the answer box- a cursor will appear in the box- and then type the number.
- To erase a number, use the Backspace key.
- For a negative sign, type a hyphen. For a decimal point, type a period.
- To remove a negative sign, type the hyphen again and it will disappear; the number will remain.
- The transfer Display button on the calculator will transfer the calculator display to the answer box.
- Equivalent forms of the correct answer, such as 2.5 and 2.50, are all correct.
- Enter the exact answer unless the question asks you to round your answer.

To enter a fraction, type the numerator and the denominator in the respective boxes using the keyboard.

- For a negative sign, type a hyphen; to remove it, type the hyphen again. A decimal point cannot be used in a fraction.
- The Transfer Display button on the calculator cannot be used for a fraction.
- Fractions do not need to be reduced to lowest terms, though you may need to reduce your fraction to fit in the boxes.

**Q1) One pen costs $0.25 and one marker costs $0.35. At those prices, what is the total cost of 18 pens and 100 markers?**

Ans) Cost of one pen = $0.25

Cost of one marker = $0.35

Cost of 18 pens = 0.25 x 18 = $4.5

Cost of 100 markers = 0.35 x 100 = $35

Total cost of 18 pens and 100 markers = $39.5

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