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### Multiple-choice Questions — Select One Answer Choice

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

#### Sample Questions

##### Directions: Select a single answer choice.

1.

The figure above shows a circle with center C and radius 6. What is the sum of the areas of the two shaded regions?

**Answer: D**

2.

The figure above shows the graph of a function f, defined by for all numbers x. For which of the following functions gdefined for all numbers x does the graph of g intersect the graph of f ?

**Answer: E**

### Multiple-choice Questions — Select One or More Answer Choices

##### Directions: Select one or more answer choices according to the specific question directions.

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.

1. Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department Xand is $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees in the company?

Indicate __all__ such amounts.

- $26,000
- $28,000
- $29,000
- $30,000
- $31,000
- $32,000
- $34,000

**Answer: A**

** and B**

2.

If f, g, and h are positive integers, f is a factor of g, and g is a factor of h, which of the following statements must be true?

Indicate __all__ such statements.

- f is a factor of
- f is a factor of gh.
- f is a factor of

**Answer: A, B, and C**

### Numeric Entry Questions

##### Directions: Enter your answer in the answer box(es) below the question.

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.

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

1.

**Answer: 101**

2.

A university admitted 100 students who transferred from other institutions. Of these students, 34 transferred from two-year community colleges, 25 transferred from private four-year institutions, and the rest transferred from public four-year institutions. If two different students are to be selected at random from the 100 students, what is the probability that both students selected will be students who transferred from two-year community colleges?

Give your answer as a fraction.

**Answer: (or any equivalent fraction).**

### Quantitative Comparison Questions

##### Directions: 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.

1.

Quantity A | Quantity B |

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

**Answer: A**

RSTU is a parallelogram.

2.

Quantity Ax | Quantity By |

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

**Answer: D**

### Data Interpretation Sets

##### Directions: Questions 1–3 are based on the following data.

PERCENT CHANGE IN MONTHLY* VALUE OF INVENTORY

AT SIX BUSINESSES FROM APRIL TO JUNE

Business | Percent Change | Percent Change |
---|---|---|

G | +6 | +8 |

K | +5 | |

M | +2 | +12 |

R | +8 | |

V | +14 | 0 |

Z | +2 |

*Inventory values are determined at the end of each month.

1.

If the value of inventory at Business K was $30,000 for April, what was the value of inventory at Business K for June?

- $22,500
- $29,925
- $30,000
- $33,000
- $33,075

**Answer: B**

2.

At Business M, the value of inventory for May was what percent of the value of inventory for June?

Give your answer to the __nearest 0.1 percent.__

%

**Answer: 89.3**

3.

For which of the six businesses shown was the percent change in value of inventory from April to June greatest?

- G
- K
- M
- R
- V

**Answer: A**

##### Directions: Questions 4–6 are based on the following data.

4.

Approximately how many people are in the production and transportation sector of the workforce?

- 9 million
- 12 million
- 15 million
- 18 million
- 21 million

**Answer: E**

5.

Approximately what fraction of the workforce in the food service area of the service sector is male?

**Answer: C**

6.

In the workforce, the ratio of the number of males to the number of females is the same for the sales sector as it is for the protective service area of the service sector. Which of the following is closest to the number of females in the sales sector?

- 2.9 million
- 3.6 million
- 10.4 million
- 11.1 million
- 14.0 million

**Answer: A**