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1. If n is an integer, is n – 1 even?

(1) n – 2 is odd
(2) n + 1 is even

Decide whether the information in statements (1) and (2) (taken singularly or together) is sufficient to answer the question.

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

(D) EACH statement ALONE is sufficient.

(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

2. If c = 4x + 5 and r = 21 – 2x, then for what value of x is c = r?

A. 3⁄8

B. 8⁄3

C. 13⁄3

D. 8

E. 13

3. Apartments are labeled 2 through 56 consecutively on the first floor of a building. What is the probability that a tenant living there will have an apartment with a tens digit of 3?

A. 9⁄55

B. 2⁄11

C. 5⁄27

D. 10

E. 55

4. Sally writes her brother a check for $55, which represents her repayment of 20% of an earlier loan. If this is Sally’s first payment on the loan, and if her brother charges her no interest, how much does she still owe him?

A. $11

B. $44

C. $220

D. $275

E. $1100

5. 4.7☆◎3

If ☆ and ◎ each represent single digits in the decimal above, what digit does ☆ represent?

(1) When the decimal is rounded to the nearest tenth, 4.8 is the result.

(2) When the decimal is rounded to the nearest hundredth, 4.77 is the result.

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

(D) EACH statement ALONE is sufficient.

(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

6. For members of various bygone Inuit cultures in the far northern hemisphere, sled dogs were a vital element of daily life, to provide feasible transportation across the vast arctic landscape.

A. to provide

B. a means to provide

C. as a means providing

D. providing

E. as a provision of

7. Not all stars emit energy as visible light. Some stars emit energy at high frequencies outside the realm of visible light, such as gamma rays. Other stars, particularly in the Milky Way galaxy, will emit energy in the form of invisible X-rays.

If the statements above are true, which of the following conclusions is best supported?

A. A thorough analysis of visible light emissions is insufficient to monitor star energy emissions.

B. Gamma rays are also a common type of energy emission in the Milky Way galaxy.

C. X-rays emissions found outside the Milky Way galaxy are always paired with visible light emissions from the same star.

D. Dying stars are more likely to emit gamma rays.

E. Telescopes capable of observing gamma rays are incapable of observing visible light frequencies.

8. Both Manny Industries and Scotch Industries manufacture the same type of metal gaskets. Raw material supplies represent 12 percent of the cost to manufacture gaskets at each company. Manny Industries should lower its raw material supplies costs to gain a competitive advantage over Scotch Industries.

Which of the following, if true, casts the most doubt on the argument stated above?

A. The cost of raw materials has steadily climbed over the past decade, mostly due to increased freight costs.

B. Unionization makes it difficult for metal gasket manufacturers to lower wages or fire existing employees.

C. In order to lower its raw materials costs, Manny Industries would need to sacrifice the quality of their finished product.

D. Scotch Industries has outperformed Manny Industries by a small margin for the last three quarters.

E. The main raw materials supplier for Manny Industries also caters to Scotch Industries.

9. Very often one hears a person who has become famous or successful in their field or endeavor say that they “knew it all along.” Although there may be a bit of rosy hindsight in such a claim, the fact remains that self-confidence is an indispensable component of success.

The author of the following passage would most likely agree with which of the statements below?

A. It is not possible to become successful in one’s field of endeavor unless one has a certain amount of self-confidence.

B. Self-confidence is an innate trait, and cannot be influenced by such factors as environment and circumstance.

C. What famous and successful people claim, and what is actually the case, are very often two different things.

D. Although there may be successful people who are self-confident, there are many more self-confident people who are not successful.

E. Once a person is famous, self-confidence becomes less important than quotidian considerations such as careful planning and foresight.

10. The Christmas holiday brought a brief respite to opposing armies during World War I in that an unofficial ceasefire spread along the Western Front on Christmas Eve, 1914.

A. armies during World War I in that an unofficial ceasefire spread along the Western Front on Christmas Eve, 1914

B. armies during World War I, spreading an unofficial ceasefire along the Western Front on Christmas Eve, 1914

C. armies during World War I when they spread an unofficial ceasefire along the Western Front on Christmas Eve, 1914

D. armies during World War I, for an unofficial ceasefire spread along the Western Front on Christmas Eve, 1914

E. armies during World War I by the spread of an unofficial ceasefire along the Western Front on Christmas Eve, 1914