Math (DS)

Is a positive integer?

1. is a prime number
2. is divisible by 11

OA and Explanation

Verbal (SC)

Like in 2004, car sales to first-time buyers as often, if not more often than, to return customers buoyed the economy this January.

(A) Like in 2004, car sales to first-time buyers as often, if not more often than, to return customers buoyed
(B) Like in 2004, first-time buyers bought cars as often, if not more often than, return customers and that buoyed
(C) As in 2004, car sales to first-time buyers as often as, if not more often than, to return customers and it buoyed
(D) As in 2004, first-time buyers bought cars as often as, if not more often than, return customers, buoying
(E) As in 2004, car sales to first-time buyers as often, if not more often than, to return customers buoyed

OA and Explanation

Math (PS)

Carly has 3 movies that she can watch during the weekend: 1 Action movie, 1 Comedy, and 1 Drama. However, she needs to watch the Drama 3 times. Assuming Carly has time for 5 movies and intends to watch all of them, in how many ways can she do so?

(A) 6
(B) 20
(C) 24
(D) 60
(E) 120

OA and Explanation

Verbal (CR)

A recent study of college students shows that, contrary to predicted results, special nutritional planning does not positively affect students’ grades. Sixty students, half of whom were given a nutritionally balanced diet, had grades no higher than did those students who were not placed on the diet plan.

Which of the following, if true, is most useful in determining the accuracy of the study described above?

(A) Performance of business executives was shown to improve drastically after major alterations were made in their diets.
(B) Honors students, after altering their diets, maintained that they did not change their study habits.
(C) Students who participated in various fitness regimens found that their grades improved appreciably after they altered their exercise habits.
(D) High school students who previously had low grades found that after they altered their diets, their grades improved dramatically.
(E) All of the college students who volunteered for the study were either in their first or second year of college.

OA and Explanation

Math (DS)

Is divisible by 15?

1. When is divided by 10, the result is an integer
2. is a multiple of 30

OA and Explanation

Verbal (CR)

When a planetary system forms, the chances that a planet capable of supporting life will be formed are high. The chances that a large planet the size of Jupiter or Saturn will be formed, however, are low. Without Jupiter and Saturn, whose gravitational forces have prevented Earth from being frequently struck by large comets, intelligent life would never have arisen on Earth. Since planetary systems are unlikely to contain any large planets, the chances that intelligent life will emerge on a planet are, therefore, low.

Knowing which one of the following would be most useful in evaluating the argument?

(A) whether all planetary systems are formed from similar amounts of matter
(B) whether intelligent species would be likely to survive if a comet struck their planet
(C) whether large comets could be deflected by only one large planet rather than by two
(D) how high the chances are that planetary systems will contain many large comets
(E) how likely it is that planetary systems containing large planets will also contain planets the size of Earth

OA and Explanation

Math (PS)

Kate and David each have $10. Together they flip a coin 5 times. Every time the coin lands on heads, Kate gives David $1. Every time the coin lands on tails, David gives Kate $1. After the coin is flipped 5 times, what is the probability that Kate has more than $10 but less than $15.

(A)
(B)
(C)
(D)
(E)

OA and Explanation

Verbal (SC)

An international group of more than 2,000 scientists project an average global warming that will be between 1.8 and 6.3 degrees Fahrenheit by the year 2000.

(A) project an average global warming that will be between 1.8 and
(B) project an average global warming to be from 1.8 to
(C) project global warming that will average between 1.8 and
(D) projects global warming to average from 1.8 to
(E) projects an average global warming of between 1.8 and

OA and Explanation

Math (DS)

Is integer positive?

1.
2.

OA and Explanation

Verbal (SC)

People can debate the aesthetic merits of these overwrought, disquieting, sometimes gruesome works of art, but no one can dispute their creators’ mastery of the paintbrush as a blunt instrument.

(A) but no one can dispute their creators’ mastery of the paintbrush as a blunt instrument.
(B) but none can dispute their creators’ mastery of the paintbrush as a blunt instrument.
(C) but not a one can dispute their creators’ mastery of the paintbrush as a blunt instrument.
(D) but no person can dispute their creators’ mastery of the paintbrush as a blunt instrument.
(E) but none can dispute to their creators’ mastery of the paintbrush as a blunt instrument.

OA and Explanation

Math (DS)

If ( and are nonzero integers), is an integer?

1. is an integer
2. is an integer

OA and Explanation

Verbal (CR)

Advocates insist that health savings accounts are an efficient method to reduce medical expenses. However, widespread adoption of these accounts will soon undermine the public’s health. One reason for this is that most people will be reluctant to deplete their accounts to pay for regular preventive examinations, so that in many cases a serious illness will go undetected until it is far advanced. Another reason is that poor people, who will not be able to afford health savings accounts, will no longer receive vaccinations against infectious diseases.

The statements above, if true, most support which of the following?

(A) Wealthy individuals will not be affected negatively by health savings accounts.
(B) Private health insurance will no longer be available.
(C) Most diseases are detected during regular preventive examinations.
(D) Some people without health savings accounts are likely to contract infectious diseases.
(E) The causal relationship between an individual’s health and that person’s medical care has been adequately documented.

OA and Explanation

Math (PS)

The choir consists of 5 boys and 6 girls. In how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.

(A) 120
(B) 30
(C) 24
(D) 11
(E) 7

OA and Explanation

Verbal (CR)

A valid argument is often defined as one in which it is not possible for all the premises to be true and the conclusion false. A circular argument is sometimes defined as one in which one of the premises is identical to the conclusion. From these definitions we can infer that…

(A) Every circular argument is valid as long as its premises are true.
(B) Every valid argument is circular.
(C) No circular argument is valid.
(D) Some circular arguments are valid, and some are not.
(E) Some circular arguments are not valid, and some valid arguments are not circular.

OA and Explanation

Math (DS)

Distinct points A, B, C, D form a right triangle ABC with a height BD. What is the value of AB times BC?

1. AB = 6
2. The product of the non-hypotenuse sides is equal to 24

OA and Explanation

Verbal (SC)

Modern critics are amused by early scholars’ categorizing Tacitus’s Germania as an ethnographic treatise.

(A) scholars’ categorizing Tacitus’s Germania as
(B) scholars’ categorizing Tacitus’s Germania as if
(C) scholars, categorizing of Tacitus’s Germania as
(D) scholars who categorize Tacitus’s Germania as
(E) scholars who categorize Tacitus’s Germania if

OA and Explanation

Math (DS)

What is the value of integer ?

1.
2.

OA and Explanation

Verbal (SC)

Last week local shrimpers held a news conference to take some credit for the resurgence of the rare Kemp’s ridley turtle, saying that their compliance with laws requiring that turtle-excluder devices be on shrimp nets protect adult sea turtles.

(A) requiring that turtle-excluder devices be on shrimp nets protect
(B) requiring turtle-excluder devices on shrimp nets is protecting
(C) that require turtle-excluder devices on shrimp nets protect
(D) to require turtle-excluder devices on shrimp nets are protecting
(E) to require turtle-excluder devices on shrimp nets is protecting

OA and Explanation

Math (PS)

There are two bars of gold-silver alloy; one piece has 2 parts of gold to 3 parts of silver, and the other has 3 parts of gold to 7 parts of silver. If both bars are melted into a 8-kg bar with the final ratio of 5:11 (gold to silver), what was the weight of the first bar?

(A) 1 kg
(B) 3 kg
(C) 5 kg
(D) 6 kg
(E) 7 kg

OA and Explanation

Verbal (CR)

In a monogamous culture, 100% of the adults are married. The average number of children per family is five and over-population is a threat. Programs to encourage birth-control have been ineffective. It has been suggested that this failure is due to these programs ignoring a tradition that values male children very highly, so that every parent wants to have at least one son. It is proposed that couples be encouraged to use birth-control measures after the birth of their first son.

If this proposal is widely accepted in the culture, we may expect that:

(A) the rate of population increase will be slowed, and future generations will contain a disproportionately high number of females.
(B) the rate of population increase will be slowed, and the gender balance in future generations will remain as it is at present.
(C) the rate of population growth will remain the same, and future generations will contain a disproportionately high number of females.
(D) there will be no significant effect either on population growth or on gender balance.
(E) the population will decline precipitously, because approximately half of all families will have only a single child.

OA and Explanation