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Question 1.

A company makes a profit of 6 percent on its first $1,000 of sales each day, and 5 percent on all sales in excess of $1,000 for that day. How many dollars in profit will the company make on a day when sales are S dollars if S is greater than 1,000?

(A)

0.05S

(B)

0.06S

(C)

110

(D)

10 + 0.05S

(E)

60 + 0.05S

Question 2.

How many pounds of fertilizer that is 10 percent nitrogen must be added to 12 pounds of fertilizer that is 20 percent nitrogen so that the resulting mixture is 18 percent nitrogen?

(A)

3

(B)

6

(C)

12

(D)

24

(E)

48

Question 3.

Let g(x) =  4x . If g(a) = 32 , then a is

(A)

2

(B)

2.33

(C)

2.5

(D)

2.75

(E)

3

Question 4.

When an automobile is driven at 70 miles per hour, it uses 0.06 gallon of gas per mile. When the car is driven at 50 miles per hour, it uses 0.04 gallon of gas per mile.

Which of the following relations are possible between the gallons of gas used per mile and the speed at which the car is driven?

I. They are directly proportional

II. They are indirectly proportional

III. They are linearly related

 

(A)

only I

(B)

only II

(C)

only III

(D)

I and III

(E)

I, II, and III

Question 5.

If a + 2b = 6 and ab = 4 what is \( {2 \over a}\) + \({1 \over b}\)

(A)

\( {1\over 2}\)

(B)

1

(C)

\({3\over 2}\)

(D)

2

(E)

\({5\over 2}\)

Question 6.

Ms.Jones has twice as much invested in stocks as in bonds. Last year, the stock investments paid 7.5 percent of their value and the bonds paid 10 percent of their value. If the total that both investments paid last year was $1,000, how much did Ms.Jones have invested in stocks?

(A)

$3,636

(B)

$4,000

(C)

$7,500

(D)

$8,000

(E)

$10,000

Question 7.

Two-thirds of the roads from A and B are at least 5 miles long, and \({1\over 4}\) of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long?

(A)

\({1 \over 6}\)

(B)

\({1\over 4}\)

(C)

\({2\over 3}\)

(D)

\({3\over 4}\)

(E)

\({11\over 12}\)

Question 8.

There are 30 socks in a drawer. Sixty percent of the socks are red, and the rest are blue. what is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least 2 blue socks have been chosen?

(A)

2

(B)

3

(C)

14

(D)

19

(E)

20

Question 9.

A car traveled 75 percent of the way from town A to town B at an average speed of 50 miles per hour. The car travels at an average speed of S miles per hour for the remaining part of the trip. The average speed for the entire trip was 40 miles per hour. What is S?

(A)

10

(B)

20

(C)

25

(D)

30

(E)

37.5

Question 10.

Lavoisier, the 18th-century scientist, became more influential and famous than most of his contemporaries because not only did he discover and isolate many of the chemical elements but he also gave them names that both described the element in terms of its power and function and came to be accepted by other scientists in subsequent generations.

Which of the following can be inferred from the above passage?

(A)

Lavoisier strived for fame and influence in the 18th century

(B)

All elements found in the 18th century were named after Lavoisier

(C)

Some of the elements that Lavoisier isolated were given names that described their properties

(D)

Lavoisier was the most influential and famous scientist of his time

(E)

Lavoisier became famous only because the names that he gave the chemicals became accepted

Question 11.

The disaster that followed the earthquake in Armenia was tragic and serious, not just because of the fatalities and injuries, but because such widespead and severe damage was avoidable. The earthquake was less than 6 on the open-ended Richter scale, but its effects and aftermath matched the scene of events after much stronger quakes. What caused the casualty figures to reach such horrendous heights was that the buildings in the area were generally of a design that could not br expected to withstand anything more than a minor tremor.

Which of the following statements can best be inferred from the passage?

(A)

People were not killed and injured by the earthquake, but by the falling masonry.

(B)

Resourses should be invested in predicting the location, incidence, and strength of earthquakes

(C)

Emergency evacuation procedures should be introduced in areas where earthquakes tend to occur frequently

(D)

It would be better if earthquakes occurred only in areas far away from large centers of polulation

(E)

The rescue aid provided by international organizations and other countries after the earthquake will hopefully improve relations

Question 12.

In 1896, Henry Bequerel found that uranium salts emitted penetrating radiations similar to those which Roentgen produced only a year earlier with a gas discharge tube.

(A)

similar to those which Roentgen

(B)

like those which Roentgen

(C)

similar to those that Roentgen had

(D)

similar to them that Roentgen

(E)

similar to those Roentgen

Question 13.

Unless they reverse present policies immediately, the world may suffer permanent damage from the unregulated use of pesticides.

(A)

Unless they reverse present policies

(B)

Unless present policies are reserved

(C)

Unless present policies will be reserved

(D)

If it will not reserve present policies

(E)

If present policies will not be reserved

Question 14.

John wanted to have gone to the movies.

(A)

wanted to have gone

(B)

had wanted to ve have gone

(C)

wanted to go

(D)

wanted to have went

(E)

had wanted to have went

Question 15.

Either you transfer the data that was demanded or file a report explain why you did not submit the overall annual figures

(A)

Either you transfer the data which was demanded

(B)

you either transfer the data, which was demanded,

(C)

You either transfer the data that were demanded

(D)

Either you transfer the data, which was demanded

(E)

Either you transfer the data, which were demanded

Question 16.

On entering the stadium, cheers greeted them as a sign of universal approval of their great achievement.

(A)

On entering the stadium, cheers greeted them

(B)

On entering the stadium, they were greeted by cheers

(C)

While entering the stadium, cheers greeted them

(D)

On entering the stadium: cheers greeted them

Question 17.

The set of propositions  which was discussed by the panel have been published in the society journal.

(A)

which was discussed by the panel have

(B)

which were discussed by the panel have

(C)

that was discussed by the panel has

(D)

which were discussed by the panel has

(E)

which was discussed, by the panel, has

Question 18.

In Great Britain, the prolem of violence among spectators at soccer games has become more and more serious, with hardly a weekend passing without many arrested and many injured from among those who supposedly camr to see a sport.

Many suggestions have been made to combat this problem, most of them involving the introduction of more restrictions on the freedom of the crowds. Increased police presence at all games, enclosing supportters of opposing tearns in pens, preventing the two groups from coming into contact with ech other, and the use of membership cards with photographs which must be presented in order to gain access have all bee tired.

What is needed now is a deterrent factor. Increased fines, Saturday afternoon detention centers, and even jail terms must be introduced speedily and rigorously if we are going to solve this problem.

Which of the following, If true, would most strengthen the present view of the writer?

(A)

The Bristish Goverment has just passed legislation outlawing alcoholic drink to be sold at or brought into soccer matches

(B)

Last week there were 36 arrested and 50 injured in fighting among the top soccer matches. This was an increase of 25 % over the figures for the previous week

(C)

The soccer clubs should do more to encourage families to attend their games by improving facilities and making special enclosures

(D)

Violence is on the increase at soccer matches, and the authorities must get tougher

(E)

Closed-circuit television has been set up to monitor trouble-making elements in the crowd

Question 19.

From the letter to the commercial editor of a newspaper. Your article of January 9 drew attention to the large deficit in Playland's balance of payments that has worsened over the past three years. Yet, you favor the recent trade treaty signed between Playland and Workland. That treaty results in a lowering of our import duties that will flood us with Workland's goods. This will only exacerbate our balance of trade. How can you be in favor of the treaty?

which of the following considerations would weaken the letter writer's argument?

(A)

import diversion versus import creation

(B)

prices paid by importers versus prices paid by consumers

(C)

economic goals versus political goals

(D)

duties levied increase government revenue

(E)

free trade versus protectionism

Question 20.

In 1930, there were, on the average 10 deaths at birth (infant mortality) per 10,000 population. By 1940 there were 8.5 and by 1950, 7.0. Today there are 5.5 deaths at birth per 10,000 population, and it is anticipated that the downward trend will continue

Each of the following, if true, would help to account for this trend except

(A)

Medical care is more widespead and available

(B)

More effective birth control methods have been implemented

(C)

Sanitary conditions have improved

(D)

The number of pediatricians per 10,000 population has increased

(E)

Midwifery has declined in favor of medical doctors

Question 21.

Product shipments of household appliances are expected to rise to $17 billion next year, an average annual increase of 8.0 percent over the past five years. The real growth rate, after allowing for probable price increases, is expected to be about 4.3 percent each year, resulting in shipments this year of $14 billion in 1987 dollars.

Each of the following, if true, could help to account for this trend except

(A)

Consumer spending for durable products has increased

(B)

Household formations have increased

(C)

Consumer disposable income has increased

(D)

The consumer price of electricity has decreased

(E)

Individual tax advantages have decreased

Question 22.

In this particular job we have discovered that to be diligent is more important than being bright

(A)

to be diligent is more important than being bright

(B)

for one to be diligent is more important than being bright

(C)

diligence is more important than to be brightness

(D)

by being diligent is more important than being bright

Question 23.

No one but him could have told them that the thief was I.

(A)

him could have told them that the thief was I.

(B)

he could have told them that the thief was I.

(C)

he could have told them that the thief was me

(D)

him could have told them that the thief was me

(E)

he could have told them the thief was me

Question 24.

1. All members of group IV include all members of Group II.

2. All members of Group III include all members of Group I

3. All members of Group IV include all members of Group I.

4. All members of Group II include all members of Group I.

5. All members of Group III include all members of Group I2. All members of Group III in clude all members of Group IV.

Which of the following statements must be true in order to establish that Group III is the all-embracing group, that is, includes Groups I, II and IV?

(A)

Statement 1 is a vital piece of information

(B)

Statement 2 is a vital piece of information

(C)

Statement 3 is a vital piece of information

(D)

Statement 4 is a vital piece of information

(E)

None of the above statements is a vital piece of information

Question 25.

Before the middle of the 14th century, there were no universities north of Italy, except in France and England. By the end of the 15th century, there were 23 universities in this region, from Louvain and Mainz to Rostock, Cracow, and Bratislava, and the number of universities in Europe as a whole had more than doubled.

Given the above information, which of the following statements is correct?

(A)

Until the age of university expansion in the 15th century, there were perhaps 11 universities in the whole of Europe.

(B)

South of Italy there were 23 universities in the 14th century.

(C)

In the 13th century, France and England were the only countries in the Europe with universities.

(D)

After the great age of university expansion in the 14th and 15th centuries, France and England were not the only northern European countries to have such centers of learning.

(E)

Italy was the cradle of university expansion.

Question 26.

After a careful evaluation of the circumstances surrounding the incident, were decided that we neither have the authority nor the means to cope with the problem

(A)

neither have the authority nor

(B)

neither have authority nor

(C)

have neither the authority nor

(D)

have neither the authority or

(E)

have not either the authority nor

Question 27.

Everyone of us have understood that without him helping us we would not have succeeded in our program over the past six months.

(A)

Everyone of us have understood that without him helping us

(B)

Everyone of us has understood that without his helping us

(C)

Everyone of us have understood that without his help

(D)

Everyone of us has understood that without him helping us

(E)

Everyone single one of us have understood that without him helping us

Question 28.

On the African continent, the incidence of vitamin deficiencies correlates positively with the level of solar radiation

(A)

deficiencies correlates positively with

(B)

deficiencies correlate positively with

(C)

deficiencies, correlate positively with

(D)

deficiencies correlate positively to

(E)

deficiencies correlates positively in

Question 29.

A thoroughly frightened child was seen by her cowering in the corner of the room.

(A)

A thoroughly frightened child was seen by her cowering in the corner of the room.

(B)

Cowering in the corner of the room a thoroughly frightened child was seen by her.

(C)

She saw, cowering in the corner of the room, a thoroughly frightened child

(D)

A thoroughly frightened child, cowering in the corner of the room, was seen by her.

(E)

She saw a thoroughly frightened child who was cowering in the corner of the room.

Question 30.

If they would have taken greater care in the disposal of the nuclear waste, the disaster would not have occurred.

(A)

If they would have taken greater care

(B)

Unless they took greater care

(C)

Had they not taken greater care

(D)

If they had taken greater care

(E)

If they took greater care

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15    Question 16    Question 17    Question 18    Question 19    Question 20    Question 21    Question 22    Question 23    Question 24    Question 25    Question 26    Question 27    Question 28    Question 29    Question 30   
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