BOCCONI UNIVERSITY
Practice test
3.17
Page 2
INSTRUCTIONS
The test is made up of multiple choice questions of various kinds; for each question there are five possible answers, of
which you must choose one only which you consider to be correct. This booklet contains the questions. You must mark
your answers on the answer sheet, which is at the end of this booklet. Mark your answers by blacking out (
) the
corresponding box on the answer sheet. Warning: you must not mark the answers on this booklet, but on the answer sheet
provided. On the answer sheet, you must only black out (
) the boxes corresponding to your chosen answers; do not
make any other marks on the sheet. To make sure that you compile the answer sheet correctly, carefully read the
instructions on the sheet itself. At the end of the test, check your answers with the “Scoring key” provided in the last page
of this booklet.
Now start the test.
1. Consider the graph below:
The above graph shows a parabola the equation of which is:
1. y = 2x2 + 4x
2. y = –2x2 + 4x
3. y = –2x2 – 4x
4. y = 2x2 – 4x
5. y = 2x2 – 4
2. In a board game there are two dice, one normal, with 6 faces with the numbers 1 to 6, and the other one doublepyramid shaped with 8 faces with the numbers from 1 to 8. What is the probability of obtaining 7 rolling the two dice?
1. 1/8
2. 5/48
3. 7/48
4. 1/6
5. 3/48
3. How many real solutions are there to the inequality x2 + x < 0?
1. 0
2. 1
3. 2
4. Infinite
5. It depends on x
4. There was a robbery at a store after 8 PM and there are three suspects, A, B and C. A said, "I wasn’t involved in the
theft". B said, "C was involved". C stated, "Two did it". The police have reason to believe that all three are lying and
they have established that the theft was committed by one of three employees, A, B or C. A passer-by saw A coming
out of the store; therefore:
1. B was involved in the theft
2. A and C are both guilty or both innocent
3. all three are guilty
4. B was not involved in the theft
5. the culprit is only A
5. "All squares are rhombuses". The negation of "All squares are rhombuses" is:
1. no square is a rhombus
2. there is no denying that the statement is true
3. it exists a square that is not a rhombus
4. all squares are not rhombus
5. it exists a rhombus that is not a square
6. In a group of students, 12 speak Italian, 9 speak English and 9 speak Spanish. 5 speak Italian and Spanish, 4 speak
English and Spanish and 3 speak English and Italian. How many of the group only speak Spanish?
1. 6
2. The data is insufficient
3. 5
4. 7
5. None
Page 3
Read the passage below and use the information to answer the following five questions
According to the IPCC, a panel for studying and fighting against pollution, from now to 2100 the world commercial
energy system will be replaced at least twice. This will be an advantage for far-seeing countries which will replace their
system for producing, carrying and using energy without untimely replacing the invested capitals, too. Such manoeuvre
would allow to intervene at the end of the economic life of plants and machinery, thus highly or totally reducing the
economic costs for a community who wish and need to limit climate-changing gas emissions. In particular the technical
potential to increase energy efficiency is considerable; in the next two or three decades, saving between 10 and 30%
could be done at a negative cost - i.e. with an economical benefit of the investors all around the world (including areas
where Italian companies do operate) – simply by intervening on energy conservation and handling the demand.
7. Why can the renewal of the world commercial energy system be an advantage for the environment?
1. Because it will allow for the reduction of the number of plants and polluting operations
2. Because it will cut the investment of capitals from plants and polluting operations
3. Because it will allow to establish the new plants in already-degraded locations
4. Because it will allow to build new plants and develop less and less polluting operations
5. None of the above statements is correct
8. By intervening at the end of the economic life of the plants and machinery, it would be possible to:
1. benefit the environment, although with a great economic loss
2. save much time and money
3. benefit the environment without great economic loss
4. recycle
5. none of the above statements is correct
9. The technical potential for improving efficiency is currently:
1. poor
2. significant
3. extraordinary
4. absent
5. none of the above statements is correct
10. By “negative cost” they mean:
1. an unprofitable investment
2. a benefit for the investor
3. the cost which environment will suffer because of a certain activity
4. the cost which the community will suffer because of a certain activity
5. the deficit of a country
11. As you can infer from the article, the term " climate-changing gases" are defined as gases that:
1. with their combustion do not alter the environment
2. are naturally occurring
3. are artificial
4. with their combustion enhance the environment
5. are environmentally harmful
12. Here below you can see the graph of the function f(x) over a certain interval. How many real solutions admits the
equation f(x) = 30 in such an interval?
1.
2.
3.
4.
5.
0
1
2
3
Cannot be known
Page 4
The Italian cellular phone market (in thousands)
Information searched for by WAP cellular phones (connections)
WAP cellular phones in the world (in millions)
The Italian market of purchases made on the web (percentages)*
* 2007 data
Page 5
In order to answer the next four questions, refer also to the graphs and tables
presented on the previous page
13. In the Italian market, which company had the largest decline in sales of cellular phones between 2007 and 2008?
1. P.P.
2. Ns
3. Marlon
4. NIC
5. Laros
14. As regards as sports information searched for on WAP mobile phones, what percentage of sports information is
searched for in the evening?
1. 33.75%
2. 10.25%
3. 7.5%
4. 40.78%
5. 15.40%
15. How many mobile phones were sold in Italy in 2007 and what were the main Internet purchases?
1. More than one million; services
2. Fewer than one million; products
3. Fewer than 500,000; services
4. More than 1.5 million; products
5. More than 500,000; services
16. In descending order, which information is the most sought after on WAP mobile phones in the morning?
1. Tourist, sports, financial
2. Horoscope, weather, games
3. Financial, horoscope, sports
4. Weather, tourist, horoscope
5. Weather, horoscope, sports
17. In a college class of 90 students, two are to be selected as class representatives. The choice is completely random.
What is the probability that the last two in the alphabetical list of students will being chosen as class representative?
1. 2/90
2. 2/902
3. 1/(90×89)
4. 1/90
5. 2/(90×89)
18. If 0 < x < 1 and –1 < y < 0 then certainly:
1. x + y > 0
2. 0 < xy < 1
3.
4.
5.
1
𝑥
1
𝑥
–
1
𝑦
1
>1
+ >0
𝑦
x–y>1
19. The following table shows the data on employees of a company:
Sales
Administration
Research and
Development
Female
35
15
10
Male
30
20
10
Picked at random up a female employee in this firm, what is the probability that she does not work in administration?
1. 1/3
2. 7/8
3. 1/8
4. 1/4
5. 3/4
Page 6
20. A triangle has sides of length a, b, c. If a2 + b2 < c2, then the triangle is:
1. isosceles
2. equilateral
3. right-angled
4. acute-angled
5. obtuse-angled
21. A, B and C define three sets in set-universe U, and AC, BC, CC are their complementary sets. The set of elements
that belong to A or B but not to C is:
1. (A∩B)∪CC
2. (A∪B)∩CC
3. CC
4. (A∪B)∩C
5. (A∩B)∪C
22. A student in one year has completed 8 math’s tests. The grade point average is 7.75, the lowest grade is 6 and the
highest is 8 (grades are only integers). Then the student received:
1. four 6’s and four 8’s
2. one 6 and two 7’s
3. two 6’s
4. the data is insufficient
5. never a 7
23. 260 quintals of salt are stored in a warehouse belonging to AQ s.r.l., a sea salt distribution firm. However, due to
evaporation, there has been a 325 kg reduction over 5 days. What is the percentage of the reduction?
1. 8.5%
2. 11%
3. 4.3%
4. 1.25%
5. 3%
24. In a farm there are 120 animals between rabbits and chickens and in all there are 320 legs. How many chickens are
there?
1. 70
2. 50
3. 60
4. 40
5. 80
25. Which of the following numbers is between 3/5 and 5/8?
1. 2/3
2. 4/7
3. 5/9
4. 7/11
5. 8/13
BOCCONI UNIVERSITY
ANSWER SHEET
INSTRUCTIONS
Do not fill in the box corresponding to your answer until you are sure of it. Fill in the box fully and correctly as
shown below. Do not use other marks.
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yes
no
no
no
no
If you want to change your answer, fill in fully the box corresponding to your new choice on the bottom line as
shown below:
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This is the correct answer
In this way any answer on the top line is considered as cancelled.
To cancel your choice, fill in fully any other box on the top or on the bottom line as shown below:
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QUESTION
CORRECT ANSWER
AREA
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Mathematics
Logical Reasoning
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Text Comprehension
Text Comprehension
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Numerical Reasoning
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Mathematics
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