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Note: Select one answer from the options

Q1.A bag contains 12 blue balls and 4 red balls. How many red balls must be added so that the chance of drawing a red
ball is 2/3?

4 6 12 18 20

Note: Select one answer from the options

Q2.In the Museum of Man in Paris, at the entrance is continuously shown a 12 minutes documentary all day long, with a
3 minutes interval between one show and the other. The showing begins at 9.15 a.m. and stops at 6.00 p.m. Every
morning, at the beginning of the showing, the documentary starts from the beginning. How many times is it shown in a
day?

36 35 40 25 20

Note: Select one answer from the options

Q3.How many solutions can the following system have? $Équation$

No solution One solution Two solutions Four solutions Infinite

Note: Select one answer from the options

Q4.In a test, each right answer is given 3 scores, each wrong answer 1 score is took off and each unanswered question is
not given any score. There are 5 questions and the maximum score is 15. Which are the scores higher than 9 you can
get?

11, 12 and 15 10, 12, 13 and 15 All numbers between 10 and 1512 and 15 12, 13, 14 and 15

Q5.Which is the max value of the function: $Équation$ ?

0 2 4 6 8

Read the passage below and use the information to answer the following five questions

Among actual advantages that companies and organizations may gain thanks to electronic commerce (EC) is: a global
presence, as an inborn characteristic of the Internet; better quality for the service thanks to a prompt contact with the
customers and the possibility to answer to their questions very quickly; custom-made goods offered at a limited price,
because in some sectors direct contact makes it possible to produce customized goods at the same cost of “mass”
production; cutting on the supply chain, lowering the end price and even gaining greater negotiation power against the
distribution; cost saving thanks to the automation of the operations and processes; new product-market opportunities as
new kinds of service may be needed or some goods may be offered in markets which were previously difficult to reach.
The usage of EC is growing at an impressive rate, which is mainly related to the widespread of the Internet. Research by
various sources shows that the number of “Internet surfers” was about 100 million people at the beginning of 2005, and
should get to 250 million in 2007. The gap between the spread of the Internet in the USA and in Europe is quickly
reducing, and indeed new websites are now being created in Europe three times as fast as in the USA.

Q6.From what can be inferred from the passage, global presence is:

a consequence of the increased turnover of a company assured by the use of the Internet a typical feature of mid-sized companies it is not dealt with in the passage a company which never closes

Q7.How is the growth rate of electronic commerce defined as in the passage?

Average Slow Insignificant Considerable It is not dealt with in the passage

Q8.In some sectors, direct contact with the customer:

causes the redundancy of work-force causes a reduction of the company’s profit margin makes it possible to automate commercial transactions makes it possible to manufacture custom-made goods at low cost is a source of stress for employees

Q9.Electronic commerce:

creates new market opportunities for products limits the market opportunities for products does not influence the market opportunities for products is an old means of exchange none of the above is correct

Q10.From what can be inferred from the passage, what will the increase of Internet users bring to in the near future?

Smaller negotiating power from companies against the distribution The full automation of commercial transactions An increase in electronic commerce An impressive growth rate of sea commerce The development of new technologies

Q11.For which values of a and b does the system with variables x and y $Équation$ have the solution x = −1, y = 2?

For no values of a and b a = 5 and b = 1 a = 3 and b = 6 a = 3 and b = 5 For every

To answer the next five questions, refer to the graphs and tables shown in the images above.

Q12.Italian marques outdid French marques for how many car types sold in Italy in 2009?

2 3 4 5 It is not possible to answer on the basis of the data provided

Q13.In reference to car sales in 2009, which are the busiest buying months?

January for the Italian market and February for the EU market January for both the Italian market and the EU market February for the EU market and June for the Italian market February for both the Italian market and the EU market It is not possible to answer on the basis of the data provided

Q14.The biggest percentage of car purchases in 2009, in both Italy and the EU, was made in the:

1st quarter 2nd quarter 3rd quarter 4th quarter it is not possible to answer on the basis of the data provided

Q15.In reference to car adverts in monthly magazines, we can say that:

the “Utility” vehicle is the most advertised car type in men’s magazines the “4x4” is the most advertised car type in women’s magazines the “Utility” vehicle is the most advertised car type in both men’s magazines and women’s magazines the “SUV” is the most advertised car type in magazines for young people it is not possible to answer on the basis of the data provided

Q16.In reference to car production in the EU in 2009, we can say that:

Italy primarily produces “Utility” vehicles the SUV is the least produced type of car in France the “Coupé” is the least produced type of car in Germany Sweden primarily produces “Family” vehicles it is not possible to answer on the basis of the data provided

Q17.For which values of k does the equation $Équation$ have only one real solution $Équation$ ?

$Équation$ $Équation$ $Équation$ For every value of k For no value of k

Q18.A safebox opens through a combination of 2 letters followed by 1 number (eg. PF5). How many different combinations are possible? Repeated letters are not allowed. Consider 26 letters (A-Z) and

6,500 6,760 5,100 6,100 6,250

Q19.For which angle $Équation$ , it results $Équation$ ?

40° 60° 50° 70° 80°

Q20.10 old school friends meet in a pizzeria. Males are more than females and graduates are more than non-graduates. Thus:

there is at least one graduate male there is at least one graduate female there is at least one non-graduate female there is at least one non-graduate male graduate males are more than graduate females

Q21. If point (1,0) is the vertex of a parabola with equation $Équation$ which passes through point (0,1), then the parabola passes also through point:

(2,2) (2,3) (3,2) (3,3) (3,4)

Q22.Michele and Fabrizio play chess and are same-level players, so each one wins with a 50% chance. Tomorrow, they will meet in the afternoon and play 5 games. What is the chance that Fabrizio wins one single game

5/32 1/32 5/16 1/4 5/8

Q23.The real number $Équation$ is included between:

0 and 1 1 and 2 3 and 4 2 and 3 4 and 5

Q24."In a hotel are lodged 350 people: 50 are French, 100 are males and 100 stay in a single room”. On the basis of this information, of how many people you can affirmed that they are at the same time French, male and stay in a single room?

Twenty None Ten Fifty Thirty

Q25.A given population decreases by 20% every year. What is the approximate percentage left after 5 years?

0% 10% 20% 30% 50%

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