Test de niveau bachelor - La prepa Bocconi d'excellence

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Ville de rattachement

1. I ride a certain distance on my bicycle in 18 minutes. If I increase my average speed by 20%, how much time will it take me to cover the same distance ?

12 minutes

13 minutes

14 minutes

15 minutes

16 minutes

2. Which of the following numbers does not fall between 2/3 and 3/4 ?

5/7

7/10

8/11

9/13

11/14

3. Read the passage below and use the information to answer the next question : 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. By intervening at the end of the economic life of the plants and machinery, it would be possible to :

benefit the environment, although with a great economic loss

save much time and money

benefit the environment without great economic loss

recycle

none of the above statements is correct

4. The straight line that passes through points (1,2) and (3,3) does not pass through point :

(–3,0)

(7,5)

(10,7)

(9,6)

(–1,1)

5. Read the passage below and use the information to answer the next question Among actual advantages that companies and organizations may gain thanks to electronic commerce (EC) are : 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; 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. 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

6. Mixing 2 litres of a 4% solution and 4 litres of a 10% solution produces a solution of what percentage ?

14%

4.8%

7. The width of the interior angle of a regular 15-sided polygon is :

120°

156°

108°

150°

180°

8. The following figure shows the graph of function ƒ(x). For which values of k does the equation ƒ(x) = k result in three solutions ?

k = –5, k = 5

k 5

–30 < k < 30

k = –30, k = 30

k 30

9. The sum of two real numbers is 10. The sum of their squares is :

100

the data is insufficient

10. The chart below shows the distribution of the values of the variable “amount spent in the clothing department (in hundreds of Euro) during the last visit” found for a sample of 350 customers of a shopping center

What percentage of customers spent between €200 and €500 in the clothing department of this shopping center?

55.2%

34.5%

40%

50%

32%

11. How much is the ratio Q/C between the area of the square Q and the area of the circle C ?

2 / π

√2 / π

√2 / 2π

√3 / 2π

2 / 3

12. How many points of intersections are there between the parabola y = x² + 8x and the line y = 2x – 10 ?

A) 0

B) 1

C) 2 distinct points

D) 2 coincident points

E) Infinite

13. A, B and C define three sets in set-universe U, and A^c, B^c, C^c are their complementary sets. The set of elements that belong to A or B but not to C is :

(A∩B)∪C^c

(A∪B)∩C^c

C^c

(A∪B)∩C

(A∩B)∪C

14. How many anagrams are there (including those without meaning) of the word CONTEXT ?

5,040

2,520

1,260

720

15. In decreasing order, which types of websites are visited online by Adults ?

Cars/Motorbikes, Glasses and Clothing

Jewellery, Shoes and Clothing

Cars/Motorbikes, Glasses and Tourism

Cars/Motorbikes, Tourism and Glasses

It is impossible to establish based on the information provided only

16. Read the passage below and use the information to answer the next question : Over recent decades Tuscany has undergone vast changes that have profoundly altered the territory and its image. The pressure of technological society has brought indubitable advantages in terms of standards of living but this does not always correspond to improvements in the quality of life. We now find ourselves facing a territory furrowed by roads and motorways, disfigured by hydrogeological disaster, despoiled of many of its most beautiful forests, impoverished of the life blood of its rivers, frequently transformed into cold channels of cement, and increasingly less enhanced by the many sounds and colours of multiform natural biodiversity. And if the rural environment suffers, the situation is certainly no better in our cities, assailed by pollution, noise, waste and the lack of green spaces. In the face of such a picture, there is an increasingly imperative need for a voice calling for change, for a force that will exert itself to improve the situation. The tone of the passage could be defined as :

conciliatory

ironic

denunciatory

sarcastic

none of the above statements is true