Test de niveau Bocconi en ligne

Test de niveau en ligne

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L’examen se présente sous la forme d’un QCM (Questions à Choix Multiples)

TEST DE NIVEAU BOCCONI EN LIGNE

Questions

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Ville de rattachement

Question 1: In answering the next question, consider the passage that follows. "In the period 2001-2004, a survey of the State's assets was conducted at a market value of 1,815 billion euros. Of these, as much as 700 billion form the so-called interest-bearing assets, consisting of four classes of assets: receivables and advances, shareholdings, real estate, infrastructure and concessions; the latter are enhanced by discounting the income streams from infrastructure, natural resources and frequency spectrum. The most significant item is undoubtedly that relating to real estate assets, estimated at around 420 billion euros, as much as 60 percent of the entire interest-bearing assets." Knowing that between 2004 and 2005 interest-bearing assets grew by 5% and that non-interest-bearing assets grew by 10%, how much is state assets worth at the end of 2005 (in billions of euros, rounded up)?

Question 2: At school a student has taken 8 tests in class the average grade is 5.75, the lowest grade is 4 and the highest is 6 (grades are only natural numbers). The student therefore:

(A) Took four times 4 and four times 6 (B) Took twice 4 (C) Took 4 once and 5 twice (D) Never took 5 (E) Unable to respond due to insufficient data

Question 3: 3. From a statistic carried out in a school of 300 pupils, the result is that 30% practice swimming, 60% football and 20% do nothing. How many practice both football and swimming?

Question 4: How many real solutions does the following inequality have? x²+ 4x < 0

Question 5: : In answering the next question, consider the passage that follows. "As we have seen, take or pay contracts are indexed to the price of oil and its derivatives, these have the function of underlying; this means that it does not reflect the correct trend of supply and demand in the real gas market, but is instead influenced by the volatility and contingencies of oil dynamics. An efficient market with a good level of flexibility and therefore liquidity would allow all these limits to be overcome; the cash would then be traded on a spot market at the relevant hub." What does an efficient market guarantee according to the text?.

Question 6: A and B challenge each other to solve problems over 10 weeks, starting on a Monday. B knows that A tries to solve all and only problems from Monday to Thursday of each week (but he doesn't know if he succeeds or not). B is sure to be able to solve all problems, except those of Sunday. Assuming B is right and taking into account that she intends to start work as late as possible, what day of the week is it that she must start to be sure of her victory?

Question 7: If it takes Adele 2 hours to travel the road from home to the sea, how long does it take her brother knowing that he drives 40% slower?

Question 8: In what range is the sine 17π /36 included?

Question 9: 9. 20 people meet at a meeting. 10 are German, 10 are French, and 3 people know how to ski. Which of the following statements is necessarily true?

(A) At least one French person can ski (B) At least one German can ski (C) No German can ski (D) No French can ski (E) None of the above is necessarily true

Question 10: What is the domain of the function f(x) = 10^{x+1 ∕ (x–5)}?

Question 11: For how many pairs of integers (therefore also negative), is the product equal to the sum?

Question 12: In answering the next question, consider the passage that follows. "The sample analyzed consists of 427 companies belonging to all economic sectors, classified according to the definition of small and medium-sized enterprises provided by the European Union in 2005. The high percentage of small companies (75%) is noted, compared to 20% represented by medium-sized ones. However, it is believed that the sample is statistically significant and suitable for the analyses carried out, and that the presence of such a large number of small companies does not represent a problem, since it is likely that they are those with a greater interest in the issue of risk management and a greater possibility of growth in this sense. On the other hand, medium-sized companies are assumed to be at a more advanced stage in the evolution of these systems." Knowing that 75% of the sample is made up of small companies and that 20% is made up of medium-sized companies, what does the remaining 5% consist of?

Question 13: Knowing that the arc of a circular sector measures 8π and that its area is equal to 4/9 of the entire circle, how much does the area of the circle measure?

Question 14: 14. How many points of intersection have the line y = -2x + 6 and the circumference 2x²+ 2y² – 6x – 7y = 0?

Question 15: "Go to the restaurant if and only if you are hungry" Then it can be deduced that:

(A) Adriana goes to the restaurant but is not hungry (B) Barbara goes to the restaurant because she is hungry (C) Those who are not hungry do not go to restaurants (D) A and B are correct (E) B and C are correct

Question 16: In answering the next question, consider the passage that follows. "An important aspect is that concerning stock options: while in the Anglo-Saxon world they are still the largest source of profit for top managers of companies, in Italy the impact due to the use of stock option plans is decidedly limited. In fact, in the two-year period 2012-2013, only 43 companies (shares 20.98% of the issuers analyzed here) issued option plans for their top managers. Considering, on the other hand, the directors who have used this tool to obtain extra compensation, consider that only 15 (7.32% of the sample) managing directors have actually exercised at least part of the options in their possession, for an average of 1,014,364 options." The tone taken by the author towards the use of stock options in Italy tends to:

Question 17: A bus departs from the Topolinia bus station every 10 minutes. The first bus leaves at 7:35 AM and the station closes at 6 PM. How many buses leave from the station?

Question 18: Given f(x) the logarithm in root base of 3 of x, how much is [f (9)/4]²?

Question 19: The liquid contained in a sphere of radius R is transferred into cylinders with a base diameter equal to R and height R How many cylinders are needed at least to complete this operation?

Question 20: In a game, you roll a 6-sided die and a 12-sided die. What is the probability of getting 3 as a subtraction of the two outcomes (calculated as the difference between the higher and lower outcomes)?

Question 21: In a large office there are 76 employees, each of whom knows at least one subject between finance and administration; In addition, 20% of those who know administration also know finance, and 70% of those who know finance also know administration. How many office employees know one and only one subject?

Question 22: In answering the next question, consider the passage that follows. "The greater availability of internet banking solutions has led to a greater frequency of use of this channel: since 2010 the number of accounts enabled for internet banking has increased from 17,357 thousand (53% of the total number of bank accounts) to 29,007 thousand in 2017 (72%) and the percentage of customers using mobile banking has grown from about a quarter (27%) in 2008 to just under half (43%) in 2012 and then increased back to over two-thirds (62%) in 2016." What has determined the greater success of internet banking compared to mobile banking, according to the text?

(A) The type of customers who use the service (B) The increased availability of internet banking solutions (C) The absence of nearby branches (D) Less Cell-Based Solutions (E) It is not possible to deduce it

Question 23: Ada and Carlo play chess and are players of the same level so each of them wins with a 50% probability. Tomorrow they will meet for an afternoon and play 5 games. What is the probability that Carlo will win a single game?

Question 24: Knowing that a³ = a and that b²= b, with a and b natural numbers (integers and positives), then:

Question 25: A famous investigator is looking for the culprit of a murder among five suspects: Anna, Bruno, Cecilia, Dario and Enrico. He knows that the guilty always lies and the others always tell the truth. Anna says: "The culprit is a male!". Cecilia says: "It was Anna or it was Enrico". Finally Enrico says: "If Bruno is guilty then Anna is innocent". Who committed the murder?

Notre groupe

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