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Test de niveau Bocconi : Master

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Durée : 20 minutes.
Total : 10 questions.
Passez ce test seul(e), sans aide extérieure ni calculatrice, pour obtenir une évaluation fiable de votre niveau.

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Campus Bocconi · Milan

Test Bocconi Master

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1. Read the passage. Cities are often several degrees warmer than the surrounding countryside, a phenomenon known as the urban heat island. Dark roofs and asphalt absorb sunlight during the day and release it slowly at night, while the scarcity of trees limits the cooling effect of evaporation. Tall buildings also trap warm air between them and reduce wind speed. Contrary to a common belief, the heat produced by cars and air conditioners is only a secondary contributor in most cities. Some municipalities now require light-coloured roofs and plant trees along streets; early measurements suggest that such programmes can lower peak summer temperatures by one to two degrees, although the effect varies with the local climate.
According to the passage, which statement is correct?

Heat from vehicles and air conditioners is the main cause of urban heat islands.

Light-coloured roofs and street trees have been observed to reduce peak temperatures, with an effect that depends on the local climate.

Wind speed is higher in cities because tall buildings channel the air.

Urban heat islands only occur at night.

2. Read the passage. For an economist, the cost of a choice is not the money spent but the value of the best alternative given up. A student who spends a year in a master's programme pays tuition, but also forgoes the salary she could have earned; that forgone salary is part of the true cost of the degree. This reasoning explains why the same programme is more expensive for an experienced professional than for a recent graduate, even if the tuition is identical. It also implies that a free activity is never truly free: attending a free concert costs the evening that could have been used otherwise.
Which statement is consistent with the reasoning of the passage?

Two people who pay the same tuition bear the same cost for a degree.

An activity with no monetary price has no cost.

The cost of a choice includes the value of the best option that was not chosen.

Forgone salary should not be counted because it was never received.

3. The distribution of salaries in a company is strongly skewed to the right: most employees earn similar amounts and a few earn very high salaries. Which relation between the mean and the median is expected?

The mean is smaller than the median.

The mean is greater than the median.

The mean and the median are equal.

It cannot be said without knowing the variance.

4. In a school, 30% of the students speak Italian. Two students are selected independently at random. What is the probability that at least one of them speaks Italian?

0.30

0.51

0.60

0.09

Enrolments in an Economics degree (number of students)
Academic year	First year	Second year
2022/23	3,000	2,400
2023/24	3,200	2,560
2024/25	3,500	?

5. Use the table above. Assume that the share of first-year students who continue to the second year is the same every year and that nobody joins from another university. How many students will be enrolled in the second year in 2025/26?

2,560

2,700

2,800

3,000

6. A region produces three fruits. Apples represent 40% of its fruit production, pears 35%, and the rest is cherries. If the region produces 12,000 tons of cherries, what is its total fruit production?

30,000 tons

40,000 tons

48,000 tons

60,000 tons

7. Anna, Bruno and Carla each ordered a different drink: coffee, tea or juice. Consider the statements: (A) Anna did not order tea. (B) Bruno ordered coffee. (C) Carla ordered tea. Exactly two of the three statements are true. What did Anna order?

Coffee

Tea

Juice

It cannot be determined.

8. A random variable X takes the value 0 with probability 0.5 and the value 1 with probability 0.5. Which statement is true?

E[X] = 1, because 1 is the largest value X can take.

E[X] = 0.5 and Var(X) = 0.25.

P(X > 0.5) = 1.

Var(X) = 0, because X takes only two values.

Building permits issued in a province in 2023 (thousands)
Use	Existing buildings	New buildings
Residential	60	40
Non-residential	45	35

9. Use the table above. In 2024 the number of permits for new buildings doubles compared with 2023, while permits for existing buildings remain unchanged. Which statement is correct?

In 2024, permits for new buildings exceed permits for existing buildings.

In 2023, new buildings represented more than half of all permits.

In 2023, residential permits represented 60% of the permits for new buildings.

In 2024, the total number of permits is 360 thousand.

10. The tuition of a programme was 10,000 euros in 2021. It increased by 10% in 2022 and then by 20% in 2023. What was the tuition in 2023?

12,000 euros

13,000 euros

13,200 euros

13,300 euros

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