Entrance exam

Sample question 1

Helen, Isla, Jonathan, and Caleb are planning a holiday together. Since this will be everyone’s first holiday without their parents, they have decided to choose a one-week package trip that includes both flights and hotel accommodation.

Helen is a student and can take a week off at any time except during the first week of September when the semester begins. Helen’s parents are happy to support her financially. Helen cannot swim and is concerned about her safety.

Isla works in a small flower shop, and her employer takes their own holiday in July, during which Isla is responsible for the shop. Otherwise, Isla can take a week off whenever it suits her. Isla wants to enjoy warm weather on her holiday. She has already visited Thailand and several Mediterranean destinations.

Jonathan studies diligently and works during the summer. He can only have his holiday during the last two weeks of August and the first week of September. Jonathan wants to avoid intercontinental flights because he is concerned about his carbon footprint.

Caleb is unemployed. He can go on a week-long holiday at any time, but his travel budget limit is €1000. Caleb does not want to go to a big city. Large crowds make him anxious. His tetanus vaccination is not up to date.

According to travel advisories from the Finnish Ministry for Foreign Affairs, hurricanes and tropical storms are possible in the Bahamas during the summer and autumn. Extra caution is advised when traveling to Cairo and Alexandria in Egypt due to the security situation. A terrorist attack occurred in Nairobi, Kenya, on January 15, 2019. There is a possibility of terrorist attacks in France, and French authorities maintain heightened security measures. In Tunisia, the state of emergency law has been extended until September 1, 2019.

The following package trips still have availability (Table 1). At the travel fair, the friends received massage gift cards for a spa in Nice. The hotel on the Rome trip offers welcome glasses of champagne.

Table 1.

Which travel option is the most suitable for the group? Choose the correct option.

Sample question 2

Five school mates (Ben, Kevin, Frans, Maya, Alina) competed who was the quickest to build a card house. They all started the competition at the same time.

Ben was ready before Alina but later than Maya. Kevin was ready before Frans but only after Alina.

Select the correct order of school mates, from the quickest to the slowest.

Sample question 3

Elias woke up in the middle of the night and, due to a power cut, it was very dark in his apartment. Elias’ pencils were in one large box and he remembered that there were 11 blue pencils, 14 black pencils and 8 grey pencils in the box.

As Elias didn’t see the colour of the pencils, he picked as many pencils from the box so that he would have at least two black pencils.

What was the minimum amount of pencils Elias needed to pick to ensure he would get at least two black pencils?

Sample question 4

Eric had visited a physiotherapist at a hotel during his previous stay. He was very pleased with the service he received and would now like to book an appointment for the same physiotherapist for his next visit at the same hotel. Unfortunately, he couldn’t remember the physiotherapist’s name. Please help the busy front desk worker by examining the four tables to find out the name of Eric’s physiotherapist.

Tabel 1: Clients

Tabel 2: Orders

Tabel 3: Ordered services

Table 4: Therapists

Who was Eric’s physiotherapist? Choose the correct answer.

Sample question 5

Hedy works at a horse stable. In the mornings, Hedy leads horses around the paddock. It’s possible to lead several horses at once, but no more than 3. One leading round usually takes Hedy at least 5 minutes, but when Adolf is included, it takes at least 10 minutes because Adolf is old and slow. Boris is a bit wild, so if Boris is included, only 2 horses can be led at a time. Carlos and Doris cannot stand each other and cannot be led together. The same applies to Einar and Fjalar. Gunnar loves people but is aggressive toward other horses, so it must be led alone.

What is the minimum amount of time Hedy needs for the leading rounds?

Sample question 6

There is a cupboard with some objects inside. At least one of the objects in the cupboard is a glass plate. At least one of the objects is a red plate. If there are objects in the cupboard that are red and made of glass, they are all plates. Let’s assume that all statements presented here are true.

Which of the following conclusions is necessarily true?

Sample question 7

The number of e-scooters has skyrocketed in the city, but there are no laws governing their use or how they should be parked. The city council has therefore accepted a motion that requires alcolocks to be installed on all e-scooters as a safety measure.

Which of the following statements best justifies the city council’s decision?