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Can you solve this ? Zagreb UNI humanities entrance exam
Zagreb University has demanding entrance exam required if you want to enroll to study humanities. Thing is, despite humanities orientations, potential students have to pass IQ test, with additional matematicss, logics and even physics questions. This caused lot of controversy in Croatia because humanities students don't need such skills......nevertheless, in addition to standard matura-leaving nation wide exams, they have to pass special entrance exam. I posted few questions here, and challenge you to solve them. Average time allowed per question is 1.5 minute, and calculators are not allowed:
1. Long line of numbers is formed by writing down number 2009 exactly 2009 times. Total sum of all odd numbers in that line, that are followed by an even number are .....?
2. In pool with balls, there are 24 blue balls, 56 green balls and 39 yellow balls. If we take one ball from the pool, which is the possibility for it to be yellow ?
3. From 30 high school graduates, 8 applied for architecture, 20 for humanities, and 30 for medicine. How much candidates did apply for at least one course ? And the most that applied one course ?
4. 100 tourists arrived by boat. Among them 10 do not speak neither German nor French. 75 speaks German, and 83 speak French. How much tourists speak both languages ?
5. Car travels by speed of 90 km per hour to the east for 3 minutes, and than turns to the north and drives for another 100 minutes. In the end he travelled 234.5 kn/h total. What speed did he have when he turned north ?
6. Using 3/4 of her average speed, Sonja arived in town 20 minutes later than usual. How much tim Sonja needs to arrive in town using her average speed ?
7. There are both pigs and chickens on the farm. Totl sum of animals is 80, and total sum of legs is 220. How much chicken there is ?
8. Dance troup does their every new training in 3/5 of time they did they last training in. For how much time they do their fourth training, if they did their first practice in 2 hours and 5 mns ?
9. Group of people started to swimm regulary. When they had first practice, they menaged to swimm one olympic lenght of the pool. Every next day they menaged to swimm one olympic lenght more than they did in previous day. How much they menaged to swimm in one day on average, if they went swimming whole week, including weekend ?
10. Man needs to cross the river by boat with one goat, one wolf and one pack of vegetables. But, he needs to cross the river only with wolf, or only with goat, or only with vegetables. In mans presence, wolf wont eat the goat and got wont eat the vegetables. What is the smallest number of crossings man needs to make
not to leave goat, wolf and vegetables unsupervised ? They all need to cross the river in one piece. Every crossing is couned as one, including the crossing he makes back to the starting shore. Calculate.
These are average questions from maths part only. I'm wondering do you find them easy of difficult and does humanities collages in your country require similar skills on ther entrance exams ?
Cheers, try solve it. I can write correct answers later.
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Originally Posted by Feiichy
Hrvatska
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