Maths
What is the formula that gives us the angle between two vectors?
Dot product (skalární součin)
By what force is the object placed into liquid lightened?
By the weight of the displaced liquid.
Name the country with the world’s largest Muslim population
Indonesia
How many hours of sleep should an average 20-year-old get to feel rested?
7 to 9 hours :(
What does LLM stand for?
Large language model
What’s the name of the formula gives us a normal vector to a plane given by 3 coordinates?
cross product (vektorový součin)
Why does the light bend upon entering an object that slows it down?
It always travels by the fastest route.
In which country would you find the infamous Death Road
Bolivia
Most dangerous city in the Czech republic per capita.
Most
(Ústí per capita is at 3rd)
What causes cables to heat up under load?
Resistance
How many times can we fit a 1000 into 10^999?
10^996
How deep is the well if we let a stone fall and hear the stone enter the water after 10 seconds?
around 500 m
From which country does the tea Assam and Darjeeling come from?
India
What are the contents of the drink "strudel"
Fire Whisky + Apple Juice
(we gotta count rum too sadly)
What is the smallest part of the logic processor in a computer?
Transistor
What’s the number of ways that we can choose 2 object from a group of 8 different objects.
C(2, 8) = 28
What is the formula of force on bar caused by a person performing a pull-up? Where “a” is acceleration of the person.
F = m(g + a)
Name all countries bordering with Lesotho.
South Africa
Which Czech tradition might be considered most controversial or surprising to people from other countries?
How we celebrate Easter
What is the name of a function that allows us to encode/decode information from waves?
Fourier transform
What is the ratio between logarithms of base 2 and base 10 given that approximately 2^10 = 1000?
10/3
Two objects are at same position and will be going the same route. First object has an average moving speed of 100 km/h and the second an average moving speed of 1100 km/h. First object departs an hour sooner than second object. How long will it take second object to catch up to the first one?
0.1h
which two countries have almost identical flags?
(2 possible answers)
Romania x Chad
Monaco x Indonesia
If you have a Category B driving license in the Czech Republic, what other categories do you get automatically?
Given that the gear ratio is: DRIVEN/DRIVER. Is gear ratio for a 1st gear in a transmission going to be smaller or bigger than a gear ratio for 5th gear?
Bigger