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Posts posted by Thorak

  1. -38.313484,145.196624

  2. The attachment you included is broken...so I don't know if my assumption on the description of the problem is correct, but assuming I read it correctly...the answer is: 

    Hidden Content


    Let the side length of the hexagon be t and the area H.
    B = 2 * t (so t = B / 2)
    H = 3 / 2 * A * t
    (A * t for the rectangle formed by the base and its opposite side then add the two triangles either side that each have area 1/4 * A * t)

    H = 3 / 2 * A* B / 2
    H = 60

    So the volume is 660 cm3 which is 0.66L

  3. Of cards - Uncover the three next elements of the following sequence: 8593,8600,8593,8592,8599,...


    8593, 8600, 8593, 8592, 8599, 8593, 8591, 8598

    not right, try different way

    3x0 milli kilo mega giga terra peta,so T P ?

    yeah, correct



  4. Today a lot of the animal firstgraders started their school attendance in our special five classes - there are only pythons in snake´s class number 1.A, cockatiels in bird´s class 1.B, turtles in class 1.C, grasshoppers in insect´s 1.D and finally some young crusaders in spider´s class number 1.E. 

    Most of the animals is completely normal, i.e. they have one head, snakes have no legs, birds have two legs, turtles four, insects six and spiders have eight legs.

    But attention ! We have one unique animal in each class - there is one three-headed python, one two-headed cockatiel, three-legged turtle, four-legged grasshopper and one firstgrader crusader has only 7 legs.

    Find out the number of animals in each class, if ... 

    - All animals have together 100 heads and 380 legs
    - In any class is not the same number of animals 
    - Difference between the largest and smallest class is exactly 10 animals 
    - In class 1.D you can count twice as many legs as there are in class 1.B 
    - In class 1.A there is the same number of heads as there is in class 1.E 

  5. On the Planet of Flowers live huge bees. In the same way as our earthly bees they deposit honey (its extraterrestrial equivalent) into the honeycombs of the shape of regular hexagonal prism. Unfortunately our expedition during a long journey back lost notes about the measurements of these honeycombs. One member of our expedition luckily (due to the fact that he weighs 80 kg and has 11-year old son) remembers that the honeycomb was 11 cm deep and that the product of greatest distance between the corners of the base (B) and the distance of opposite walls (A) was equal to 80 (distances were measured in centimeters). Could you please calculate how many liters of honey fits into one honeycomb to cover up scandalous data loss of our expedition?



  6. There are random numbers generators. It's a well known fact. But a less known fact is that every random number generator has its inventory imp. Its job is to supervisor the generated numbers so that all numbers are generated equally.
    Our imp's name is Igor and he is working for such a number generator that can generate up to ten digit numbers, while no such number with all same digits can be generated (they don't look random enough).
    His job is to write down every generated number (right aligned) and its inventory number. The inventory number says, how many digits of each were used in the random number. In the example you can see the generated random number 7970123 as well as its inventory number.
    Yesterday, a strange situation happened. After Igor wrote down another inventory number that day, he found out, it was completely same as the random number it belongs to!
    What number was it?


  7. Raindrop has fallen from leaf to another leaf, and lost 1/4 of its volume.
    Next, raindrop has fallen to another leaf, and lost 1/5 of its volume.
    And next to another leaf, and lost 1/6 of its volume.
    Finally, it has fallen to last leaf, and lost 1/75 of its volume.
    Question is, how many per cent of initial volume raindrop had after all fallings (Enter answer with accurate to 2 decimal places).
    Bill and William have decided to pull out his old cars from garage, in order to try how fast still they are. They did everything in form of contest, so they have dealed to stand in the start line and do a certain distance with cars in full throttle. Of course win that one, who reach the finish line first. When they reached the finish line they found out, that the car of Bill is 1,2 times faster, than the car of William. William has reached the finish line about 1 minute and 30 seconds later, than Bill. The bill´s car has reached in this given distance 60km/h speed in average.
    The question is: How long have to be this distance that they have passed, if we know the above said data? Enter the result in kilometers.
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