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rocdocmac

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  6. Arc length = area

    in New Logic/Math Puzzles

    Posted · Edited by rocdocmac

    Does this question mean finding a function where the arc length (XZ in the figure below) is the same as the area of the segment (shaded), notwithstanding the fact that arc length is in units and segment area in squared units?

     

    image.png.f719ae0f1469bff583b98b03e5ae2e1b.png

  7. Singular plurals

    in New Word Riddles

    Posted · Edited by rocdocmac

    Spoiler

    Captain Ed has a good point. However ...

    Species is a unit of biological classification, but the singular and plural are the same.

    Specie is money held in coins rather than notes (i.e. a different word, but a plural form).

    Are we looking for two different words, one of which is only singular (with the "s") and the other only plural (without the "s")?

    I suppose the ending "ss" for singular and "s" for plural with the same stem is not what Bonanova has in mind. There are too many possibilities!

     

  8. Singular plurals

    in New Word Riddles

    Posted · Edited by rocdocmac

    Spoiler

    brass - s = bras

     

    Playing with singulars and plurals I arrived at these facts ,,,

    If the plural of mouse is mice and that of louse is lice,  then the plural of house must be hice and the singular of rice must be rouse.

  19. 4 puzzles

    in New Logic/Math Puzzles

    Posted · Edited by rocdocmac

    3) Hollow victory is to Pyrrhic as hollow village is to [x]?

    Spoiler

    or  potyomkin (if the Russian pronunctiation is considered)

    4) Universe is to cosmo- as universal laws is to [x]?

    Spoiler

    cosmonomo-

     

  21. Alchemical Substances

    in New Logic/Math Puzzles

    Posted

    This is a pretty easy fun exercise…

    Suppose you have 24 “alchemical substances". Could you group each of them according to its type and color?

    Rules:

    (1)    There are four types of substance only: crystal, dust, leaf, liquid

    (2)    There can’t be two substances that have the same type and color

    (3)    If two substances of primary color (blue, red, yellow) are mixed, you usually obtain a substance in which the color is the result of the fusion of the original substances

    (4)    The substances of secondary colors (green, orange, purple)  can’t be mixed with other substances

    Clues:

    1.       Basic acid

    Used as a refreshing beverage extracted from amber feathers, from which can also be extracted a red powder you can find on the list. You can recognize that the color of the basic acid is exactly the same as that of the amber feathers, minus the red.

     

    2.       Antiruby

    Resembles the anti-emerald in every aspect, but is of opposite color.

     

    3.       Anti-emerald

    Resembles the antiruby in every aspect, but is of opposite color.

     

    4.       Solid heat

    Obtained by solidifying some sweet sulfur, from which it takes the color. The crystals of solid heat can sometimes grow crocodile tears which, unlike the solid heat, have the typical color of plants.

     

    5.       Vampire heart

    Typical crystals obtained by injecting drops of essence of sadness inside a crystal of anti-emerald. Clearly the color is derived by the fusion of the two substances. It takes its name from the fact that it resembles, in form and color, the drained heart of a vampire.

     

    6.       Baleful destiny

    This is a potentially lethal substance obtained by mixing some tongue stingy and some essence of sadness. It’s of the same type as the latter, but its color is derived from the mixture of both.

     

    7.       Essence of sadness

    A rare substance of a bluish color.

     

    8.       Neverthen leaves

    Very rare and mostly used in the production of green wine with which they don’t have the same color.

     

    9.       Pulverised leaves

    It’s a substance useful as a base for many compounds, and obtained from the crushing of crocodile tears with which they share the color. .

     

    10.   Fragments of memory

    A non-expert could easily confuse them for envy drops, given that they’re identical in the type of substance. It’s the color that makes the difference. Fragments of memory more closely resemble the color of the stardust. It can be used as a catalyst in some alchemical reactions.

     

    11.   Moonflower

    In the shadow of the moon many beautiful arcane flowers grow. The purple leaves, called moonflowers, follow the phases of the moon. These leaves are usually used as catalysts.

     

    12.   Envy drops

    Little crystals sharing part of their name with envy petals only because of their color. The type is completely different.

     

    13.   Crocodile tears

    A mysterious substance growing spontaneously on a crystal present in the list. From crocodile tears it is possible to extract another substance, also listed here.

     

    14.   Faceless mandrake

    This is obtained by removing the blue from moonflowers through complex manipulation. Aside from that, the fearless mandrake has no catalytic properties, although being of the same type.

     

    15.   Tooth dough

    One needs to crush antiruby to obtain this. Two powders will be produced – the first is blue, but not the same blue powder as listed somewhere here. The other is tooth dough.

     

    16.   Envy petals

    The drained leaves of the envy plant. It’s very easy for a beginner to make a mistake: envy petals are never blue!

     

    17.   Amber feathers

    They’re wrongly considered to be linked to sweet sulfur because of their identical color. It’s possible to extract two powders from amber feathers – only one of these is listed. Using a pot, one can extract a drink you can find in the list and a useless liquid. From that, we can conclude that amber feathers never appear in liquid or powder form.

     

    18.   Stardust

    Wrongly considered a product of neverthen leaves because of their identical color.

     

    19.   Tongue stingy

    Substance for refined palates, obtained by crushing some amber feathers. It also comes out a yellow substance which is not listed. Its color is similar to that of the amber feathers without the yellow.

     

    20.   Love blood

    Often used in love potions and is similar to blood in type and color.

     

    21.   Dragon blood

    Does not look like blood, either in type or color. It has the opposite color of tooth dough.

     

    22.   Salted sun

    A powder that is perfect for food. Obtained by crushing an anti-emerald and adding a yellow dye.

     

    23.   Green wine

    Obtained from the fermentation of neverthen leaves and envy petals. The color is derived by the sum of the color of the two substances.

     

    24.   Sweet sulfur

    The substance formed by mixing water and salted sun. The resulting compound is similar in consistency to the green wine and in color to the salted sun

  24. Ages of brothers

    in New Logic/Math Puzzles

    Posted · Edited by rocdocmac
    grammar

    Two of the ages of three brothers together equal the third age.

    Some years later, the sum of two of the three ages is double the remaining age.

    One of the brothers is coming to age today.

    The number of years since the first occasion is currently two-thirds of the sum of their ages at the time of the first occurrence.

    What ages do the other two  brothers have today?

     

     

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