MATH BRAIN TEASERS

Fun Facts (Hints)

Mathematics has an extensive history in just about every culture or civilized society known to man. Listed below are some cool facts to get those math juices flowing:
  • In 1852 mathematician JJ Sylvester established the "theory of algebraic invariants."
  • In 1995 math great Andrew Wiles, proved "Fermat's Last Theorem."
  • The first decimal number system is said to have been invented in Ancient Egypt around 5000BC.
  • The Ancient Mayan civilization located in Central America is one of the only cultures in the recorded history of the world to use a place-value number system.
  • The American Mathematical Society was formed in the late months of 1888 in New York.
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    Riddles and Answers © 2021

    17 Cows Riddle

    Hint:
    The neighbour borrowed an extra cow, to make the total number of cows 18. Then the oldest son got 1/2 of 18 is 9 cows, the middle son got 1/3 of 18 is 6 cows, and the youngest son got 1/9 of 18 is 2 cows. Since 9+6+2 = 17, the cows could be divided among the three brothers in such a way that the borrowed cow was left over, and could be returned to its owner.
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    12 = 6 And 6 = 3 Riddle

    Hint:
    12 (Twelve) has 6 letters,

    6 (Six) has 3

    Therefore,

    10 (Ten) will be equal to 3
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    Borrow $50 From Mom And $50 From Dad Riddle

    Hint:
    Total Money taken = $100($50+$50)

    Now,

    Bag's Price = $ 97

    Remaining Amount = $100 - $97

    = $ 3

    Returned = $ 1 + $ 1

    =$2

    In pocket = $1

    Total money owed = $100- ( Returned amount)

    = $98( Bag's amount and reserved amount)

    So, it was a calculation mistake.
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    The Correct Number Riddle

    Hint:
    121

    Explanation
    Tables consist of squares of the number from 4 to 12.
    11^2 = 121.
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    Steals $100 Riddle

    Hint:
    The loss is $100.
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    Shoe Man Whistle

    Hint:
    The third equation has a term with a pair of whistles. The last line involves a single whistle.

    Furthermore, the man in the second and third lines are wearing a whistle, but the man in the last line is not wearing a whistle. Presumably the value of the whistle should be accounted for to get the correct answer.

    The pictures can be translated into the following equations:

    shoes + shoes + shoes = 30
    shoes + (man + whistle) + (man + whistle) = 20
    (man + whistle) + 2(whistles) + 2(whistles) = 13
    shoes + (man) x (whistle) = ?

    From the first equation we can solve for the shoes value:

    shoes + shoes + shoes = 30
    3(shoes) = 30
    shoes = 10

    We can then solve the second equation for the (man + whistle) value:

    shoes + (man + whistle) + (man + whistle) = 20
    10 + 2(man + whistle) = 20
    2(man + whistle) = 10
    man + whistle = 5

    Then we solve the third equation for the whistle:

    (man + whistle) + 2(whistles) + 2(whistles) = 13
    5 + 4(whistles) = 13
    4(whistles) = 8
    whistle = 2

    We also need to solve for the value of the man:

    man + whistle = 5
    man + 2 = 5
    man = 3

    Now we can evaluate the final expression, remembering the order of operations that multiplication should be evaluated before addition:

    shoes + (man) x (whistle) = ?

    10 + 3 x 2
    = 10 + 3 x 2
    = 10 + 6
    = 16
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    $100 Bill Grocery Store Thief

    Hint:
    The best answer from the choices is the owner lost $100. The $100 bill that was stolen was then given back to the owner. What the owner loses is the $70 worth of goods and the $30 in change, which makes for a total of $70 + $30 = $100. The owner has lost $100.

    Technically, the owner lost $30 plus the value, V, of the $70 of goods. Since stores typically sell goods at a markup, the value may be less than $70. But in the case of a loss leader, the owner may have lost more than $70.
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    Banana Clock Riddle

    Hint: 1. Look closely at the clock. 2. Number of Bananas. 3. Some thing regarding the sides of the Shapes figure.
    38

    Logic :
    From 1st the hexagon shape has value 15.
    The shape has 15 edges(6 of hexagon,5 of Pentagon and 4 of Square)
    From 2nd we get value of one bunch of bananas is 4.
    So each banana has value of 1.
    From 3rd we get that each clock has value of 3.
    Which resembles the time on the clock which is 3.
    Hence by using these insights, we get the last required values as
    Clock = 2 (2 in the clock)
    Bananas = 3 (3 bananas in the bunch)
    Hexagon = 11 (Hexagon[6 sides] and pentagon[5 sides], so 6+5=11)
    So required value is
    2+3+3x11=?
    2+3+33=? (Multiply first - Bodmas rule)
    5+33=38 and hence the answer is 38.
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    Age Of Three Daughters Riddles

    Hint:
    3, 3, and 8. The only groups of 3 factors of 72 to have non-unique sums are 2 6 6 and 3 3 8 (with a sum of 14). The rest have unique sums:

    2 + 2 + 18 = 22
    2 + 3 + 12 = 18
    2 + 4 + 9 = 15
    3 + 4 + 6 = 13

    The house number alone would have identified any of these groups. Since more information was required, we know the sum left the answer unknown. The presence of a single oldest child eliminates 2 6 6, leaving 3 3 8 as the only possible answer.
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    The Number Four Be Half Of Five Riddle

    Hint:
    IV, the Roman numeral for four, which is “half” (two letters) of the word five.
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    Bus Driver Riddle

    Hint:
    You are.
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    Pearl Problems Riddle

    Hint: If you took out 2 pearls, you would have about a 50% chance of getting 2 gold bars. However, you can take even more pearls and still retain the 50% chance.
    Take out 5000 pearls. If the remaining pearl is white, then you've won 5000 gold bars!
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    Coconut Toll Booth Riddle

    Hint:
    1 10
    2 10
    3 9
    4 9
    5 9
    6 8
    7 8
    8 7
    9 7
    10 7

    200-84 = 116
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    Going To The Picnic

    Hint:
    2 people.

    It is stated clearly that Mr. and Mrs. Smith went for a picnic. It does not say that the others accompanied them.
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    The Weight Of A Melon Riddle

    Hint: We are to determine X the total mass of melon after the drying. The Dry weight, DW is 1lb both before and after the drying. The New Water weight, WNW is clearly X - DW or X - 1
    50 lbs.
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