Missing Dollar Riddle
Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 for himself. Each guest got $1 back: so now each guest only paid $9; bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?
Hint: Make a list of all of the people involved and how much money they ended up with/spent.
The $9 paid by each guest accounts for the $2 that went to the bellhop. So rather than adding $27 to the $2 kept by the bellhop, the $27 accounts for the bellhops money. The $27 plus the $3 kept by the guests does add up to $30. Did you answer this riddle correctly?
YES NO
YES NO
Prince Age Riddle
A princess is as old as the prince will be when the princess is twice the age that the prince was when the princess's age was half the sum of their present ages.
What are their ages?
What are their ages?
Hint:
Current Future Past
Princess x 2z (x+y)/2
Prince y x z
I then created three equations, since the difference in their age will always be the same.
d = the difference in ages
x y = d
2z x = d
x/2 + y/2 z = d
I then created a matrix and solved it using row reduction.
x y z
1 -1 0 d
-1 0 2 d
.5 .5 -1 d
It reduced to:
x y z
1 0 0 4d
0 1 0 3d
0 0 1 5d/2
This means that you can pick any difference you want (an even one presumably because you want integer ages).
Princess age: 4d
Prince age: 3d
Ages that work
Princess:
4
8
16
24
32
40
48
56
64
72
80
Prince:
3
6
12
18
24
30
36
42
48
54
60 Did you answer this riddle correctly?
YES NO
Princess x 2z (x+y)/2
Prince y x z
I then created three equations, since the difference in their age will always be the same.
d = the difference in ages
x y = d
2z x = d
x/2 + y/2 z = d
I then created a matrix and solved it using row reduction.
x y z
1 -1 0 d
-1 0 2 d
.5 .5 -1 d
It reduced to:
x y z
1 0 0 4d
0 1 0 3d
0 0 1 5d/2
This means that you can pick any difference you want (an even one presumably because you want integer ages).
Princess age: 4d
Prince age: 3d
Ages that work
Princess:
4
8
16
24
32
40
48
56
64
72
80
Prince:
3
6
12
18
24
30
36
42
48
54
60 Did you answer this riddle correctly?
YES NO
The Emperor's Proposition Riddle
You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you 50 black marbles, 50 white marbles and 2 empty bowls. He then says, "Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK... you will die."
How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?
How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?
Hint: The answer does not guarantee 100% you will chose a white marble, but you have a much better chance.
Place 1 white marble in one bowl, and place the rest of the marbles in the other bowl (49 whites, and 50 blacks).
This way you begin with a 50/50 chance of choosing the bowl with just one white marble, therefore life! BUT even if you choose the other bowl, you still have ALMOST a 50/50 chance at picking one of the 49 white marbles. Did you answer this riddle correctly?
YES NO
This way you begin with a 50/50 chance of choosing the bowl with just one white marble, therefore life! BUT even if you choose the other bowl, you still have ALMOST a 50/50 chance at picking one of the 49 white marbles. Did you answer this riddle correctly?
YES NO
Strawberry Resemblance
Hint:
Hot Air Balloon Over The Sahara
One sunny afternoon, three men go for a ride on a hot air balloon over the Sahara desert. An hour into the trip, the balloon begins to lose altitude. A month later, someone found one of the ballooners laying on the desert sand dead, naked, and holding half a toothpick. What happened to him?
Hint:
As the balloon lost altitude, the men took of their clothes and threw them overboard to decrease the weight of the balloon. The balloon continued to drop so the men drew straws to see who would be forced to jump. The dead man in the desert drew the shortest one (the half toothpick). Did you answer this riddle correctly?
YES NO
YES NO
Leave Me Alone And I Will Die
I have no ears, but more than one eye,
Cut me in half, I wont cry,
Leave me alone and I will die.
What am I?
Cut me in half, I wont cry,
Leave me alone and I will die.
What am I?
Hint:
A potato. The roots growing out of a potato are called eyes, when you cut a potato in half it doesnt produce any moisture and if you leave a poor potato to its own devices, it will die. Did you answer this riddle correctly?
YES NO
YES NO
David Is 6 Years Old Riddle
Hint:
David: 6
Lauren: 3
David is 3 years older than Lauren.
So when David is 100 Lauren is 97.
Answer: 97 Did you answer this riddle correctly?
YES NO
Lauren: 3
David is 3 years older than Lauren.
So when David is 100 Lauren is 97.
Answer: 97 Did you answer this riddle correctly?
YES NO
Lily Pad Riddle
In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?
Hint:
The patch doubles in size every day and so on the 47th day the patch will be half the size it is on the 48th day Did you answer this riddle correctly?
YES NO
YES NO
A Cruise Between Mexico And The USA Riddle
A man sails off on a cruise between Mexico and the USA. He does not stop at any ports and does not even come out of the cabin, yet he makes $300,000 from his trip. How?
Hint:
In The Jar Riddle
A jar is put on the edge of the table in such a way that half of it is left hanging. What is in the jar?
Hint:
Turn Me On My Side And I Am Everything Riddle
Hint:
The number 8. On its side, the number 8 looks like an infinity symbol. Cut in half, the number 8 becomes two zeros. Did you answer this riddle correctly?
YES NO
YES NO
A Boy Has As Many Sisters As Brothers Riddle
A boy has as many sisters as brothers, but each sister has only half as many sisters as brothers. How many brothers and sisters are there in the family?
Hint:
Four brothers and three sisters.
Every boy will have 3 brothers and 3 sisters. Every girl will have 4 brothers and 2 (half of the number of brothers) sisters. Did you answer this riddle correctly?
YES NO
Every boy will have 3 brothers and 3 sisters. Every girl will have 4 brothers and 2 (half of the number of brothers) sisters. Did you answer this riddle correctly?
YES NO
A Book Costs $1 Riddle
Hint:
The book costs $2.
Let the cost be X. We know that:
X = 1 + X/2
Solving for X will give 2. Did you answer this riddle correctly?
YES NO
Let the cost be X. We know that:
X = 1 + X/2
Solving for X will give 2. Did you answer this riddle correctly?
YES NO
A Man Steals 1000 From A Shop Riddle
A man steals $1000 from shop, spends $700 in same shop and gets $300 change. Now how much did shop owner gets loss?
Hint:
We can easily solve this mathematical problem by using the following mathematical process.
Initial loss amount = Rs. 1000
Now, we have to calculate the recovered amount,
As the man spends Rs. 700 in the shop, the shop owner will surely provide the man goods/services of Rs. 700. So, nothing will be recovered in this case.
Now, the man gave Rs. 1000 against the goods/services of Rs. 700 and got Rs. 300 change, so there will be no recovering of money for the shopkeeper.
Final loss = Initial loss - Recovered amount = 1000-0 = Rs. 1000 Did you answer this riddle correctly?
YES NO
Initial loss amount = Rs. 1000
Now, we have to calculate the recovered amount,
As the man spends Rs. 700 in the shop, the shop owner will surely provide the man goods/services of Rs. 700. So, nothing will be recovered in this case.
Now, the man gave Rs. 1000 against the goods/services of Rs. 700 and got Rs. 300 change, so there will be no recovering of money for the shopkeeper.
Final loss = Initial loss - Recovered amount = 1000-0 = Rs. 1000 Did you answer this riddle correctly?
YES NO
A Girl Has Many Brothers And Sisters Riddle
A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family?
Hint: Be sure to count the sisters and brothers in total and in terms of their own number of siblings.
4 daughters (sisters) and 3 sons (brothers)
A girl has as many brothers as sisters : If one of the daughters count her siblings, she would count - 3 sisters (3 remaining daughters in the family) and her 3 brothers (3 Sons in the family). So, it makes the statement true that the girl has as many brothers as sisters.
Each brother has only half as many brothers as sisters. This means, when one of the sons count his siblings, it would be 2 brothers (remaining 2 sons of the family) and 4 sisters (All 4 daughters in the family). 2 is the half of 4. It agrees to the condition that
each brother has only half as many brothers as sisters.
Therefore the answer is :
The family has 4 daughters (sisters) and 3 sons (brothers). Did you answer this riddle correctly?
YES NO
A girl has as many brothers as sisters : If one of the daughters count her siblings, she would count - 3 sisters (3 remaining daughters in the family) and her 3 brothers (3 Sons in the family). So, it makes the statement true that the girl has as many brothers as sisters.
Each brother has only half as many brothers as sisters. This means, when one of the sons count his siblings, it would be 2 brothers (remaining 2 sons of the family) and 4 sisters (All 4 daughters in the family). 2 is the half of 4. It agrees to the condition that
each brother has only half as many brothers as sisters.
Therefore the answer is :
The family has 4 daughters (sisters) and 3 sons (brothers). Did you answer this riddle correctly?
YES NO
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