Brain Teasers

[fuzzygeek]

RIDDLE & ANSWER

There is something unusual about these words, see if you can figure it out. The answer is below..but don't peek until you've given it a good shot!



Assess

Banana

Dresser

Grammar

Potato

Revive

Uneven

Voodoo

OK, see if you can figure out what these words have in common........




Are you peeking or have you already given up?




Answer:

In all of the listed words, if you take the first letter, place it at the end of the word, and then spell the word backwards, it will be the same word. Did you figure it out?

 

[ChipperT]

At a recent local political caucus everyone shook hands with everyone else (politics being what it is). In total there were 91 handshakes. Can you tell me how many people attended the caucus?

 

[Vassago]

At a recent local political caucus everyone shook hands with everyone else (politics being what it is). In total there were 91 handshakes. Can you tell me how many people attended the caucus?

Hidden Answer:

There were 13 people.

 

[ChipperT]

Hidden Answer:

There were 13 people.

Visible response: no, but close

 

[pbaldy]

I think it's

14 people

 

[Vassago]

You're right, I did the math wrong. Been too long

 

[PNGBill]

At a recent local political caucus everyone shook hands with everyone else (politics being what it is). In total there were 91 handshakes. Can you tell me how many people attended the caucus?

Is it 10 people - don't know how to hide / unhide - make text white??

 

[Galaxiom]

The answer is 14. The first person shakes hands with 13 others. The next with the 12 remaining after the one they already shook hands with and so on.

13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 +1 = 91

 

[PNGBill]

really should have paid more attention when at school.
How many babies were kissed ?

 

[Vassago]

Okay, how about this one... and no searching on the net for it either, try to honestly explain your answer logically... Here we go.

You have in front of you, two mugs. Mug A is filled with 1 cup of coffee. Mug B is filled with 1 cup of tea. You take exactly 1 teaspoon of liquid from Mug A and place it into Mug B. You then take exactly 1 teaspoon of liquid from Mug B and place it into Mug A. Which mug contains more of it's original contents? Please explain your answers.

 

[PNGBill]

Okay, how about this one... and no searching on the net for it either, try to honestly explain your answer logically... Here we go.

You have in front of you, two mugs. Mug A is filled with 1 cup of coffee. Mug B is filled with 1 cup of tea. You take exactly 1 teaspoon of liquid from Mug A and place it into Mug B. You then take exactly 1 teaspoon of liquid from Mug B and place it into Mug A. Which mug contains more of it's original contents? Please explain your answers.

Mug A & B are 100% of Coffee and Tea

Place 1 teaspoon from A into B and you get a Mix of X Tea and Y Coffee in B.

Remove One teaspoon from B and place it in A you have just placed one Mixed spoon into A.

B rec'd 100% Coffee
A rec'd 99% Tea

assumption is A is Purer then B

 

[PNGBill]

ooopps Holds more of the Original Contents - B does.
as A had a teaspoon removed from a cup where as B had a teaspoon removed from a cup and 1 teaspoon. Some of the teaspoon's contents would have been from the teaspoon it rec'd from A

 

[pbaldy]

If my math is correct:

They have the same amount (which isn't what I thought it would be when I first read it). Using bigger numbers for ease of math, if both cups have 5 units and I take 1 from A to B and then back. After the first move, cup B has 5 units of tea one 1 coffee. When I take out 1 unit, it is 1 of 6 units or 16.6667%. That means I take out .833333 of tea and .166667 of coffee. 5 minus .833333 is 4.166667 of tea, and 4 plus .166667 is also 4.166667 of coffee. There's probably a better way of explaining that, but I'm hurrying to make dinner so my excuse is hunger-induced brain cramps.

 

[ChrisO]

Paul is correct.

But it also depends on the temperature of the contents of both mugs and if the surface area of the liquids are equal and remain constant and also assuming both are at the same barometric pressure and at the same ambient temperature.

Other factors could include the content of un-dissolved sugar which would reduce in volume and is likely to absorb heat as it dissolves thereby reducing the overall temperature of the container into which it is being transferred. This could then lead to a contraction of volume. However, if the temperature dropped below 4 C then the water content may start to expand thereby increasing the volume.

The arguments, so far, are based on volume, cup and teaspoon, and not mass.

I think it requires more testing at the local where Irish whisky may be pored into our favourite beverage not withstanding that Irish whisky may be our favourite beverage.
(Under that circumstance who would give a rat’s arse?)

More testing required…

 

[ChipperT]

The answer is 14. The first person shakes hands with 13 others. The next with the 12 remaining after the one they already shook hands with and so on.

13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 +1 = 91

That is correct. Another way to do it is like this:

With two people (A and B), there is one handshake
(A with B).

With three people (A, B, and C), there are three handshakes
(A with B and C; B with C).

With four people (A, B, C, and D), there are six handshakes
(A with B, C, and D; B with C and D; C with D).

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 91.
This is the quadratic equation n2+ n - 182 = 0. Solving for n, we obtain 13 as the answer and deduce that there were 14 people at the party.
Since 91 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 91. The last number that you entered (91) is n. n(13) + 1 = 14.

 

[ChipperT]

Paul is correct.

But it also depends on the temperature of the contents of both mugs and if the surface area of the liquids are equal and remain constant and also assuming both are at the same barometric pressure and at the same ambient temperature.

Other factors could include the content of un-dissolved sugar which would reduce in volume and is likely to absorb heat as it dissolves thereby reducing the overall temperature of the container into which it is being transferred. This could then lead to a contraction of volume. However, if the temperature dropped below 4 C then the water content may start to expand thereby increasing the volume.

The arguments, so far, are based on volume, cup and teaspoon, and not mass.

I think it requires more testing at the local where Irish whisky may be pored into our favourite beverage not withstanding that Irish whisky may be our favourite beverage.
(Under that circumstance who would give a rat’s arse?)

More testing required…

However, the more Irish whiskey that is added to the cup, the less sure the answer becomes. Rather like Schroedinger's Cat, this is known as Paddy's Dilemma.

 

[ChipperT]

Ok, next one:

Two guards are guarding safes. One of the safes contains $1,000,000.00 and the other will explode on opening, killing everyone around. You are only allowed to ask one guard one question, which must be answered either yes or no. The problem is that one guard always tells the truth and the other always lies, and you have no idea which is which. What one question would you ask and why?

 

[ChipperT]

I think it's

14 people

Bingo. You were the first with the answer.

 

[Brianwarnock]

That is correct. Another way to do it is like this:

With two people (A and B), there is one handshake
(A with B).

With three people (A, B, and C), there are three handshakes
(A with B and C; B with C).

With four people (A, B, C, and D), there are six handshakes
(A with B, C, and D; B with C and D; C with D).

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 91.
This is the quadratic equation n2+ n - 182 = 0. Solving for n, we obtain 13 as the answer and deduce that there were 14 people at the party.
Since 91 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 91. The last number that you entered (91) is n. n(13) + 1 = 14.

Whilst you are correct I am sure that most people would prefer to think of it as with n people the number of handshakes is the sum of the first n-1 numbers, and the sum as n(n-1)/2

Brian

 

[Brianwarnock]

Ok, next one:

Two guards are guarding safes. One of the safes contains $1,000,000.00 and the other will explode on opening, killing everyone around. You are only allowed to ask one guard one question, which must be answered either yes or no. The problem is that one guard always tells the truth and the other always lies, and you have no idea which is which. What one question would you ask and why?

You ask the guard which safe the other guard would say contained the money, you know that that will be a lie.

Brian