KBGS Old Boys' Forum

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Conundrum

Going the rounds at school a long time ago were the following, which I have never encountered anywhere since:--
"Why is a mouse when it,s spinning ?" and
"If a hen and a half lays an egg and a half in a day and a half, how long will it take six hens to lay six eggs ?"
We were led to understand that there was a logical explanation of the first, and a formula to answer the second . Can anyone put me out of my misery after all these years ?

Years at KBGS e.g. 1958-1964 (optional) 41/46

Current location (optional) Mexico

Re: Conundrum

Ive no idea about the mouse, but the hen question is straightforward.

How on earth can a hen and a half lay an egg and a half?
Anyway working out theoretically:-

If the hens increase four fold (from 1.5 to 6) and the eggs also increase fourfold (from 1.5 to 6), then the answer is still a day and a half !

Years at KBGS e.g. 1958-1964 (optional) 58-64

Current location (optional) Singapore

Re: Conundrum

Correction. The first should read "Why is a mouse when it,s spinning ?" and the answer was said to be " Because the higher the fewer," and there is supposed to be a rational explanation !

Years at KBGS e.g. 1958-1964 (optional) 41/46

Current location (optional) Mexico

Re: Conundrum

Call me thick but I don't get the mouse thing but I was fortunate enough to pick up a Brownhenway at a local garage sale recently..

Current location (optional) Oliver B.C. (Haworth)

Re: Conundrum

this is even more confusing, what is a brownhenway?

Years at KBGS e.g. 1958-1964 (optional) 1958-61

Current location (optional) Blue Mountains, Australia via Haworth

Re: Conundrum

Peter Nichols
Correction. The first should read "Why is a mouse when it,s spinning ?" and the answer was said to be " Because the higher the fewer," and there is supposed to be a rational explanation !


If the question was "How high is a mouse when it's spinning?" (How high sounds like why) then in conjunction with the following from Google the answer "The higher the fewer." almost makes sense.

And the meaning had to do with the centrifugal governor on an old steam engine - the weight was called the mouse, and as the engine rpm increased the mouse would rise due to centrifugal force. But as the mouse rose, the arm would force the steam valve in the more closed direction, thus reducing the rpm, that is, the higher (the mouse), the fewer (rpms).

Years at KBGS e.g. 1958-1964 (optional) 1954-59

Current location (optional) Denholme (garethwhittaker99@hotmail.com)

Re: Conundrum

Quite right Gareth. Somehow, I remember Peter posing the same 'conundrum' some 2/3 years ago, and my brother Arthur posting the very same answer, almost verbatim, so I can only assume he picked it up off Google himself.
Just to keep your 'grey matter' active, try this one:-
'A fox completes the same round trip every evening. If he covers his outward journey at 175 meters/hour, and returns over exactly the same distance at 70 meters/hour, what is his average speed for the entire journey? Blow the dust off those old Algebra books!!

Years at KBGS e.g. 1958-1964 (optional) 1945-1950

Current location (optional) Keighley

Re: Conundrum

Looks like 100m/h. Is that right?

Years at KBGS e.g. 1958-1964 (optional) 58-65

Current location (optional) leeds

Re: Conundrum

Foxed if I know!

Years at KBGS e.g. 1958-1964 (optional) 1952-60

Current location (optional) Lincoln

Re: Conundrum

Yup - 100metres/hour.

Re: Conundrum

Well done, Trevor. Light yourself a big cigar!

Years at KBGS e.g. 1958-1964 (optional) 1945-1950

Current location (optional) Keighley

Re: Conundrum

It's a bloody slow fox.It's going to be in trouble when the Tories get back in power!

Years at KBGS e.g. 1958-1964 (optional) 55-60

Current location (optional) Harrogate

Re: Conundrum

Someone sent me this recently, not too difficult....

Please look at the maths below:

They say only people with an IQ with 120 and over are able to figure this out.

Prove me wrong

If:

2 + 3 = 10

7 + 2 = 63

6 + 5 = 66

8 + 4 = 96

Then:
9 + 7 = ?

Years at KBGS e.g. 1958-1964 (optional) 1952-60

Current location (optional) Lincoln

Re: Conundrum

I work it out to be 144, but then again, I do have an IQ in excess of 120.

Reasoning
2+3=10
2+3=5 (x 2 ie the 1st number of the pair)=10
7+2=63
7+2=9 (x 7 ie the 1st number of the pair)=63
6+5=66
6+5=11 (x 6 ie the 1st number of the pair)=66
8+4=96
8+4=12 (x 8 ie the 1st number of the pair)=96

Beaky would have been proud of me, probably not. I still don't know what a Brownhenway is though.

Years at KBGS e.g. 1958-1964 (optional) 1958-61

Current location (optional) Blue Mountains, Australia via Haworth

Re: Conundrum

OK you get 10/10 for that one John. Of course using that same system 1 + 1 = 2 as it always has!

Years at KBGS e.g. 1958-1964 (optional) 58-64

Current location (optional) Wirral

Re: Conundrum

Have you changed your name or have you got a cold.

Years at KBGS e.g. 1958-1964 (optional) 58-65

Current location (optional) leeds

Re: Conundrum

I always had trouble with maths. Did you know that I'm not on my own, because 4 out of every 3 people have trouble with fractions.....

Years at KBGS e.g. 1958-1964 (optional) 1960-1964

Current location (optional) Bradford

Re: Conundrum

If it helps, that's fraction 4/3 of the population Steve.

Years at KBGS e.g. 1958-1964 (optional) 1958 - 65

Current location (optional) Dudley, West Midlands

Re: Are you the GW

who worked at the accountants Rhodes & Co in the 1980,stel 01535 272095

Years at KBGS e.g. 1958-1964 (optional) 1960 -1965

Current location (optional) 7 Chapel row, Wilsden, Bradford W Yorks BD15 0EQ

Re: Conundrum

Thank you ,David, for reminding me of Arthur´s explanation of a couple of years ago. As I read Gareth´s response I realised I had heard it before------it must be the tequila !

Years at KBGS e.g. 1958-1964 (optional) 41/46

Re: Conundrum

Terry your maths problem is neat. Ever the pedant especially in things mathematics which prides itself in precision of language I have to insist that in a way the question is unfair, or rather incorrectly posed. The use of conventional notation + (plus) and = (equals) is misleading and of course deliberately so to fog the solution. What we are required to really do is define the function that maps a given pair ( x, y) to a single element(z).
I am not sure of the correct functional notation but it probably will look something like this:
If f ( x, y) -> z
And given that f(2,3) -> 10 and f (4,5) ->36 etc ……… define f

The answer being that for any pair ( x,y) the function f maps the pair(x,y) to z where z = x( x+y)

Re: Conundrum

Sounds like one of Zeno's Paradoxes,Arthur.

Years at KBGS e.g. 1958-1964 (optional) 55-60

Current location (optional) Harrogate

Re: Conundrum

What is the smallest number of people you would need so that there is a greater than 50:50 change of two having the same birthday ?

I was asked this the other day, as my daughter and I shared the same birthday last week.

It's not too difficult really, but I thought I'd pass it on for your perusal.

Years at KBGS e.g. 1958-1964 (optional) 58-64

Current location (optional) Wirral

Re: Conundrum

23 ...... or possibly 22 if you count 29th February (not sure about that though).

Years at KBGS e.g. 1958-1964 (optional) 58-65

Current location (optional) leeds

Re: Conundrum

I can remember the time when giving an answer without an explanation as to how you had arrived at it would have got you a clip round the lug'ole. It may well be right(it might also be a wild guess!)

Years at KBGS e.g. 1958-1964 (optional) 55-60;

Current location (optional) Harrogate

Re: Conundrum

I'd better steer clear o' thee - or at least not tek mi lug'oles wi' me.
OK.
You need at least 50% probability of 2 people with the same b'day - so less than 50% probability of all having different b'days.
First person certainly has a birth date - prob 100%.
Second person has a different birth date - prob (364/365 x 100)% = 99.7% approx.
Third person has a birth date different from both these - prob (363/365 x 364/365 x 100)% = 99.2% approx.
Etc. etc.
When you get to the 23rd person this equals slightly less than 50%. Q.E.D.

Years at KBGS e.g. 1958-1964 (optional) 58-65

Current location (optional) leeds

Re: Conundrum

Yes I got 23 as well Shaun , so it must be right !

Years at KBGS e.g. 1958-1964 (optional) 58-64

Current location (optional) Wirral

Re: Conundrum

John Felvus
this is even more confusing, what is a brownhenway?


John the answer to the question "What's a brownhenway?"

About 4lbs..

Re: Conundrum

Now I remember why we used to call you Gammy Scott

Years at KBGS e.g. 1958-1964 (optional) 1958-61

Current location (optional) Blue Mountains, Australia via Haworth

Re: Conundrum

Can you find integers x, y and z such that x cubed plus y cubed = z cubed, or can you show that this can't be done. First correct answer gets a pint of Landlord.

Years at KBGS e.g. 1958-1964 (optional) 58-65

Current location (optional) leeds

Re: Conundrum

Come home Fermat,all is forgiven.

Years at KBGS e.g. 1958-1964 (optional) 55-60;

Current location (optional) Harrogate

Re: Conundrum

I was just hoping someone might help me win the million dollars.

Years at KBGS e.g. 1958-1964 (optional) 58-65

Current location (optional) leeds

Re: Conundrum

Now, let me see; a million dollars or a pint of Landlord - difficult choice!

Years at KBGS e.g. 1958-1964 (optional) 55-60;

Current location (optional) Harrogate