Brain Teaser No 1

OK, another teaser.

What is the largest amount of money you can have in coins and still not be able to give change for a dollar?

(Possible coins include only 1 cent, 5 cent, 10 cent, 25 cent, and 50 cent. One dollar is equal to 100 cents)

Matthew

[This message was edited by Matthew T on WEDNESDAY 04 June 2003 at 09:12.]

First glance suggests $1.19.......but that seems rather small.....so I'll have another look tomorrow

Cheers

Don

I find $1.19 too.

50, 25, 4 * 10, 4 * 1, for example.

Paul

Well, you managed to get it first time.

Matthew

The Naim 250 Lottery

The Naim 250 Lottery, as the Name implies, has the numbers from 1 to 250 inclusive EXCEPT that for some reason that only PS could explain all the multiples of 4 and 7 were excluded...... Don't ask me, ask Paul S....

So how many numbers are there in the Naim Lottery?

Cheers

Don

Another simple one, just to get the grey matter moving, so to speak,

Little Annie was reluctant to tell her age. So her mum spoke for her.

"Well, at present I am seven times older than Annie, but in twenty years tine I will only be twice as old as Annie will be then"

So how old is Annie at present?

Cheers

Don

Annie is 4

Simon

Simon,

Perfect.

Anybody want to say how many numbers were in the Naim 250 lottery? or is the problem so trivial......

Cheers

Don

Ok I know its trivial, but it takes time to find/develop more interesting ones.....

Another balancing act

The top and bottom sets of scales in the diagram below balance perfectly. How many of the missing letters are needed to balance the middle set?

Cheers

Don

? = CCCCCC

Simon

Bam

Bam posted some of the best teasers in this thread. I just started to re-read a few of them and realised that his last post in the thread was 4th May last year when he clarified a point about balancing some books.

At that time we were still struggling to find the elegant solution to his famous ladder problem and I posted what I thought was a witty reply...

""BamI forgot to say that the ........

I am glad these words didn't appear in your last post about the ladder......otherwise it might well have been your last post.......and we would then have the grim satisfaction of hearing the last post played on a bugle.........""

Appart from a couple of posts on other threads ending on 11th May last year, Bam never came back, even when Ken C actually found the elegant ladder solution.

Does anybody know what happened?

Cheers

Don

Simon,

I see, perfect (again)

Cheers

Don

quote:

---

Originally posted by Lo Fi Si:
? = CCCCCC

---

Or perhaps ? = AB or BBB

Dan

Don,

A quick calc gave me 161 as the number of numbers in the name lottery.

The answer to the balance scale is 2 letters, AB.

Matthew

Don,

I get 161 for the lottery puzzle also. I've appended the code.

Dan

> cnt = 0
> for i=1,250 do if ((i mod 4 ne 0) and (i mod 7 ne 0)) then cnt = cnt+1
> print, cnt
161

Glad to hear BAM is alive and well.

--J

Matthew, Dan,

Yep, the number of numbers in the Naim 250 lottery is 161.

My method was

No of 4s = 250/4 = 62
No of 7s = 250/7 = 35
No of 28s = 250/28 = 8

Hence number of valid numbers = 250 - 62 - 35 + 8 = 161

Cheers

Don

Paul,

The BAM I had in mind on DIYAudio goes as 'traderbam',

Yes, I seem to recall Bam using that identifier.

But my search on the DiyAudio forums seemed to turn up someone from the USA....

Cheers

Don

A quick one: What word changes its pronunciation when capitalized? Actually there may be more than just one, but I can only think of one at the moment.

cheers,

Dan.

What word changes its pronunciation when capitalized

By 'capitalized' I am assuming you mean 'make it into a noun (name)'

Now, whilst I was reading your puzzle, it crossed my mind that I live only a few miles from a town in Berkshire (nice one AlexS) called Reading.

To help those who are not from England, lets remind ourselves that the 'read' part of reading is pronounced 'reed' whereas the 'Read' part of Reading is pronounced 'red'.

Any good?

Cheers

Don

Balancing Act,

I posted that particular teaser, exactly as it was written in a book that I read a few months ago.

The answer given in the book was CCCCCC (ie 6*C)

I never felt that the answer was unique and I wondered how carefully worded the question had been. I actually find the question somewhat ambiguous.

To my mind we can determine that A=2B=4C

From this there seems to be a number of possible answers in addition to CCCCCC including

BBB.

Comments welcome

And apologies for setting a possibly ambiguous question, I won't knowingly do that again without warning

Cheers

Don

quote:

---

By 'capitalized' I am assuming you mean 'make it into a noun (name)'

---

The word I had in mind when capitalized is either a noun or an adjective. However, reading/Reading does satisfy my original post, so well done!

Anyone with others?

cheers,

Dan

Anyone with others?

A couple of words with identical spellings but different meanings and/or pronountiations, but NOT due to capitalization. However, they might help jog somebody's memory to solve Dan's puzzle.

The wind blows from the north. Wind up the window please.

This report is outstanding.Could mean the report is superb, or simply overdue.

Of course there a lots of such examples. Aren't there?

Cheers

Don

[This message was edited by Don Atkinson on SATURDAY 14 June 2003 at 08:44.]

The leading theory is that Dan popped Don with the lead piping but failed to capitalise.

If 'mana' were a word Mana would probably be pronounced differently.

Paul

row as in row my boat
or
row as in a row of soldiers
or
row as in I had a row(argument) with my son


Cheers

Don