Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

The Professor's test.

(1)

There are 4 reindeer in front of Blitzen.

Dancer is on the left of Prancer.

Rudolph is two ahead of Blitzen.

Donner is two behind Dasher.

Work out the positions of the reindeer as they pull the sleigh.

(2) A says None of us is lying. B says Only two of us are lying. C says Only one of us is lying.

Identify the liars.

(3) We met at the old School re-union. He said he had been married a while and had three children, including twins.

How old ?, I asked, but, knowing how I love puzzles, all he would say was

that their ages multiplied to give his age, which I knew to be 36.

Thats not enough information, I responded, so he also told me what their ages added up to.

Nope, still cannot work it out, I said; so he told me that the oldest had just started guitar lessons.

Arhh, now I can do it. Well, can you ?

(4) An explorer walks one mile south, then one mile east, and finally one mile north.

Curiously, he ends up, back where he started. So where did he start?

(5) Think again about (4).

There are actually an infinite number of places, on the surface of the Earth, where this could happen.

So it should be easy to describe another.

(6) Put an ice cube in a glass and top up with water. (the students had to work this out without carrying out an experiment,

As the ice melts, does the level rise, fall or stay the same?

Explain.

(7) What comes next? And then?

110, 20, 12, 11, 10,

(8) three codes

(The first gives a hint to the second, which gives a hint to the third. Use squared paper)

(a) 13 1 11 5 ## 1 ## 18 5 3 20 1 14 7

12 5 ## TWELVE ## 2 25 SEVEN . 5 14 20

5 18 ## 20 8 5 ## 3 15 4 5 ## 1 3 18

15 19 19 ## 2 21 20 ## 20 8 5 ## 13 5 19

19 1 7 5 ## 4 15 23 14 23 1 18 4 19 .

(b) DRLYTNZNQ AOREE EE USLNAC 7TSRTAHLEWTI.H OHRA S AI EASEEDT.AN P N SEH GBUODIS. E

(c) 00000000000011110100100100101010001001011000010010101000111101001000000000000

Happy puzzling,

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

hi bob

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi Stefy,

Good start.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**wintersolstice****Real Member**- Registered: 2009-06-06
- Posts: 125

bob bundy wrote:

hi Stefy,

Good start.

Bob

*Last edited by wintersolstice (2012-03-27 02:49:24)*

Why did the chicken cross the Mobius Band?

To get to the other ...um...!!!

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi wintersolstice

That's exactly what I had and I also was surprised by anonimnystefy's answer. Under the circumstances of the test, being surprised is entirely appropriate.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

Hi bob

so not all spaces count.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

Hi bob

In addition to the last post:

*Last edited by anonimnystefy (2012-03-27 06:27:16)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi Stefy,

!) OK.

All the spaces count. Some count double.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

Look at post #7 again.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi Stefy.

5) That may be true, but I'm looking for a solution on the Earth as it is! You don't have to shrink it.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

hi bobbym

I think i got it:

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi Stefy

Put together what you had before with what you are suggesting now and ....

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

hi bob

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**wintersolstice****Real Member**- Registered: 2009-06-06
- Posts: 125

bob bundy wrote:

hi wintersolstice

That's exactly what I had and I also was surprised by anonimnystefy's answer. Under the circumstances of the test, being surprised is entirely appropriate.

Bob

Why did the chicken cross the Mobius Band?

To get to the other ...um...!!!

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

hi wintersoltice

have you solve any other problems?

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi Stefy and wintersolstice,

Stefy: You have solved 5). Very well done. I think it is one of the harder ones in the test. In my opinion, number 7) is also a tough one.

wintersolstice. Good suggestion. I will modify the test should I need to set it again in another Universe.

Bob.

ps. signing off for tonight. 'See you' tomorrow.

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

hi bob

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi Stefy,

Yes, they are, well done!!

Bob

Just the codes to sort out then. It was years ago I made this three-part puzzle and I'd forgotten the final answer. So I have done it again. Stage two was a bit tricky because of the spaces but I got there after some fiddling with the spaces. There are 84 characters exactly in the finished grid.

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

Hi bob

I must admit that I used

for thatt one.I also must note that if we add the third person saying that they are all lying then the puzzle turns into a paradox.

*Last edited by anonimnystefy (2012-03-27 20:54:43)*

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi Stefy,

I first met that sequence in a advert for computer programmers. "If you can solve this, then you may have what it takes to become ......"

Someone had even written in the answer, and still I couldn't see it. It was years later that I found out why that answer was correct.

I think I need to re-do the liars puzzle completely. Sorry about that.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**wintersolstice****Real Member**- Registered: 2009-06-06
- Posts: 125

anonimnystefy wrote:

hi wintersoltice

have you solve any other problems?

yes I solved a few of them but instead of posting my answers I checked them against yours (I haven't solved all the ones that you solved yet!:D)

anonimnystefy wrote:

I also must note that if we add the third person saying that they are all lying then the puzzle turns into a paradox.

how come? plus I said 4th person:D

*Last edited by wintersolstice (2012-03-28 09:16:03)*

Why did the chicken cross the Mobius Band?

To get to the other ...um...!!!

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

Yes I meant fourth person.My mistake.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,354

hi wintersolstice and anonimnystefy

Did you mean:

A says None of us is lying. B says Only two of us are lying. C says Only one of us is lying. D says all of us are lying.

The truth table below shows there is no solution to this.

The middle code must have 84 characters if it is to work. A quick count suggests there are less. But some spaces are double. Your problem is to work out which.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,037

Yes that's what I meant.

Why did you make part 2 of puzzle #8 so hard?

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline