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Stephen Buxton
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(I've been away for a while. However, I'm back, and I have some new puzzles)

pause for groans

Please can you give me a statement that is always true for digits 4 and 5, sometimes true for 6 and never true for any other digit.

You may use a calculator, for once you know the statement, you will be able to prove that 1 plus 1 equals 4
If you put an infinite number of apes in front of an infinite number of computers, you get a pretty good idea of what internet chat rooms can be like
TomasB
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I know that you wrote that it isn't true for any other digits. Could it still be true sometimes for 9?

/Tomas
Stephen Buxton
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No
If you put an infinite number of apes in front of an infinite number of computers, you get a pretty good idea of what internet chat rooms can be like
dlhoyt
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The number of segments in a calculator display for digits 4, 5, and 6 is 4, 5, and 6, respectively. This is true of no other digits, as this table shows:

digit -- no. segments
1 -- 2
2 -- 5
3 -- 5
4 -- 4
5 -- 5
6 -- 6
7 -- 4
8 -- 7
9 -- 6
0 -- 6

Thus 1 (two segments) + 1 (two segments) = 4 segments

Dale
TomasB
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Very good idea, Dale, so your statement would be...?

Also, I have never seen a calculator where 6 doesn't have 6 segments, but it could be plausable that such exist with only 5 segments making the statement sometimes true for 6.

/Tomas
magicjohn2278
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(I got it straight away - I like it when the clue is in the question!)

"The digits on a seven segment calculator display are made up of the same number of segments as the number they represent."
Steve Martin
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Hmmm...

Well, the above statement is false, full stop!

A more accurate version of the phrase, in answer to the question, is:

"This digit can be represented on a seven-segment calculator display, using a number of segments that is equal to the digit itself".

But I am being slightly pedantic Smile
Any man who reads too much and uses his own brain too little falls into lazy habits of thinking.
Albert Einstein
magicjohn2278
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... just being pedantic back.....!

That statement is ALWAYS true for 6!
Steve Martin
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You are right. So...

"When this digit is represented on a given seven-segment calculator display, the number of segments used is equal to the value of the digit itself".
Any man who reads too much and uses his own brain too little falls into lazy habits of thinking.
Albert Einstein
stanalger
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Welcome back, Stephen!

I'm looking forward to your latest creations.
Stephen Buxton
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Thanks guys!

Yes, sounds like you have the right answer. It is sometimes true for 6 because there are a few calculators that display six without the "cap" on top:

|_
|_|

although most do look like this:

_
|_
|_|

I have another puzzle for you good people - I'll be back in a bit
If you put an infinite number of apes in front of an infinite number of computers, you get a pretty good idea of what internet chat rooms can be like
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