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It's almost trivial, but you need to realize that you've been told that all
the labels are wrong - not that they might be wrong, but that they are.

Take from the box labeled as mixed. It is actually only the kind you pulled out.
The box labeled as the other kind must be the mixed box.
The third box, labeled as the kind you pulled out, is the box of the other kind.

Author Topic: Riddles!  (Read 163407 times)

Offline yuneeq

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Re: Riddles!
« Reply #840 on: July 31, 2023, 07:38:53 PM »
I gave you the mathematical answer

You repeated my question in different words. Same = no difference.
The answer(s) can be found here - https://en.wikipedia.org/wiki/0.999...

The algebraic solution is simple enough



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Re: Riddles!
« Reply #841 on: July 31, 2023, 08:04:24 PM »
Math is wrong in this case.

There is not getting around it. 0.9999999 is most definitely not equal to 1. Any equation that proves it is inherently flawed.

Offline yungermanchik

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Re: Riddles!
« Reply #842 on: July 31, 2023, 08:08:13 PM »
. 0.9999999 is most definitely not equal to 1.
correct because there is an absolute difference of 0.0000001 but 0.99999..... is equal to 1 because there is no definable difference.
Small people talk about other people.
Average people talk about things
BIG PEOPLE TALK ABOUT IDEAS.

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Re: Riddles!
« Reply #843 on: July 31, 2023, 08:10:01 PM »
correct because there is an absolute difference of 0.0000001 but 0.99999..... is equal to 1 because there is no definable difference.
So identical twins are one person because you can't tell them apart, right?

Offline yos9694

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Re: Riddles!
« Reply #844 on: July 31, 2023, 09:16:32 PM »
Math is wrong in this case.

There is not getting around it. 0.9999999 is most definitely not equal to 1. Any equation that proves it is inherently flawed.

The difference is your chance of winning the Mega Millions.

Which is why some people are in the pool and others are not

Offline aygart

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Re: Riddles!
« Reply #845 on: July 31, 2023, 09:37:18 PM »
The difference is your chance of winning the Mega Millions.

Which is why some people are in the pool and others are not

Nope that chance is small but exists.
Feelings don't care about your facts

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Re: Riddles!
« Reply #846 on: November 30, 2023, 05:26:31 PM »
So I bought the brain teaser book that JJ posted on DDMS and I'm enjoying it. But I just came across one that is really irking me. It's not the riddle that's bothering me, but the explanation that the author gives for the solution.

The riddle is #41 (Which is in difficulty level 2 of 5). The riddle is pretty straightforward, and I quote: "What digit between 1 and 1,000 (inclusive) is the most frequent?"

I'm going to hide the answer (click "quote" on this post to view it) in case anyone wants to think about it first.

This is the answer as quoted in the answer section of the book: "1. The digit occurs once in each of the numbers from 11 to 19, and also in every subsequent set - 21,22...;31,32... . Logically, it appears more than any other number."

This is really puzzling, and has nothing to do with the answer. I believe the answer should read as follows: "1. All numbers (besides 0) appear an identical number of times. However, since the range includes the number 1,000, that gives 1 an added appearance, and thus 1 is the most frequent digit."


Am I missing something?

Offline yungermanchik

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Re: Riddles!
« Reply #847 on: November 30, 2023, 07:28:02 PM »
So I bought the brain teaser book that JJ posted on DDMS and I'm enjoying it. But I just came across one that is really irking me. It's not the riddle that's bothering me, but the explanation that the author gives for the solution.

The riddle is #41 (Which is in difficulty level 2 of 5). The riddle is pretty straightforward, and I quote: "What digit between 1 and 1,000 (inclusive) is the most frequent?"

I'm going to hide the answer (click "quote" on this post to view it) in case anyone wants to think about it first.
   



Am I missing something?
Agreed!
Small people talk about other people.
Average people talk about things
BIG PEOPLE TALK ABOUT IDEAS.

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Re: Riddles!
« Reply #848 on: November 30, 2023, 11:27:08 PM »
So I bought the brain teaser book that JJ posted on DDMS and I'm enjoying it. But I just came across one that is really irking me. It's not the riddle that's bothering me, but the explanation that the author gives for the solution.

The riddle is #41 (Which is in difficulty level 2 of 5). The riddle is pretty straightforward, and I quote: "What digit between 1 and 1,000 (inclusive) is the most frequent?"

I'm going to hide the answer (click "quote" on this post to view it) in case anyone wants to think about it first.

This is the answer as quoted in the answer section of the book: "1. The digit occurs once in each of the numbers from 11 to 19, and also in every subsequent set - 21,22...;31,32... . Logically, it appears more than any other number."

This is really puzzling, and has nothing to do with the answer. I believe the answer should read as follows: "1. All numbers (besides 0) appear an identical number of times. However, since the range includes the number 1,000, that gives 1 an added appearance, and thus 1 is the most frequent digit."


Am I missing something?
Thought so too but wanted to double check so I wrote a quick and dirty little calculator (JavaScript below, hopefully I didn't make an error). This was the results

Going until 1000
zero:192
one:301
two:300
three:300
four:300
five:300
six:300
seven:300
eight:300
nine:300

Going until 999
zero:189
one:300
two:300
three:300
four:300
five:300
six:300
seven:300
eight:300
nine:300

Code: [Select]

(function () {

    function getStats(n) {
        let numbers = [];
        let zero = 0, one = 0, two = 0, three = 0, four = 0, five = 0, six = 0, seven = 0, eight = 0, nine = 0;
        let i = 1;
        while (i <= n) {
            numbers.push(i);
            i++;
        }
        let sorted = numbers.join('').split('').sort();

        sorted.forEach(number => {
            if (number == '0') zero++;
            if (number == '1') one++;
            if (number == '2') two++;
            if (number == '3') three++;
            if (number == '4') four++;
            if (number == '5') five++;
            if (number == '6') six++;
            if (number == '7') seven++;
            if (number == '8') eight++;
            if (number == '9') nine++;
        });
        console.log(`Going until ${n}\nzero:${zero}\none:${one}\ntwo:${two}\nthree:${three}\nfour:${four}\nfive:${five}\nsix:${six}\nseven:${seven}\neight:${eight}\nnine:${nine}`);
    }

    getStats(1000);
    getStats(999);

})();

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Re: Riddles!
« Reply #849 on: November 30, 2023, 11:35:03 PM »
Thought so too but wanted to double check so I wrote a quick and dirty little calculator (JavaScript below, hopefully I didn't make an error). This was the results

Going until 1000
zero:192
one:301
two:300
three:300
four:300
five:300
six:300
seven:300
eight:300
nine:300

Going until 999
zero:189
one:300
two:300
three:300
four:300
five:300
six:300
seven:300
eight:300
nine:300

Code: [Select]

(function () {

    function getStats(n) {
        let numbers = [];
        let zero = 0, one = 0, two = 0, three = 0, four = 0, five = 0, six = 0, seven = 0, eight = 0, nine = 0;
        let i = 1;
        while (i <= n) {
            numbers.push(i);
            i++;
        }
        let sorted = numbers.join('').split('').sort();

        sorted.forEach(number => {
            if (number == '0') zero++;
            if (number == '1') one++;
            if (number == '2') two++;
            if (number == '3') three++;
            if (number == '4') four++;
            if (number == '5') five++;
            if (number == '6') six++;
            if (number == '7') seven++;
            if (number == '8') eight++;
            if (number == '9') nine++;
        });
        console.log(`Going until ${n}\nzero:${zero}\none:${one}\ntwo:${two}\nthree:${three}\nfour:${four}\nfive:${five}\nsix:${six}\nseven:${seven}\neight:${eight}\nnine:${nine}`);
    }

    getStats(1000);
    getStats(999);

})();
Thanks! So basically, I'm right. And I'm really puzzled how an author of a brain teaser book, who is also a professor who lectures on the subject, can miss such a basic understanding in this.

I have no idea how to decode your calculator, but I just tested it by generating the numbers 1-1000 in Excel, then pasting it to Word, then searching the document for each digit and seeing how many results come up. (searching in Excel only shows how many cells contain the result, but it won't show more results for a cell that contains more than one of the digit.)

ETA: My initial answer strategy was based on simple logic. Zero has less, because it can never be a leading number. But the others should be uniform, until 999.

Offline Euclid

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Re: Riddles!
« Reply #850 on: December 01, 2023, 12:18:57 AM »

So I bought the brain teaser book that JJ posted on DDMS and I'm enjoying it. But I just came across one that is really irking me. It's not the riddle that's bothering me, but the explanation that the author gives for the solution.

The riddle is #41 (Which is in difficulty level 2 of 5). The riddle is pretty straightforward, and I quote: "What digit between 1 and 1,000 (inclusive) is the most frequent?"

I'm going to hide the answer (click "quote" on this post to view it) in case anyone wants to think about it first.

This is the answer as quoted in the answer section of the book: "1. The digit occurs once in each of the numbers from 11 to 19, and also in every subsequent set - 21,22...;31,32... . Logically, it appears more than any other number."

This is really puzzling, and has nothing to do with the answer. I believe the answer should read as follows: "1. All numbers (besides 0) appear an identical number of times. However, since the range includes the number 1,000, that gives 1 an added appearance, and thus 1 is the most frequent digit."


Am I missing something?


Please pardon me, but I'm going to learn this up like a would, l'havdil, a rishon:
Quote

"1. The digit occurs once in each of the numbers from 11 to 19, and also in every subsequent set - 21,22...;31,32... . Logically, it appears more than any other number."
I havent read the book, but I'm guess that it isn't a book of math questions; rather, it's a book of logic questions.
And he doesnt say: "Therefore, it appears more than any other number." or "Mathematically, it appears more than any other number.". He specifically calls out that he's using logic to deduce this. The logic and intuition is correct: 1 is the leading digit for the start of each place group (ones (!), tens, hundreds, thousands), as can be seen from the numbers 11-19 (tens group) - (while still being included in the ones place for the tens group).

ETA: The 125 Best Brain Teasers Of All Time: A Mind-Blowing Challenge Of Math, Logic, And Wordplay Book

lol, or not
« Last Edit: December 01, 2023, 12:24:14 AM by Euclid »

Offline smurf

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Re: Riddles!
« Reply #851 on: December 01, 2023, 12:29:00 AM »

Please pardon me, but I'm going to learn this up like a would, l'havdil, a rishon:
I havent read the book, but I'm guess that it isn't a book of math questions; rather, it's a book of logic questions.
And he doesnt say: "Therefore, it appears more than any other number." or "Mathematically, it appears more than any other number.". He specifically calls out that he's using logic to deduce this. The logic and intuition is correct: 1 is the leading digit for the start of each place group (ones (!), tens, hundreds, thousands), as can be seen from the numbers 11-19 (tens group) - (while still being included in the ones place for the tens group).

ETA: The 125 Best Brain Teasers Of All Time: A Mind-Blowing Challenge Of Math, Logic, And Wordplay Book

lol, or not
I don't get that logic at all.
by the same token, 2 appears in each of the numbers from 20-29 and in 12,32,42.....

Offline Euclid

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Re: Riddles!
« Reply #852 on: December 01, 2023, 12:34:47 AM »
I don't get that logic at all.
by the same token, 2 appears in each of the numbers from 20-29 and in 12,32,42.....
The logic is that it's the leading i.e. first (no pun intended, but yeah) number of each new place group (1, 10, 100, 1000). I agree I'm learning it into his words, and he doesnt stress this point - which is the main detail.

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Re: Riddles!
« Reply #853 on: December 01, 2023, 11:18:42 AM »
You repeated my question in different words. Same = no difference.
The answer(s) can be found here - https://en.wikipedia.org/wiki/0.999...

The algebraic solution is simple enough




If the last digit of x is 9, the value of 10x will end with a 0. (Actually, anything multiplied by ten will end with a 0.)
^^^

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Re: Riddles!
« Reply #854 on: December 01, 2023, 11:25:16 AM »

Please pardon me, but I'm going to learn this up like a would, l'havdil, a rishon:
I havent read the book, but I'm guess that it isn't a book of math questions; rather, it's a book of logic questions.
And he doesnt say: "Therefore, it appears more than any other number." or "Mathematically, it appears more than any other number.". He specifically calls out that he's using logic to deduce this. The logic and intuition is correct: 1 is the leading digit for the start of each place group (ones (!), tens, hundreds, thousands), as can be seen from the numbers 11-19 (tens group) - (while still being included in the ones place for the tens group).

ETA: The 125 Best Brain Teasers Of All Time: A Mind-Blowing Challenge Of Math, Logic, And Wordplay Book

lol, or not

Math and logic are one and the same.
Feelings don't care about your facts

Offline yuneeq

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Re: Riddles!
« Reply #855 on: December 01, 2023, 01:39:02 PM »
Math and logic are one and the same.

Depends on who you ask

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Re: Riddles!
« Reply #856 on: December 01, 2023, 02:00:41 PM »
Depends on who you ask


where's the dislike button?
Workflowy. You won't know what you're missing until you try it.

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Re: Riddles!
« Reply #857 on: December 01, 2023, 02:54:47 PM »

Offline Yehudaa

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Re: Riddles!
« Reply #858 on: March 22, 2024, 09:36:43 AM »
In which country was this photo taken?



(Bonus points if you saw this in the same place as I did this morning.)

Offline Dawie

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Re: Riddles!
« Reply #859 on: March 22, 2024, 10:19:40 AM »
In which country was this photo taken?



(Bonus points if you saw this in the same place as I did this morning.)
@Yehuda57 maybe post a picture of the CN tower and ask him if he knows where it is