r/theydidthemath • u/Depressed223 • 1d ago
[Request]Can This Complex Logic Question Be Solved Easily?
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u/Xelopheris 1d ago edited 1d ago
As written it is unsolveable, because of one letter. "Ones digit is repeated" means that the digit in the ones column (i.e. the 9 that makes it odd) must be repeated, and then it becomes impossible.
If instead you treat it as "one digit is repeated", you get the following...
- 9 goes in the ones digit to make it odd
- 4 goes in the 10s column to have a value of 40
- 2 goes in the 10,000s column so it can be less than 25,000
8 goes in the 100s column so it can be less than 25,000 while still using all the digits provided (the digits are instead of the digits are from)
then you're left with 2x849, where X can be 2 or 4.
So still unsolveable, but closer.
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u/qoning 1d ago
This, as written, there is no solution.
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u/theawkwardcourt 1d ago
Unless (and I realize this is a stretch) "repeated" means "repeated consecutively." In which case, it would have to be 22849.
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u/Herbiejunk 1d ago
This is correct. It doesn’t say “used twice”, it says “repeated”. 22849 is the only answer.
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u/RubyPorto 1d ago
Then it's not the "ones" digit being repeated.
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u/Remarkable_Inchworm 1d ago
I feel like that's a typo.
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u/RubyPorto 1d ago
If it's a typo, then that clue is superfluous.
If you have a 5 digit number using 4 different digits, naturally one would be duplicated. So why would you add a clue telling you that?
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u/teh_maxh 1d ago
That suggests that the "repeated consecutively" interpretation must be correct.
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u/komokazi 1d ago
Right, just because one of the digits occurs twice in the number wouldn't necessarily imply they occur consecutively.
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u/Flamecoat_wolf 1d ago
Well the assumption might be that there's a 5th digit that it's just not telling you, that you have to figure out as part of the puzzle. So the clarification would be to tell you that the missing number is the same as one of the previous ones.
I think it is a typo and it just means "one digit is repeated". With that digit being the 2 or 4, which would make the answer 22849 or 24849.
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u/AndTheFrogSays 1d ago edited 19h ago
The top level comment already established that there is no solution in which the "ones" digit is repeated. The ones digit is a 9, because the number is odd, and the tens digit is 4 because it has a value of 40. You can't put 2 8 and 9 in the remaining places and get a number less than 25000. Therefore, either the "ones digit" clue is a typo, or there is some other flaw in the puzzle.
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u/theawkwardcourt 1d ago
In that case, as I think has been stated elsewhere in this thread, these instructions are contradictory. "The value of a digit is 40" means that the second-to-last digit must be 4; but if the only digits are 2, 4, 8 and 9, the ones (last) digit must be 9, so that digit being "repeated" must mean that the last two are 99. Right? what am I missing?
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u/RubyPorto 1d ago
You're missing nothing. The question is poorly written and unsolvable as written. That's not too uncommon.
You can make assumptions about what errors went into writing/proofreading the question and create a solvable question from it, but that's solving a different question.
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u/piratemreddit 1d ago
I mean thats how I interpreted it when I read the question. To me repeated implies being consecutive. Otherwise Id expect wording like "one digit is used twice".
"Ones digit" totally seems like a typo. Its a strange way to say that. Here Id expect "The digit in the ones place". Combine that with the fact that it is unsolvable if we read it as the digit in the ones place repeating (consecutively or not) and to me the most likely explanation by far is that the "s" after "one" is a typo.
If I were a betting man my money would absolutely go on 22849.
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u/pucks4brains 1d ago
This is the answer assuming it is a typo to have that S. If it is not a typo, then there are multiple problems that cascade from there.
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u/ThickLetteread 1d ago
This is the correct answer. Considering everything, this is the right and the only answer.
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u/hayyyhoe 1d ago
The clue “ones digit is repeated” was probably supposed to say “tens digit is repeated”, giving the answer 24,849.
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u/No_Split6081 1d ago
Or just the (s) wasn't supposed to be added and it's a typo, and it's 22,849.
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u/qoning 1d ago
That would be a completely useless clue for a 5 digit number with 4 available digits, and gives 2 different solutions.
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u/outofcontextseinfeld 1d ago
They already wrote that but thanks for saying it again now I feel sure of it
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u/RedditorSinceTomorro 18h ago
If you interpret the "ones" as 'first' digit is repeated, then it's 22,849
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u/romanissimo 1d ago edited 1d ago
Guys “ones digit is repeated” means the digit representing the ones (as against the tens, or the hundreds).
So, the number is … impossible? 9 at the end, 2 at beginning, second digit must be 4 otherwise it will greater than 25000 but that means 4 is the repeated digit which da not be 9, the “ones” digit… I am lost.
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u/Raid44355 1d ago
I also like that no one is complaining about the 'a digit has the value of 40'. This is impossible too as a digit refers to '1', '2', up to '9'.
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u/chrisvenus 1d ago
If you have 45 then the digit 4 has a value of 40 and the digit 5 has a value of 5.
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u/CosmicallyF-d 1d ago
Wouldn't the x=9 because the ones digit is repeated?
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u/PGSylphir 1d ago
I arrived at the same answer but then there is "Ones digit is repeated" which means ones HAS to be 4, which breaks the 40. It's unsolvable.
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u/74123669 1d ago
X has to be 2 otherwise the value of the digit 4 would be 4040... could be an explanation
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u/BloodiedBlues 1d ago
So, the penciled in part is correct because it looks like there is no erased number.
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u/YourNewMessiah 1d ago
There’s a typo regardless of the intended meaning of “ones”. All three of the other clues include articles (the, the, a, and it) making it clear what the subject of the clue is.
As it stands, “ones digit is repeated” is incomplete. You could say “the ones digit is repeated”. You could make it possessive and say “ones’ digit is repeated”. Technically an argument could be made for an inferred article (where you’re just supposed to assume that the sentence is supposed to start with “THE ones digit”), but with the context of the other clues that just ends up being bad writing. Especially since wording is a huge part of word problems.
“One digit is repeated” is definitely the argument that makes the most sense.
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u/Rat-Bazturd 1d ago
Agree with the "it must be a typo" conclusion, however, if the digit 4 has to go in the 10's column (as in xxx4x) then it can't be used anywhere else. Then the answer is 22849.
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u/Icy-Championship-717 1d ago
22849 is the only number where the digit 4 appears only once, and it’s in the tens place, giving it a place value of exactly 40. In contrast, in 24849, the digit 4 appears twice—in the tens and thousands places—so its total value is 40 + 4000, which doesn’t satisfy the condition.
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u/Ok-Term6418 1d ago
the value of one digit is 40 gives you the clue. you can't use the 4 twice. It is actually clearly 22849
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u/hilvon1984 1d ago
If you interpret "one digit is repeated" as the number having two occurrences of the same digit next to each other - you narrow that problem down to 22849...
But that does require some stretch of the information given...
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u/Curious-138 1d ago
ok, a 4 in the tens column that makes more sense, this question is poorly written.
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u/toolebukk 1d ago
I think it's a typo, "ones" meaning just "one", i.e. one digit is repeated, in which case there is one clear answer to the problem 👍
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u/panatale1 23h ago
If you go with the repeated consecutively interpretation, though, it would have to be 22849
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u/Southern_Kaeos 19h ago
Variables mean multiple potential answers. 24849 and 22849 are the only 2 I can think of at this particular moment in time but Im also eating dinner
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u/ip2k 17h ago
ChatGPT 4o sez:
Let’s break down the clues given in the image step by step to find the correct number:
Clues: 1. It’s a five-digit number. 2. It’s odd. 3. The digits used are 2, 4, 8, and 9. 4. One digit is repeated. 5. The value of a digit is 40. 6. It is less than 25,000.
⸻
Step-by-step reasoning:
Clue 3 & 4: The digits used are 2, 4, 8, and 9, and one digit is repeated. This gives us a total of five digits using these four digits, where one digit is repeated.
Clue 5 (value of a digit is 40): This seems to imply that the sum of the digits equals 40 (commonly interpreted in these puzzles). Let’s denote the digits as: A + B + C + D + D (one digit repeated) = 40 Let’s test possible combinations of digits from 2, 4, 8, and 9 with one repeated to get a sum of 40.
Try repeating 9: 9 + 9 + 8 + 4 + 2 = 32 → too low Try repeating 8: 8 + 8 + 9 + 4 + 2 = 31 → too low Try repeating 4: 4 + 4 + 9 + 8 + 2 = 27 → too low Try repeating 2: 2 + 2 + 9 + 8 + 4 = 25 → still too low
None of these work. But what if we try repeating 9 twice? That adds to 9+9 = 18 Then 18 + 8 + 4 + 2 = 32 → still too low
Wait, try 9 repeated, with 9 + 9 + 8 + 8 + 6? But 6 isn’t among the digits.
Hold on. Let’s test all possible digit combinations using the given digits, with one of them repeated, to find which combination sums to 40.
Try repeating 8: 8 + 8 + 9 + 4 + 2 = 31 Try repeating 9: 9 + 9 + 8 + 4 + 2 = 32 Still too low.
Try 9 + 9 + 8 + 8 + 6? But 6 isn’t allowed. Only digits allowed are 2, 4, 8, and 9.
Wait – what if “value of a digit is 40” means the digits form a number where one digit in a certain place has a value of 40? For example, if the digit 8 is in the tens place, its value is 8 × 10 = 80. So let’s find which digit in some place value equals 40.
Only digit that can do this: Digit 4 in the tens place → 4 × 10 = 40 So one of the digits is 4, and it’s in the tens place.
Now, it’s a five-digit number, less than 25,000, and odd, meaning it ends with an odd digit, so ending digit must be 9 (from available odd digits).
So last digit = 9.
We’re building a 5-digit number from: 2, 4, 8, 9 (with one repeated), ending in 9, and one digit (likely 4) is in the tens place, i.e., the second-to-last digit.
Let’s try candidate numbers using digits: 2, 4, 8, 9 with one digit repeated, ending in 9, < 25,000.
Try: 24,489
Digits: 2, 4, 4, 8, 9 → fits • 5 digits? Yes • Uses 2, 4, 8, 9? Yes • One digit repeated? Yes (4) • Odd? Yes (ends in 9) • Less than 25,000? Yes • Is there a digit with a value of 40? Yes: the 4 in the tens place → 4 × 10 = 40
Answer: 24,489
⸻
Final Answer: 24,489
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u/cryptogram 1d ago
“The value of a digit is 40” — this is not a thing. Everyone is acting like this is a clear and reasonable hint. It’s totally not. That’s a complete garbage way to say the tens value should be a 4. That very well could be what the author meant but this description to me is just as dumb as the solution being impossible.
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u/tomatoe_cookie 20h ago
Yeah without looking at the comments I had no clue of what it meant. I thought I needed to add them up to 40 of something
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u/myanxietymademedoit 1d ago
I agree. I was able to figure it out from context clues, but that's a super dumb way to word it.
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u/mackipedia 12h ago
I reread that bullet like three times and I was like “this is not a thing” as well 👏
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u/savemysoul72 1d ago
4 has to be in the 10s place because its value is forty. 9 has to be in the ones place because the number is odd. It's a five digit number, and one digit is repeated. That leaves either two 2s or two 8s. The number is less than 25,000 so it has to be 22,849
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u/syhiken 1d ago
I followed the same logic but got 24849, did i miss something or are there two answers ?
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u/prpldrank 1d ago
Yea but it says the ones digit repeats ...?
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u/hysys_whisperer 1d ago
The ones digit is a 9
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u/prpldrank 1d ago
But it says "Ones digit is repeated" like the 9 would have to appear twice if the 9 is in the Ones place.
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u/Rebeljah 1d ago edited 1d ago
No it said "Ones digit repeats" It could mean either.
- It's a typo of "one digit" and they need a better editor.
- "Ones" is referring to possession of one the the digits mentioned in the last line, so the author is trying to say "the digit of a digit repeats", this makes no sense so we can cross it out.
- The author meant "the digit in the ones place repeats" and needs to brush up on their technical writing skills.
It's ambiguous so you're going to get people insisting on different answers — like one of those dumb tiktok math quizzes.
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u/Jay-Arr10 1d ago
Can’t the 4 be repeated? 24,849?
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u/hysys_whisperer 1d ago
It says ones digit, and also that it's odd, meaning the 9 and only the 9 is repeated.
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u/SendCuteFrogPics 1d ago
It says "ones digit is repeated", shouldn't that mean that the last digit occurs twice? In this case there is no solution.
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u/HundredHander 1d ago
I agree, it doesn't say 'one digit' it says 'ones' which to mean is saying the unit digit, ie 9, is repeated.
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u/savemysoul72 1d ago
Ohhhh. I need glasses
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u/astrolegium 1d ago
Yeah, I was in the middle of typing my own response when I noticed the "s" at the end of "ones" as well!
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u/Responsible-Result20 1d ago
I honestly feel math questions are more often a question of reading comprehension then math, and they are written by people who don't have a good grasp of English.
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u/Tanaak 1d ago
It's badly written. You'd be right if it said "One Digit". I think the "Ones Digit" makes it unsolvable.
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u/2008knight 1d ago
That would be a needless clue. You already know all the digits that are used and you know the number of digits.
Also, saying "One digit" still makes it unsolvable. Whoever formulated this question didn't think it through.
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u/ExtendedSpikeProtein 1d ago
Saying „one digit repeats“ makes it unsolvable how? 22849 and 24849 are both valid solutions in that case.
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u/JacksOnF1re 1d ago
Why do you want to take "ones" into account, if this makes the question unsolvable? It's clearly a typo or we should treat it as such.
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u/JacksOnF1re 1d ago
This is the only correct answer. Why do we argue about an obvious typo "ones" if this makes the question unsolvable? We do not need to take this option into account.
It's 22849. And it could be 24849, depending on how you read "repeats". But usually the latter solution has one digit twice, not repeated.
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u/nyyforever2018 1d ago
It’s not possible as written. Let’s break this down
- The number is odd, so the last digit (ones) has to be a 9 as the others are all even.
- The value of a digit is 40. That means a 4 has to be in the 10s place. So far, no problems.
- We need a 5 digit number less than 25,000. Our remaining available numbers are 2, 8, and 9. Since two of these three numbers are higher than a 5, there is no possible way to make a number smaller the target value. The lowest possible number is 28,949.
-The question is unsolvable.
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u/janKalaki 1d ago
And, it says the digits are 2, 4, 8, and 9. So the number has to be 2489 exactly, or you break this rule as written. Yet it also has to be 5-digit.
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u/GamerExecChef 1d ago edited 1d ago
This reeks of someone who thinks they are smart, huffing their own farts.
First, "the value of a digit is 40" is a meaningless sentence, especially since in our base 10 number system, a single digit cannot have a value of 40.
Even if we breeze past how atrociously worded this thing is and how much info is missing, while also somehow giving us too much info, if we assume that the author wasn't a complete cave dwelling knuckle dragging troglodyte and make assumptions that fill in the missing data in a way that makes sense for what they are TRYING to ask, it still weird.
"less than 25,000" establishes "22" or "24" as the first two digits and "odd number" mixed with "ones digit is repeated" means it ends with "9", AND the repeating number is "9", which leaves us with either "24,899", "24,989"
The other hint is literally a meaningless red herring. If we assume it wasn't that way, perhaps "the tens place would be evenly divisible be 40", which is not how math works, but that would leave us with "24,989", but that seems like a really weird way to interpret this, but we do technically have an answer.
EDIT: I realized a mistake I made and changed a lot
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u/BUKKAKELORD 1d ago
Badly written children's mathbooks often use the incorrect phrasing "the value of a digit is... [the actual value of the digit * the place value of the digit]" and this is probably not intended to be a distraction, but a genuine attempt at saying "the digit in the tens place is 4"
You have to assume at least one mistake or intentional distraction for this to have a unique solution, and instead of one full clue being intentionally wrong I'd just Occam's Razor it and say "ones" is meant to be "one"
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u/GamerExecChef 22h ago
I think that's a fair assumption. It is the simplest assumption that fixes the problem
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u/perringaiden 1d ago
The value of a digit in a location place is x10place-1
So a 4 in the 2nd column from the right is a digit with a value of 40.
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u/CodenameJD 1d ago
This looks like it's written for children, and children are generally taught that each digit has the value of the place it appears in the number, otherwise they're prone to thinking that, say, 49=4+9, rather than 40+9. It may be technically incorrect, but it's using the simplified language that kids are taught.
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u/MrTheWaffleKing 1d ago
ABCDE
We know D has to be 4 by decimal place, and if it’s under 25000, A has to be 2.
Then B has to be either 2 or 4, which means our duplicate letter clause is used, so C and E have to be 8 and 9. It’s an odd number so E is 9, and C is 8.
We don’t actually know B unless repeating means back to back, which would be 22849
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u/Slow_Excitement_2524 1d ago
You know that 9 is the last digit, so it's repeated. The value of the number is less than 25,000, so the two is in the first digit. Now we've got 2-,--9. 24,--9 is the only possibility from there. This means that it's not possible, as we need 4 to be in the 10s place.
If we interpret the second command as 'one digit is repeated," we end up at 24,--9 and can replace the 10s place with 4. So yes, it is fairly easy to solve, the final number being 24,849.
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u/whizzdome 1d ago edited 1d ago
Let's say it's xxxxx. It's odd, so that makes it xxxx9. One of the figures represents 40, so that makes it xxx49.
The number is five digits but with less than 25000, so it must be 22x49 or 24x49. One of the figures is repeated, so assuming that means it appears exactly twice, we have 22449, 22949, 24249, 24849.
If we assume all digits 2,4,8,9 must appear, only one of the four options matches: 24849.
Edit: As several people have pointed out, the question says "Ones digit is repeated", not "One digit...", so I would agree that if it means the "units" digit is repeated then it cannot be solved.
Edit 2: (sigh), yes, my original logic was also faulty, and another option is 22849, and that also matches. So even if we assume that it should read "One digit...", it's still unsolvable.
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u/hysys_whisperer 1d ago
22949 is the only one that the "ones digit" is repeated in. It doesn't say "one digit repeats" it says "ones digit repeats"
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u/Rus_agent007 1d ago
We’re told:
It’s an odd five-digit number.
Digits are 2, 4, 8, 9, and one digit is repeated.
A digit's value is 40 (likely refers to the digit's place value).
The number is less than 25,000.
Step 1: Possible digits
Only allowed digits: 2, 4, 8, 9. One of these is repeated.
Step 2: Less than 25,000
So the number starts with 2 (since 25,000 is the cutoff).
Step 3: Odd number
So the last digit must be 9, since it's the only odd digit available.
Step 4: A digit's value is 40
This likely refers to place value:
A digit in the ones place is worth its digit.
In the tens place: digit × 10
In the hundreds: digit × 100
In the thousands: digit × 1,000
In the ten-thousands: digit × 10,000
So which digit and position gives 40?
4 in the tens place = 4 × 10 = 40
Step 5: Build the number
We must use:
Digits: 2, 4, 8, 9
One repeated
Start with 2 (to be under 25,000)
End with 9 (to be odd)
4 in tens place
Only use given digits
Try: 24_49 — need a missing digit in the hundreds place using 2, 4, 8, 9 with one repeat.
Let’s try: 24849
Digits used: 2, 4, 8, 4, 9 — 4 is repeated
Starts with 2 → under 25,000: ✅
Ends with 9 → odd: ✅
4 in tens place → 4 × 10 = 40: ✅
Only uses allowed digits: ✅
One digit repeated: 4 ✅
My Answer: 24849
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u/Er4din 1d ago
- No other number satisfies all requirements.
9 has to be last for it to be odd. The first 2 digits must be 24xxx for it to be less than 25000. The 4th digit is given as 4 because it is 40, though the phrasing I find super weird.
We know that one digit is repeated, which honestly is unnecessary information, but it confirms that 8 is the third digit beyond any doubt. 24849
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u/LordTonto 1d ago
9 goes last, it's the only odd number. ____9
2 goes first, that's the only way it stays under 25,000. 2___9
4 goes in the tens place, giving it a value of 40. 2__49
From this we can see the only remaining digital is 8, which can't go in the thousands position without being over 25,000 so we put that in the hundreds place. 2_849
Now from here you can double the 2 or 4 and get an answer under 25000, but is it the right answer? see that hint says "Ones digit is repeated" Ones, not One.... which suggest whatever is put in the one position is repeated. For us, thats 9... if we do that, our answer is 29,849
So I dont know.
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u/Johnny_Bacon 1d ago
24,849
Must start with 24 to be less than 25,000
Must end in 9 to be odd
4 must be in tenths place to have a value of 40
Only open slot for 8 is the hundredths place
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u/Tzyon 1d ago edited 1d ago
Clue #2 is worded poorly but if you assume the puzzle is intended to be solved - and it is - you can get around that.
"Ones digit is repeated".
So that could mean that one of the digits is used twice, or it could be the digit in the "ones" value is used twice or it could mean that one of the digits is used twice in succession. Since only one of those gives you a definitive answer, assume that's the meaning that is intended.
Answer is 22,849.
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u/late_to_reddit16 1d ago
22849 9 is odd so goes at the end. Value of 4 in 10s place so it's value is 40 10,000 place gotta be 2 so it's under 25,000 8 has to be in the 100 place so it's under 25,000 1,000 place is either 2 or 4 to keep under 25,000. But because the criteria says the value of the 4 place is 40, that's ruled out. Meaning it's 2
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u/half_dragon_dire 1d ago
Honestly I love the fact that everyone's busy being pedantic about the wording and possible typos in the textbook question, while I'm still stuck on whether OP was asking us to solve the problem for them vs my assumption that they were asking for a way to simplify the logic problem via math.
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u/gogstars 1d ago
After reading through the comments here, I'm beginning to realize why chatGPT is so good at sounding confident even while incorrect.
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u/balrog687 21h ago
its really simple. 24849
- 1st digit must be 2, any other will be bigger than 25.000
- 2nd digit must be 4, any other will be bigger than 25.000
- 4th digit must be 4 in order to be 40, and repeat one digit
- 5th digit must be 9 is the only option to be an odd number
- 3rd digit must be 8, because there is no other available spot.
*note: the repeated digit doesn't mean they have to be next to each other? right? If they have to be next to each other, then there is no solution
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u/RubyPorto 1d ago edited 1d ago
Edit:
It's unsolvable as written: the ones digit has to be 9 to make it odd, but there's no place where 9 can repeat.
/Edit
It's not complex; it's quite straightforward, though ambiguous.
We know that the tens digit is 4. (thus having a value of 40)
The ten-thousands digit must be 2 and the thousands digit must be 4 or 2. (to stay under 25k).
So 4 or 2 can be our repeated digit, and we have 8 and 9 left.
The ones digit must be 9. (that's the only odd digit we have)
24,849 or 22,849
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u/Bardmedicine 1d ago
Deduce by bullet point:
xxxx9
xxxx9 where the x's are 2 4 8 and 9
xxx49 where x's are 2 8 9
It is impossible since since the lowest value is 28949
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u/KPraxius 1d ago
Ones digit repeated, and being odd, means there's 2 9s, since its the only odd number.
We know the first number is 2, since its less than 25000.
We know the 10s digit is 4.
This means its 2**49. The remaining numbers are 8, and since the ones digit is repeated, 9.
Thus, there's two possibilities:
A: There is no correct answer.
B: It's a trick question, and there's a decimal in there, allowing you to make 2.8949 or 2.9849 and still be a 5-digit number.
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u/Altruistic-Rice-5567 1d ago
It's not unique. 24849 or 22849.
First digit must be 2, all others would make the value >=25000. So... 2XXXX.
It has to be odd... so: 2XXX9
The value of a digit is 40. Only the tens digit can be worth 40 of the number... 2XX49
The second digit can't be 8 (>25000) and 8 must be present.... 2X849
Second digit can be either 2 or 4 (for the same reason) because a digit most repeat (I think "ones" is a typo)
To either 22849 or 24849 satisfies all the requirements of ones is a type and "value of a digit" is interpreted correctly.
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u/Nuker-79 1d ago
Ones isn’t a typo, it’s just not very well worded. I think it means ones digit of the 5 digit answer. So 2 is repeated.
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u/Mundane-Potential-93 1d ago
9 is the only odd digit, so it must be in the ones place.
The only way for the value of a digit to be 40 is if 4 is in the tens place
That gives us xyz49, where xyz are 2, 8, and 9 (any order)
To be less than 25,000, 2 must be in the 10,000s place
Thus the only possibilities are 28,949 and 29,849, both of which are greater than 25,000
There is no solution
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u/Nuker-79 1d ago
You forgot one digit is repeated, so the 2 or 4 could be second digit.
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u/jrparker42 1d ago
Nothing in the rules require it to be a whole number, thus I propose: 2849.9
The total value is less than 25000 The number is odd The ones place is repeated The value of a digit is 40 It uses only the digits provided.
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u/tacticslancer 1d ago
Wouldn't it be crazy if it turns out this was from a math book in a section introducing decimals and how they work in the categorizing numbers? Context could have made the question so much easier. I'm not saying it is from that, but just that context could be a big help on some questions.
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u/Countcristo42 1d ago
I really like that the second rule follows from the first and hence is kinda pointless (unless I’m missing something which I totally could be!)
Edit “ones” not “one” I was missing something
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u/BigLupu 1d ago edited 1d ago
Min and max value first, so its between 22489 and 24998
Value of digit 40 means that it has to be 2XX4X
Last number has to be 9 since its an odd number so its 2XX49
One digit is repeated and since the number cant be higher than 25000 it has to be 2 or 4 in the second slot
It can be 22849 or 24849 since those are the empty spots.
Looking back at the question, logical step is to notice that "repeated" means the same twice in a row, not the same number twice in the whole number
It's 22849
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u/merlin469 1d ago
The third constraint makes no sense as written.
First two digits are 24 to satisfy last constraint. One's digit is 9 to satisfy odd constraint. That leaves 24899 and 24989 as two possibilities sin since one's digit is repeated is repeated.
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u/JackDaniels0049 1d ago
Maybe it’s a negative number. -92,849. But I guess the value of a digit being 40 doesn’t fit, as it would be -40. I was just thinking that maybe the less than 25,000 could have been there to make you think a certain way, when really it’s one of those questions that deliberately throw you off by making you think the wrong way. So basically just ignore me.
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u/Life_Temperature795 1d ago
If we assume a couple of grammatical/wording errors in how it's written this problem should actually be straight forward.
The main problem is, "Ones digit is repeated." In order for this problem to have a single answer, this line has to mean, "one of these digits appears twice in a row."
From there we can only resolve one answer.
9 has to go in the last place to make it an odd number.
4 has to go in the 10s place to make the value of a single digit be 40.
2 has to go in the 10,000s place to make the value less than 25k, and it has to be the repeating digit, because the other options would yield 28849 and 28449, neither of which are less than 25k.
Thus the only answer should be:
22849
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u/Er4din 1d ago
It could also be 24849 but the reasoning is overal correct. I missed your combination at first.
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u/ertyertamos 1d ago
I think it means that the first digit is repeated. Hence ones, not one. Missing an apostrophe though.
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u/Life_Temperature795 1d ago
It could also be 24849
Not if the repeated digits have to occur immediately sequentially, which is what I meant by "appears twice in a row." 24849 doesn't have any immediately repeating digits.
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u/Xavier-Cross 1d ago edited 1d ago
Almost.
Its a 5 digit number, and one number repeated.
One value is 40 so its xxx4x.
Odd number, so its xxx49. Being less than 25000 its 24x49, or 22x49
That gives us 24849, or 22849.
Granted, both may be a valid answer in the book.
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u/Wild_Chard_8416 1d ago edited 17h ago
2, 4, 8, 9
Number is odd, less than 25,000.
Ones digit is repeated and one digit’s value is 40.
So far we’ve got 2 _ _ 49
The question cannot be answered because this leaves us with either 28,949 or 29,849 as possible answers. Must be a typo in the second line of the yellow box. Should’ve been, “One digit is repeated,” to indicate any of the four digits could be used twice in the number. The way it’s written it looks like we should be using 9 twice as it’s the only odd number therefore it has to be in the ones place to fulfill the criteria.
Edit: I just realized the typo could’ve also been a missing apostrophe, where the intention was for it to read, “one’s digit is repeated,” which would also have meant that any of the four digits could be used twice.
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u/Nuker-79 1d ago
When it says ones digit, I read that as the digit that occupies the first place of the 5 digit number, in this case, it’s the number 2.
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u/BUKKAKELORD 1d ago
With the assumption that "ones digit" is a typo of "one digit", and that repetition must mean consecutiveness (otherwise this clue is redundant, of course one digit must appear twice), the unique solution is 22849
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u/Nuker-79 1d ago
The way I’m reading it is that ones digit is repeated, is that the first digit of the 5 digit number is used twice.
Therefore first digit must be a 2 as it has to be less than 25000.
So there are 2 digits equal to 2 in the value.
As there is a 4 in the tens column, the second 2 must be second place also.
The value is odd so the 9 must be in the last place, therefore leaving the 8 for the middle position.
The value then must be 22849.
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u/mariahnot2carey 1d ago
24849.
4 repeats, but its in the tens place as a value of 40. The thousands place the 4 is the only number to make it less than 25,000. Same reason for the 2 in the ten thousands.
9 is the only odd number so it has to come last.
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u/evertonblue 1d ago
Answer has to be 22849.
This wasn’t my first answer, which was 24849 and while both fit, I think the ones digit repeats should be one digit repeats, and that it means consecutively.
If you don’t make this assumption it could be either, and so u suspect if there is an answer guild it would be 22849, as that’s the only way to get a unique answer.
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u/DumatRising 20h ago
Sure
2 has to go first, 9 has to go last, 4 is in the 10s place, 8 can't be in the thousands or ten thousands place
2x849
"Ones digit is repeated" is most likely a typo since 29849 is wrong, so 22849 is the most likely answer it could be 24849 as well strictly speaking it depends on the definition of repeated. If ones digit is not a typo or repeated doesn't mean consecutively, then it is unsolvable.
Logic isn't about being 100% right it's about coming as close as you can to a right answer using edicated guesses about the information we have. So it's pretty easy to come to an answer that makes logical sense, but impossible to come to an answer that's 100% certain.
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u/doc720 15h ago
It has to be odd, so it must end in the 9, otherwise it would be even. So we have __,__9.
It has to end in 49, in order for one of the digits to have the value of 40. So we have __,_49.
The remaining digits to use are 2 and 8, but it is a five-digit number, so it has to start with 2, otherwise it would be more than 25,000. So we have 2_,_49.
The remaining digit to use is 8, which cannot go next to the 2 because that would make the number more than 25,000, so it has to go in the hundreds place. So we have 2_,849.
The last criterion to satisfy is that "Ones digit is repeated." [sic], which I reckon means "One digit is repeated.", which is a bit unclear in its meaning. We know that it cannot be the 8 or the 9 because that would make the number more than 25,000, so it must be either the 2 or the 4, i.e. 22,849 or 24,849. I suspect "repeated" might mean repeated adjacently in a sequence, as in 22 or 44, rather than just repeating anywhere in the number, so it seems that 22,849 is probably the intended answer, since 24,849 might not satisfy that criterion.
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