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This is a Self-Referential Aptitude Test, developed by James Propp, at UMass-Lowell.

Each question refers to one or more answers on a different question. You should open a separate document to take notes on your process of elimination. Consider not starting the quiz until you have all of the answers.

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Featured Quiz

Last updated: November 11, 2023

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First submitted | March 1, 2019 |

Times taken | 15,390 |

Average score | 30.0% |

Rating | 5.00 |

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1.
The first question whose answer is B is question

A) 1
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B) 2
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C) 3
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D) 4
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E) 5
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2.
The only two consecutive questions with identical answers are questions

A) 6 and 7
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B) 7 and 8
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C) 8 and 9
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D) 9 and 10
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E) 10 and 11
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3.
The number of questions with the answer E is

A) 0
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B) 1
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C) 2
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D) 3
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E) 4
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4.
The number of questions with the answer A is

A) 4
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B) 5
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C) 6
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D) 7
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E) 8
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5.
The answer to this question is the same as the answer to question

A) 1
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B) 2
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C) 3
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D) 4
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E) 5
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6.
The answer to question 17 is

A) C
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B) D
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C) E
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D) none of the above
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E) all of the above
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7.
Alphabetically, the answer to this question and the answer to the following question are

A) 4 apart
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B) 3 apart
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C) 2 apart
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D) 1 apart
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E) the same
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8.
The number of questions whose answers are vowels is

A) 4
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B) 5
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C) 6
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D) 7
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E) 8
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9.
The next question with the same answer as this one is question

A) 10
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B) 11
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C) 12
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D) 13
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E) 14
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10.
The answer to question 16 is

A) D
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B) A
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C) E
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D) B
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E) C
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11.
The number of questions preceding this one with the answer B is

A) 0
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B) 1
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C) 2
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D) 3
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E) 4
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12.
The number of questions whose answer is a consonant is

A) an even number
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B) an odd number
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C) a perfect square
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D) a prime
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E) divisible by 5
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13.
The only odd-numbered problem with answer A is

A) 9
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B) 11
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C) 13
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D) 15
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E) 17
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14.
The number of questions with answer D is

A) 6
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B) 7
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C) 8
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D) 9
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E) 10
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15.
The answer to question 12 is

A) A
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B) B
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C) C
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D) D
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E) E
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16.
The answer to question 10 is

A) D
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B) C
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C) B
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D) A
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E) E
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17.
The answer to question 6 is

A) C
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B) D
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C) E
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D) none of the above
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E) all of the above
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18.
The number of questions with answer A equals the number of questions with answer

A) B
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B) C
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C) D
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D) E
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E) none of the above
**✓**

19.
The answer to this question is:

A) A
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B) B
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C) C
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D) D
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E) E
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20.
"JetPunk" begins with

A) K
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B) P
**✓**

C) 7
**✓**

D) Q
**✓**

E) J
**✓**

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This comment contains hints. Select to see them (not sure about mobile).These are not comprehensive.

#5 and #20 can each be answered without looking at any other question

Looking at #10 and #16 will give you the answers to both.

Looking at #6 and #17 will allow you to eliminate answers from each. #2 will clarify them.

Reading #7 will eliminate answers from #8. I am not saying you will be able to answer #7.

Use #3, #4 and #8, together.

Those will also help you answer #12, #15, and #13.

Knowing #13, allows you to eliminate answers from several questions.

#2 is your friend. Consider its implications to will help you eliminate answers on many questions .

You know how many questions are on the quiz, and which ones are vowels or consonants.

I probably will put together a comprehensive solution and post it on reddit.

I just read the hints, and I can't agree, in fact Q5 was one of the last ones I could answer, same qith Q7 & Q8

Sorry if it didn't help.

Solve the Questions that are opposites, or have an easy to determine answer first i.e, 20, 10,16,17,6,5.

Make Assumptions and eliminate that way.

KEEP TRACK OF THE NUMBER OF EACH ANSWER YOU HAVE!!!

Then as I entered in the answers, I read them aloud and rolled my eyes! Lol.

Well done!!

My favorite part was when the lightbulb went off for me on Question 12 and I realized it had to be A. Based on question 8, the total number of consonant answers had to be 12, 13, 14, 15, or 16.

If it was 13, it would be a prime number, but also an odd number. Can't be two valid answers.

If it was 15, it would be divisible by 5, but also an odd number.

If it was 16, it would be a perfect square, but also an even number.

So it had to be 12, or 14, meaning A (even) was the correct answer over B (odd).

So simple but so deceiving if you don't really examine it!

Once I had all the answers I started the time, which is why technically it took me less than two minutes.

PS

The second hint (about question #8) is very tricky, I had to ignore it to end up giving all the right answers.

Maybe it would make more sense for you to help me understand your conclusions (which you are obviously attempting) and then I can move you toward or away from certain ideas. And on the questions you're mentioning, maybe say what you've eliminated. There is as much value sometimes in determining which answers can't be true as in which must be true. I will see what I can come up with based on what you said, so far.

WT2008: Shouldn't the answer to question 9 be "A", since the answer to question 10 is "A"?damoz7: which isn't the same as the answer to question 9Based on your questions so far, I am not clear on how you became certain of the answer to #9. What leads you (WT2008) to the conclusion that it should (or should not) match #10, or (damoz7) that it should (or should not) match #13? These are both rhetorical (encouraging to work these out) and actual (help me understand your logic).

Is there something we're missing in that logic?

Now I'm with you.

Therefore, an answer of A for question 9 is trueI would say that, at that point in the puzzle, an answer of A for question 9

still couldbe true, because #10 is A and you can't rule it out. Because #9 also has "D) 13" as a choice, and #13 is D, you can't rule that out either. Likewise, if B as not been eliminated from #11 on your board, or C from #12, or E from #14, those could be the next ones with the same answer.The next question (after question 9) with the same answer as question 9 is question 10.Or, to put it another way, the next question (after question 9) with the same

potentialanswer as question 9 is question 10. But you don't yet know the answer to #9.If this doesn't make a lightbulb go off, I would suggest looking at the relationship between #12, #13, and #15. And to get #12, #8 will help, if you have been able to eliminate things from there.

I still think that since both A and D could be true for Q9, the wording of Q9, in particular the word 'next', logically should make its answer A.

Great quiz though, don't get me wrong.

onlytwo" as "Thefirsttwo". Otherwise I would have got it all correct and it'd be much simpler to solve.By the way I disagree with the first hint: how do you know for sure the answer to number 5?! I don't think you can assume it's E because for example question 19 has 5 correct answers (but of course only one fits with all other clues) so similarly question 5 has E as an obviously correct answer but it doesn't mean it's the one you have to select.

E must always be true to question #5 because #5 has the same answer as #5. Each question only has one answer, so that renders A thru D untrue. Therefore, we gain the additional insight that questions #1 - #4 cannot be E (otherwise, again, there would be more than one answer to #5).

Conversely, the options for Q19 are mutually exclusive - if A were correct, then B-D would be incorrect, and so on. Q19 does not have "five correct answers" - rather, all of Q19's five options look like they *might be correct*, and none can be ruled out until one proceeds through the quiz (and, in my case, it was the final answer that I worked out).

Starting from that point it is still possible to progress through the quiz and get most of the answers right, but a few problems ultimately come through at the end. Sort of ruined it for me.

"Same as" does not equal "is". That is bad logic!

Funny thing, though, I forgot to put most of the answers after solving it on a piece of paper...

The answers to all of those questions are B and D (except one, which is closely related), so it all revolves around an interpretation of questions 6 and 17. Unless I'm missing something, I'm pretty sure that you can reverse the answers to 6 and 17 and it still works, but it thereby forces you to change the answers to 3, 7, 11, and 19 to fit the new patterns.

In other words, is it possible that there are 2 unique sets of correct answers to this quiz?

It took me around 1 hour and a half while writing all the process.

The quiz was really hard. I cheated a bit on second try as I did know what the right answers of the first two questions were.

If you take their test, they don't actually give you a score, just whether you get in or not.

regarding the 4 that I got wrong:

Questions 6 and 17 are identical; therefore their answers can be swapped.

6 Ans: D --> B

17 Ans: B --> D

Changing 6 to a B, would change 7 from a D to a B per question 2.

7 Ans: D --> B

And having two more B's prior to 11 would change 11's answer from a B to a D

11 Ans: B --> D

The above gives an even swap of B's for D's, so everything else seems to even out.

Other than the above, my only other hang up is the use of the word "next" in question 9.

6) B

7) B

11) D

17) D

and rest 16 options were same.

This is also working fine without violating any other question.

Correct me if I am wrong.

You've made your answer to 17 D, which means 16 and 17 are consecutive questions with identical answers, which violates question 2, which you said only 6 and 7 have consecutive identical answers

I would amend the instructions, though. They say that each question refers to one or more answers on a different question. Question #20 is referred to by other question(s) but does not refer to any other questions.

One is that if I'm not mistaken, the answer to 6 and 17 could be interchangable and:

1. If B is selected for 6, 17 would be D, and then answer to 7 which is open-ended could also be decided as B, then the answer to 11 would be D.

2. If D is selected for 6, then then 17 would be B, then the answer to 7 which is open-ended could be decided as D, then the answer is 11 would be B.

Looks like depending on which answer is selected for 6-17 pair, the final results could change without changing the rest. Looks like the solution is not unique and both these combinations are possible.

Also, the answer to question 9 is really weird. The only way to solve this is based on answer being D, but technically A is also correct, right? I mean both 9 and 10 can have A as the answer!!

If somehow these two are addressed (or someone explains to me where I went wrong) this would be the best test on Jetpunk! :)

Although I found peculiar Q7 and Q8, maybe I have misunderstood something here, but ...

Since the answer for 8 is E shouldn't be all the answers in Q7 correct?

It could be 7-A 8-E (four apart), 7-B 8-E (three apart), 7-C 8-E (two apart), 7-D 8-E (one apart), 7-E 8-E (the same). So the answer for 7 should be all of the above or something.

Why is 7 D then? Only to fit to the other numbers?

Come on.

First attempt: 14/20

Second attempt: 19/20

Thrid attempt: 20/20

Only took it just now, didn't realize how fun of a 40 minutes that would be.

I got 19/20 cause I apparently can't count, but it was amazing, nonetheless!

I'm a little bitter though since I only missed #11 which threw me off when finding #14/#18/#19. I ended up using deductive reasoning to get them right anyhow, but I only got 19/20... I'm not redoing the quiz for getting a score that's 1 higher, though.

Very well done, but I can't nominate it ;)

https://www.jetpunk.com/user-quizzes/1306568/the-impossible-logic-quiz

Got it right on my second try, figuring out my solution could not work after 30 min on my first attempt must have been one of the most frustrating moments of my life :-)

"This is a Self-Referential Aptitude Test, developed by James Propp, at UMass-Lowell."I don't believe the source describes his process, but I wonder if an internet search might uncover it.

I dig it.

I think the logic for #9 on pass three is sus -- "meaning the answer to question 11 couldn't be B". We know it is because we know the answer, but why, at the point, couldn't 11 not being B be valid? Tell me if you disagree.

The idea is to read the questions and determine what conclusions you can draw about each one. As you are able to draw conclusions on each question, then conclusions about other questions become apparent (this does not necessarily happen in numerical order).

This is where keeping a separate document can be helpful to keep track of your thinking.

If you are lost, there are hints at the top of the comments to help you. If you are still not having fun, there is a video (linked at top of comments) I put together describing how I solved it.

(side note for QM: I wish there was a way to eliminate/DQ the 50 or 60 quizzes where it's obvious that many people cheat -- e.g. an obscure list of 200, where 15% of takers get 100% correct. Just sayin').

Really tricky quiz, I like the concept

I think I haven't used info contained in question+answer number 7: I only used it as a check, at the end. Is it possible that there was redundant information? (Just a question, not complaining of course!)

Guess I'll have to learn some more English before taking such a quiz again haha

finishing the quiz without outside help really feels good and satisfying, i love this quiz

5, 10, 16 and 20 are all easy, the rest? you're in for a long ride...

Edit: Looking at the spreadsheet, I realized I had it right on there and entered it wrong.

...

...

what the f***?