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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 | 18,502 |

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
**✓**

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
**✓**

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
**✓**

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
**✓**

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
**✓**

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
**✓**

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
**✓**

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.

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.

Question 9 is "The next question with the same answer as this one is question," with option (B) being 11, meaning of course that if the answer is B here then the answer to Question 11 must also be B.

Question 11 is "The number of questions preceding this one with the answer B is," with option (B) being 1.

However, we already know that Question 4's answer is B, so if Question 9 is also B that would mean that there are at least 2 questions prior to 11 with the answer B.

In short: If 9 is B, it leads to a paradox where 11

mustbe B (because of 9's answer) andcan'tbe B (because it's now incorrect). Thus, the answer to 9 can't be B.11Can'tbe B. I nearly made that mistake. Eliminated both B's as possible answers for 9 and 11. (Luckily caught it right after I made the error, if you don't knowwhereyou made a mistake in this quiz because it was several thought processes and decisions ago, you are in trouble ;))Simply put, just because 9 can't be B that doesn't mean 11 can't be. (and it actually is ;) )

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.

Question 12 can also be solved without needing to answer any questions.

If we look at question 8, there are 5 numbered possibilities for the amount of vowel answers in the quiz; 4, 5, 6, 7, 8. Since we know there are 20 questions. We can say that the amount of consonant answers can either be 16, 15, 14, 13 or 12.

We can compare these 5 numbers to the statements in question 12. 16 is only an even number, 15 is an odd number but also divisible by 5, 14 is also only an even number, 13 is an odd number but also a prime number, and finally, 12 is only an even number.

The only option that has been present alone, is A, and since questions can't have multiple answers, it must therefore be A.

and then i got one point

for questions 6 and 17.

how can the answer to 6 be B since it means the answer to 17 is D= the answer to 6 is none of the above

isn’t B one of the above????

or does that not mean what i think it does ?

I normally don't post my time (this might be the first time, though maybe it did it once or twice on a quiz that was relevant) but wanted to show that the time set for this quiz was well done, also that it I really needed it all, it got tense near the end. (Did not read the comments, did rewrite the questions on a notepad on the computer, might have spend a lot of time typing and removing brackets and spaces... If I knew an answer was wrong I put it in brackets, but also then wanted to remove the spaces. Like B A(C)(E)D and I was fumbling a lot there. Wanted it to not look messy... rows needed to be aligned etc haha recapitalizing, yup was wasting time :D, but it helped visually, a bit..) I rewrote it btw so there was less scrolling and the questions were a bit more comprehensive and concise.