I'm looking at three sequences from the test at http://free.ultimaiq.net/nse.htm. I managed to answer 27 of the 30 questions, but I'm really curious about the other three.

Q6: 1001, 4524, 4299, 3984, ? -- here is something like 100 145 244 299 398 45+99+55+99 and the next one should be 398+65and+99 but its not

Q24: 50625, 1296, 8100, 3240, ? -- I only know that the answer is not an integer and there is a hint "think how you can arrive at an+2 given an+1 and an".

Q22: 38, 50, 22, 18, ?, ?

  • $\begingroup$ Q22 has the property that if you count the 7-segment LED bits set, you get 12,11,10,9, but I can't see any reason behind the choices. $\endgroup$
    – JMP
    Nov 8, 2019 at 18:40
  • $\begingroup$ Yes i try many combination's to solve this question and still but thank you for that 2Q. $\endgroup$
    – user63706
    Nov 8, 2019 at 18:44

2 Answers 2



The answer is 4354, which is +45,+99,+55,+99,+45,+99, so 443,542 splits into the 4-digit 4354.



The power of $3$ stays constant, the powers of $2$ and $5$ are the average of the previous two, so the answer is $2^{2.5}3^45^{1.5}=5122.889809472774517838207541981$, although anything with 1dp or more seems to work.

  • $\begingroup$ This is pretty stupid. (I don't mean that your answer is wrong, I mean the question is stupid.) Quite aside from the gratuitous "frame shifting", this boils down to asking the solver to extrapolate the sequence 45, 55, ? which could perfectly well yield 65 (OP's guess), 66 (triangular numbers), 45 (your answer), and any number of other roughly equally plausible possibilities. [EDITED to add:] I'm referring to Q6. Q24 is more reasonable. $\endgroup$
    – Gareth McCaughan
    Nov 8, 2019 at 18:06
  • 1
    $\begingroup$ @JMP The much simpler way to explain the solution for Q24 is that a_n = sqrt(a_n-1 * a_n-2) (i.e. the geometric mean). $\endgroup$ Nov 9, 2019 at 13:18

NSE IQ # 22:

38 50 22 18.


to resolve the quest you have to add two number and then divide for four. you add 38+50= 88/4= 22 ( it's the third number). 50+22= 72/4=18 ( the fourth number). 22+18=40/4= 10 then 18+10=28/4=7. so the answer is 10 and 7.

  • 1
    $\begingroup$ Welcome to Puzzling! Unfortunately, your answer lacks an explanation of why you think it is correct, so may be deleted. Answers should be a thoughtfully considered attempt to solve the puzzle that was posed, with an explanation of how you arrived at the solution and/or why you believe your solution is correct. We're looking for quality answers, not a one-line response containing the first thing that leapt to mind. Please take some time to look around and familiarize yourself with the kinds of answers that are well-received here, ideally before you post any more answers. $\endgroup$
    – Glorfindel
    Jul 29, 2020 at 8:27

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