Based on the relationship between the shapes in the top row, fill the question mark with a shape from the right.

enter image description here

Source: Iranian Ph.D. university entrance exam 2016

  • 3
    $\begingroup$ Note to solvers: those symbols before the brackets are the Arabic symbols for 1, 2, 3, 4 - don't try analysing them to wonder if they tell us anything about the solution(s). $\endgroup$ Commented Feb 18, 2018 at 18:52
  • 1
    $\begingroup$ @Rand Finding that point could be part of the puzzle. $\endgroup$
    – Ahmad
    Commented Feb 18, 2018 at 19:24
  • $\begingroup$ Wouldn't people in Iran already know that though? $\endgroup$ Commented Feb 18, 2018 at 19:24
  • $\begingroup$ @Randal'Thor Sure they know! I meant at here, it could be part of the puzzle because one can read the "Source" and guess that they are just numbers in another script. Besides, they are not much different from English ones. Interestingly Latin numbers are exactly the ones that the Persian mathematics Kharazmi introduced (from Indian) in his great book Algebra (now most people consider both the numbers and algebra Arabic!). $\endgroup$
    – Ahmad
    Commented Feb 18, 2018 at 19:32
  • 1
    $\begingroup$ @ibrahimmahrir Yeah, I know 0-9 are actually Arabic and the other ones are more Indian and just used in modern Arabic, but I didn't want to confuse things :-) The digits seen here are the ones used by (many) Arabic writers, which is what matters. (Didn't know the Pseudo-Arabic thing, but I'm not surprised that Persian uses slightly different digits to Arabic, since their way of using the letters is also slightly different.) $\endgroup$ Commented Feb 18, 2018 at 19:40

1 Answer 1


The answer is

the top right, since the dots have been rotated two spaces counter-clockwise around the perimeter.

  • 1
    $\begingroup$ By the way, the top right is 2. $\endgroup$
    – Ahmad
    Commented Feb 18, 2018 at 19:04
  • $\begingroup$ @Ahmad: spoiler $\endgroup$
    – smci
    Commented Feb 19, 2018 at 2:10

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.