# What is the next in this sequence of tables

Which is the next shape? Pick from the bottom line:

Source: Iranian Ph.D. university entrance exam 2017

• This is the second of these you've posted in rapid succession. Did you create these yourself, or did you get them from somewhere online? Commented Feb 15, 2018 at 16:02
• @f1krazy They are some questions of a university entrance exam, I tried to solve but got no idea. Why? Commented Feb 15, 2018 at 16:08
• I was just about to reply to your Meta post explaining this, but if you've taken a puzzle from somewhere else, you need to state this and link to the original puzzle. Depending on where you took the puzzle from, you might not actually be allowed to post it here: for example, we don't allow questions from ongoing competitions. Commented Feb 15, 2018 at 16:11
• Okay. If they're from a past exam, then that's fine, but it might be a good idea to state that at the top of the question, at the very least. Commented Feb 15, 2018 at 16:19
• @Ahmad Does the third image in the top line definitely match the original? (prompted by Hellion's answer). Commented Feb 16, 2018 at 17:39

I'd pick...

the third shape.

because

- the second shape has a 2x2 section in the top left rotated clockwise,
- the third has a 2x2 section in the bottom right rotated counterclockwise,
- the 4th has a 3x3 section in the top left rotated clockwise,
- the 5th has a 3x3 section in the bottom right rotated counterclockwise
- the shape that then fits the apparent pattern is the third, which has a 4x4 section in the top left rotated clockwise.

• This must be close. In fact, if you slightly altered the third image in the top line, it would work. Commented Feb 16, 2018 at 17:37
• I've been working along the exact same lines for the last day or two - and with the same lack of satisfaction in the development, or lack thereof, of a pattern in the changes. Also, having what seem to be 2 pairs of changes doesn't strongly indicate what the unknown next change (the first part of the 3rd pair) might be. Commented Feb 16, 2018 at 19:59
• @jwolf I answered the question, please take a look at it. Commented Feb 17, 2018 at 9:24
• While the early question had a mistake, and I am so sorry for that, you actually solved it. If you consider modifying your answer according to the correct answer! I would be glad to accept it as the accepted answer! Commented Feb 17, 2018 at 12:37

Table 2

Because:

Row-by-row comparison of the known tables reveals that the top row has two blue blocks, the second row has one, the third row has one, the fourth has two, and the bottom has two. The second table is the only one that fits this criteria.

• But the fifth table has three in the fourth row and only one in the bottom row. This seems mostly right, but doesn't quite hold up all the way. Commented Feb 15, 2018 at 21:03
• No! the answer is something else. Commented Feb 16, 2018 at 5:27
• Ah. Somehow I glossed over the last one. No Ph.D. for me! Commented Feb 16, 2018 at 12:32

Yes, it was a hard question.

Here is the answer; so Hellion also pointed that. However, the rotations are clockwise and anticlockwise in turn.