Types / Together

Average Questions Per Test0.6
Predicted Questions on Modern Test5.1
Together rules can occur in the context of a variety of games, and are almost always crucial interactions whenever they appear. By nature, they cause actors to move together, creating blocks that limit where they and other actors can be placed.

In today's example game, we'll assign passengers to seats on a bus, allowing us to examine how together rules can work in the same game on two different axes (same row or by window/aisle).

Note that F and G could both NOT be selected in the top panel.
A together rule doesn't specify the location of either actor on its own, but when combined with other rules, can cause actors to only fit in particular slots. Common examples are "F and G are either both selected or neither is selected" for grouping games, "H and G are assigned to the same group" for assignment games, or "J immediately follows K" in sequencing games. Examples of how to diagram these three rules are shown on the right.

Together rules are never contained in the game's stimulus, instead appearing in the list following the stimulus. Like most other grouping rule types, together rules build upon each other to allow deductions and create limitations on the game. While they sometimes appear as the only grouping rule, it's much more common for them to be paired with separate rules (the opposite of together!). 

Now let's turn to our example game about assigning passengers to seats. Let's start with 8 seats, and we're going to put 7 passengers (A-G) in those seats. The seats are numbered 1-8, and separated into a first row of 1-4 and second row of 5-8. Seats 1, 4, 5, and 8 are window seats, and seats 2, 3, 6, and 7 are aisle seats. 


Starting off, we should have a workspace that looks like this.
Below are a series of together rules being diagrammed, with the new rule and its part of the diagram in red. The first three rules are together rules, and the fourth is a slot rule. In the last two panels, the rules are synthesized and the diagram is simplified.


Note how the "row" together rules are drawn horizontally, while the "window" together rule is drawn vertically.

Also, note how all of the diagrammed blocks have "/" in them. This is because we don't know the relative order of the actors in the together block, we just know that they have to be in the same row or along the same window.

The caption for the image highlights the power of together rules to limit where the different groups of actors can go, and how you can "draw in" the structural effects of the rules by making "horizontal groups" match your diagram. B/D and A/C/E are horizontal because they will be drawn that way on our workspace; similarly, F/G is vertical, because it will be vertical.

The combination of the first two rules shows the power of min/max when applied to together rules. Because all five of the "horizontal" actors can't be put in the same row (remember, there are only four slots per row!), we know that B/D and A/C/E can't be in the same row. When combined with the F/G vertical block, we know that one of those two is going to combine with the A/C/E block to completely fill up a row.

Once the fourth rule rolls along, we can place the B/D block in the second row. Because 8 is also a window, there's no longer space for the F/G block to sit together along the right-hand window. Notice how much more restrictive it is to place D in a column, rather than a row: that's because there are 4 slots per row, but only 2 slots per column. When you think about together rules and other limiting rules as fractions, it can help you see why knowing 1/2 of a given part of the game is much more powerful than 1/4.

The synthesis panel shows us placing F/G in the other window column that has space (we still don't know which actor is in which slot, but they have to be along the same window), which means that B can only be in slot 6 or 7 to be in the same row as D.

The last panel "cleans up" the diagram by erasing the rules that we've already drawn into our workspace. We already know the only two spaces that each of B, F, and G can go, so we don't need to think about their rules anymore. The A/C/E block must be in the first row, however, so we can move up its block so that it aligns visually with where it can go. I don't like to draw in more than two possibilities for a single slot, so I'd leave the diagram as it is and start on the questions.
GroupTestQ #SectionAnswerYour AnswerDistractorDifficulty
PT 64 19-23 (1/8)PT 64192BMedium
PT 64 19-23 (1/8)PT 64202ADHard
PT 64 19-23 (1/8)PT 64212ACMedium
PT 64 19-23 (1/8)PT 64222DMedium
PT 64 19-23 (1/8)PT 64232CMedium
PT 63 18-23 (1/7)PT 63182BAHard
PT 63 18-23 (1/7)PT 63192CAHard
PT 63 18-23 (1/7)PT 63202ECVery Hard
PT 63 18-23 (1/7)PT 63212AEMedium
PT 63 18-23 (1/7)PT 63222CBHard
PT 63 18-23 (1/7)PT 63232DMedium
PT 62 7-13 (1/7)PT 6273BMedium
PT 62 7-13 (1/7)PT 6283CAHard
PT 62 7-13 (1/7)PT 6293BAHard
PT 62 7-13 (1/7)PT 62103BMedium
PT 62 7-13 (1/7)PT 62113AMedium
PT 62 7-13 (1/7)PT 62123CAHard
PT 62 7-13 (1/7)PT 62133EA/BVery Hard
PT 62 19-23 (1/7)PT 62193BMedium
PT 62 19-23 (1/7)PT 62203EMedium
PT 62 19-23 (1/7)PT 62213AEasy
PT 62 19-23 (1/7)PT 62223AEasy
PT 62 19-23 (1/7)PT 62233DEasy
PT 61 1-5 (1/5)PT 6113AVery Easy
PT 61 1-5 (1/5)PT 6123EMedium
PT 61 1-5 (1/5)PT 6133AVery Easy
PT 61 1-5 (1/5)PT 6143CMedium
PT 61 1-5 (1/5)PT 6153DAHard
PT 60 18-23 (1/9)PT 60182AVery Easy
PT 60 18-23 (1/9)PT 60192BC/DHard
PT 60 18-23 (1/9)PT 60202BCMedium
PT 60 18-23 (1/9)PT 60212DAMedium
PT 60 18-23 (1/9)PT 60222EEasy
PT 60 18-23 (1/9)PT 60232CMedium
PT 59 1-5 (1/9)PT 5911CVery Easy
PT 59 1-5 (1/9)PT 5921AVery Easy
PT 59 1-5 (1/9)PT 5931CEasy
PT 59 1-5 (1/9)PT 5941DMedium
PT 59 1-5 (1/9)PT 5951CEHard
PT 56 12-16 (1/5)PT 56121DEasy
PT 56 12-16 (1/5)PT 56131CHard
PT 56 12-16 (1/5)PT 56141AHard
PT 56 12-16 (1/5)PT 56151AMedium
PT 56 12-16 (1/5)PT 56161EMedium
PT 54 1-5 (2/10)PT 5413CDMedium
PT 54 1-5 (2/10)PT 5423DEasy
PT 54 1-5 (2/10)PT 5433EEasy
PT 54 1-5 (2/10)PT 5443CEasy
PT 54 1-5 (2/10)PT 5453CAHard
PT 53 1-5 (1/7)PT 5312BVery Easy
PT 53 1-5 (1/7)PT 5322AVery Easy
PT 53 1-5 (1/7)PT 5332BEasy
PT 53 1-5 (1/7)PT 5342BVery Easy
PT 53 1-5 (1/7)PT 5352CEasy
PT 51 1-5 (1/8)PT 5114DEasy
PT 51 1-5 (1/8)PT 5124AMedium
PT 51 1-5 (1/8)PT 5134EMedium
PT 51 1-5 (1/8)PT 5144CEasy
PT 51 1-5 (1/8)PT 5154EMedium
PT 50 12-17 (1/8)PT 50123BEasy
PT 50 12-17 (1/8)PT 50133BEasy
PT 50 12-17 (1/8)PT 50143CA/BHard
PT 50 12-17 (1/8)PT 50153AEasy
PT 50 12-17 (1/8)PT 50163EMedium
PT 50 12-17 (1/8)PT 50173EMedium
PT 48 13-17 (1/10)PT 48132CDHard
PT 48 13-17 (1/10)PT 48142AEasy
PT 48 13-17 (1/10)PT 48152DMedium
PT 48 13-17 (1/10)PT 48162CBMedium
PT 48 13-17 (1/10)PT 48172CBHard
PT 47 12-17 (2/12)PT 47124EEasy
PT 47 12-17 (2/12)PT 47134DMedium
PT 47 12-17 (2/12)PT 47144BVery Easy
PT 47 12-17 (2/12)PT 47154CEasy
PT 47 12-17 (2/12)PT 47164CEasy
PT 47 12-17 (2/12)PT 47174BDMedium
PT 46 12-16 (1/7)PT 46124AVery Easy
PT 46 12-16 (1/7)PT 46134CMedium
PT 46 12-16 (1/7)PT 46144EMedium
PT 46 12-16 (1/7)PT 46154DEasy
PT 46 12-16 (1/7)PT 46164BEasy
PT 46 17-22 (2/9)PT 46174CEasy
PT 46 17-22 (2/9)PT 46184CMedium
PT 46 17-22 (2/9)PT 46194BMedium
PT 46 17-22 (2/9)PT 46204DMedium
PT 46 17-22 (2/9)PT 46214EEasy
PT 46 17-22 (2/9)PT 46224DMedium
PT 44 7-12 (1/9)PT 4473EVery Easy
PT 44 7-12 (1/9)PT 4483BEasy
PT 44 7-12 (1/9)PT 4493AVery Easy
PT 44 7-12 (1/9)PT 44103EAHard
PT 44 7-12 (1/9)PT 44113DEasy
PT 44 7-12 (1/9)PT 44123AEasy
PT 44 13-17 (1/8)PT 44133EMedium
PT 44 13-17 (1/8)PT 44143CMedium
PT 44 13-17 (1/8)PT 44153AEasy
PT 44 13-17 (1/8)PT 44163EDMedium
PT 44 13-17 (1/8)PT 44173DCHard
PT 43 18-22 (1/9)PT 43184DCMedium
PT 43 18-22 (1/9)PT 43194CVery Easy
PT 43 18-22 (1/9)PT 43204EVery Easy
PT 43 18-22 (1/9)PT 43214AEasy
PT 43 18-22 (1/9)PT 43224CDMedium
PT 42 19-23 (1/7)PT 42191ACMedium
PT 42 19-23 (1/7)PT 42201BEasy
PT 42 19-23 (1/7)PT 42211ECMedium
PT 42 19-23 (1/7)PT 42221DEMedium
PT 42 19-23 (1/7)PT 42231DEasy
PT 41 18-24 (1/13)PT 41182CEasy
PT 41 18-24 (1/13)PT 41192DEasy
PT 41 18-24 (1/13)PT 41202AEasy
PT 41 18-24 (1/13)PT 41212CD/EMedium
PT 41 18-24 (1/13)PT 41222ACMedium
PT 41 18-24 (1/13)PT 41232BCMedium
PT 41 18-24 (1/13)PT 41242CEasy
PT 40 18-23 (2/11)PT 40182DVery Easy
PT 40 18-23 (2/11)PT 40192CEasy
PT 40 18-23 (2/11)PT 40202CVery Easy
PT 40 18-23 (2/11)PT 40212BEasy
PT 40 18-23 (2/11)PT 40222AEasy
PT 40 18-23 (2/11)PT 40232BEasy
PT 40 6-10 (1/8)PT 4062DVery Easy
PT 40 6-10 (1/8)PT 4072CAHard
PT 40 6-10 (1/8)PT 4082AVery Easy
PT 40 6-10 (1/8)PT 4092EMedium
PT 40 6-10 (1/8)PT 40102BEasy
PT 38 14-19 (1/7)PT 38142EVery Easy
PT 38 14-19 (1/7)PT 38152DEasy
PT 38 14-19 (1/7)PT 38162CHard
PT 38 14-19 (1/7)PT 38172BEasy
PT 38 14-19 (1/7)PT 38182BEasy
PT 38 14-19 (1/7)PT 38192CVery Easy
PT 36 7-13 (1/8)PT 3674EVery Easy
PT 36 7-13 (1/8)PT 3684AEasy
PT 36 7-13 (1/8)PT 3694CEasy
PT 36 7-13 (1/8)PT 36104CMedium
PT 36 7-13 (1/8)PT 36114AEasy
PT 36 7-13 (1/8)PT 36124ABMedium
PT 36 7-13 (1/8)PT 36134BEasy
PT 36 19-23 (1/10)PT 36194AEasy
PT 36 19-23 (1/10)PT 36204CMedium
PT 36 19-23 (1/10)PT 36214DEHard
PT 36 19-23 (1/10)PT 36224CMedium
PT 36 19-23 (1/10)PT 36234DMedium
PT 35 13-17 (1/11)PT 35133AVery Easy
PT 35 13-17 (1/11)PT 35143BEasy
PT 35 13-17 (1/11)PT 35153CVery Easy
PT 35 13-17 (1/11)PT 35163EEasy
PT 35 13-17 (1/11)PT 35173EEasy
PT 33 13-18 (1/9)PT 33134DVery Easy
PT 33 13-18 (1/9)PT 33144EDMedium
PT 33 13-18 (1/9)PT 33154EEasy
PT 33 13-18 (1/9)PT 33164DVery Easy
PT 33 13-18 (1/9)PT 33174DVery Easy
PT 33 13-18 (1/9)PT 33184BEasy
PT 30 6-10 (2/14)PT 3061DMedium
PT 30 6-10 (2/14)PT 3071AEasy
PT 30 6-10 (2/14)PT 3081AVery Easy
PT 30 6-10 (2/14)PT 3091DMedium
PT 30 6-10 (2/14)PT 30101CMedium
PT 29 1-6 (1/6)PT 2913DVery Easy
PT 29 1-6 (1/6)PT 2923CMedium
PT 29 1-6 (1/6)PT 2933AEasy
PT 29 1-6 (1/6)PT 2943BVery Easy
PT 29 1-6 (1/6)PT 2953BVery Easy
PT 29 1-6 (1/6)PT 2963CEasy
PT 29 20-24 (1/13)PT 29203EEasy
PT 29 20-24 (1/13)PT 29213AEasy
PT 29 20-24 (1/13)PT 29223BEMedium
PT 29 20-24 (1/13)PT 29233DMedium
PT 29 20-24 (1/13)PT 29243EBMedium
PT 28 6-12 (1/8)PT 2862DVery Easy
PT 28 6-12 (1/8)PT 2872BVery Easy
PT 28 6-12 (1/8)PT 2882CEasy
PT 28 6-12 (1/8)PT 2892CBVery Hard
PT 28 6-12 (1/8)PT 28102AVery Easy
PT 28 6-12 (1/8)PT 28112BEMedium
PT 28 6-12 (1/8)PT 28122DEasy
PT 27 13-19 (1/10)PT 27132DEasy
PT 27 13-19 (1/10)PT 27142AVery Easy
PT 27 13-19 (1/10)PT 27152CEVery Hard
PT 27 13-19 (1/10)PT 27162AMedium
PT 27 13-19 (1/10)PT 27172EHard
PT 27 13-19 (1/10)PT 27182BMedium
PT 27 13-19 (1/10)PT 27192EVery Easy
PT 26 1-7 (1/10)PT 2611CVery Easy
PT 26 1-7 (1/10)PT 2621BVery Easy
PT 26 1-7 (1/10)PT 2631AVery Easy
PT 26 1-7 (1/10)PT 2641DVery Easy
PT 26 1-7 (1/10)PT 2651EVery Easy
PT 26 1-7 (1/10)PT 2661AMedium
PT 26 1-7 (1/10)PT 2671DVery Easy
PT 24 1-5 (1/8)PT 2414DEasy
PT 24 1-5 (1/8)PT 2424AVery Easy
PT 24 1-5 (1/8)PT 2434AEasy
PT 24 1-5 (1/8)PT 2444BEasy
PT 24 1-5 (1/8)PT 2454CEasy
PT 22 1-7 (1/6)PT 2213DVery Easy
PT 22 1-7 (1/6)PT 2223CVery Easy
PT 22 1-7 (1/6)PT 2233EVery Easy
PT 22 1-7 (1/6)PT 2243BEasy
PT 22 1-7 (1/6)PT 2253EMedium
PT 22 1-7 (1/6)PT 2263BVery Easy
PT 22 1-7 (1/6)PT 2273BEasy
PT 22 8-14 (1/8)PT 2283BVery Easy
PT 22 8-14 (1/8)PT 2293BMedium
PT 22 8-14 (1/8)PT 22103DMedium
PT 22 8-14 (1/8)PT 22113BEasy
PT 22 8-14 (1/8)PT 22123BMedium
PT 22 8-14 (1/8)PT 22133AEasy
PT 22 8-14 (1/8)PT 22143AVery Easy
PT 22 15-19 (3/9)PT 22153EB/DHard
PT 22 15-19 (3/9)PT 22163DVery Easy
PT 22 15-19 (3/9)PT 22173CMedium
PT 22 15-19 (3/9)PT 22183EMedium
PT 22 15-19 (3/9)PT 22193AVery Easy
PT 22 20-24 (3/11)PT 22203EVery Easy
PT 22 20-24 (3/11)PT 22213EVery Easy
PT 22 20-24 (3/11)PT 22223EBHard
PT 22 20-24 (3/11)PT 22233EC/DHard
PT 22 20-24 (3/11)PT 22243DEasy
PT 21 1-6 (1/7)PT 2111CEasy
PT 21 1-6 (1/7)PT 2121BMedium
PT 21 1-6 (1/7)PT 2131BEasy
PT 21 1-6 (1/7)PT 2141CMedium
PT 21 1-6 (1/7)PT 2151AMedium
PT 21 1-6 (1/7)PT 2161CEasy
PT 20 1-5 (1/6)PT 2013AMedium
PT 20 1-5 (1/6)PT 2023AEasy
PT 20 1-5 (1/6)PT 2033DEasy
PT 20 1-5 (1/6)PT 2043AEasy
PT 20 1-5 (1/6)PT 2053BMedium
PT 20 13-18 (1/6)PT 20133CMedium
PT 20 13-18 (1/6)PT 20143DVery Easy
PT 20 13-18 (1/6)PT 20153CVery Easy
PT 20 13-18 (1/6)PT 20163EEasy
PT 20 13-18 (1/6)PT 20173EBMedium
PT 20 13-18 (1/6)PT 20183DEasy
PT 19 20-24 (2/8)PT 19201EEasy
PT 19 20-24 (2/8)PT 19211AEasy
PT 19 20-24 (2/8)PT 19221CEasy
PT 19 20-24 (2/8)PT 19231DEasy
PT 19 20-24 (2/8)PT 19241AEasy
PT 67 1-5 (1/10)PT 6713C
PT 67 1-5 (1/10)PT 6723D
PT 67 1-5 (1/10)PT 6733A
PT 67 1-5 (1/10)PT 6743A
PT 67 1-5 (1/10)PT 6753C
PT 66 1-5 (1/6)PT 6613E
PT 66 1-5 (1/6)PT 6623E
PT 66 1-5 (1/6)PT 6633B
PT 66 1-5 (1/6)PT 6643A
PT 66 1-5 (1/6)PT 6653C
PT 66 12-16 (2/12)PT 66123B
PT 66 12-16 (2/12)PT 66133E
PT 66 12-16 (2/12)PT 66143A
PT 66 12-16 (2/12)PT 66153A
PT 66 12-16 (2/12)PT 66163D