# What's the sixth word in these sequences?

What's the sixth word in these sequences?

1. CLOUTS, OBERON, DANGER, PEOPLE, BEMOCK
2. BARBED, SCHUSS, AGENCY, HOVERS, TERROR
3. PREFAB, ARTFUL, KEEPER, INCITE, MANIOC
4. MILLED, ONWARD, STANDS, WAIVES, ALINES

and then:

1. CLUMSY, BUCKET, BROKEN, JARGON, DIADEM
2. ATRIUM, RENTAL, GLANCE, TRIPOD, SUNDAE
3. KOSHER, OOMIAK, ENDING, ORPHAN, MISHIT

Source: The GCHQ Puzzle Book

• @QuantumTwinkie No it is correct as is.
– Simd
Sep 11, 2018 at 20:50
• Can you say where you got this question from? Questions on puzzling should have attribution.
– ffao
Sep 11, 2018 at 20:54
• @ffao A friend posed it to me and said it was from a puzzle book he got last Christmas. He didn't say which one, sorry.
– Simd
Sep 11, 2018 at 20:54
• The GCHQ Puzzle Book Sep 11, 2018 at 20:56

I am going to explain some parts that I managed to figure out myself

So, I am going to use just number 1 as an example :

We first have to arrange so that the words go down :
CLOUTS
OBERON
DANGER
PEOPLE
BEMOCK

Then, starting from the top left corner, we just get :

C
O
D

From the Top Right Corner (% sign means other insignificant letters), we get :

%%%UTS
%%%RON
%%%GE%
You go from S to T to U to R to G to E to O and finally to N
Which will give us STURGEON

As we can see,

STURGEON and COD are both types of fish but doing the same strategy from the down left corner and down right corner does not produce names of fish

This is all I have managed :D

• didn't understand the answer, could you explain a bit more? Sep 15, 2018 at 7:24
• 4 corners of what?
– Simd
Sep 15, 2018 at 7:37
• Ok I'll explain more @Anush Sep 15, 2018 at 7:38
• If you don't want to follow the provided link, which spoils many GCHQ puzzles, here's how the first one works. The solution is ingenious, but I'm a bit disappointed that this answer is just the result of an internet search. (I'm not smart enough to have gotten this one, either, mind.) Sep 15, 2018 at 7:53
• I don't know. I don't really think it is illegal, but I'm a bit miffed nonetheless. (Of course, my feelings are no sound basis for PSE etiquette.) I don't own the GCHQ Puzzle book. Apparently, it doesn't provide the answers, but it is no surprise that they have been published somewhere. These puzzles are tough, so it doesn't sit well with me that a question with a bounty is answered like that. The usual remedy here is that here at PSE, we prefer original creations over re-posting puzzles. Sep 15, 2018 at 8:16

This kind of looks like a really really tricky game of

Boggle.

We have 1, thanks to help from @Kevin L:

CLOUTS
OBERON
DANGER
PEOPLE
BEMOCK

Reasoning: As Kevin mentioned,

You can spell cod and sturgeon, but I noticed that there are pieces of salmon and mackerel there. If we continue the trend of starting in corners, the first three letters must be SAL, and the last two letters must be AM. This hints at the solution being SALAAM, although I’m not sure if non-English words are allowed.

For the second one,

BARBED
SCHUSS
AGENCY
HOVERS
TE RROR

Reasoning: As

You can spell Bach and Debussy, but I noticed that there are pieces of Beethoven there. If we continue the trend of starting in corners, the first two letters must be BE. I noticed that the last four letters might be related, and indeed ELGAR is formed if the last four letters are AGLE. The word here is BEAGLE.

For the third one,

PREFAB
ARTFUL
KEEPER
INCITE
MANIOC

Reasoning:

@Kevin L found that you can make parakeet and bluetit out of the top two corners. Thanks, @Kevin! I noticed then the bottom right corner should be S to make scoter, and then possibly CRE to start will make crane in the bottom right. This leaves CRE _ _ S...which leaves lots of possible words: CREAMS, CREEDS, CREEPS, CREPES, CREEKS, CREAKS, CREDOS, CRESTS...etc.

For the fourth one,

MILLED
ONWARD
STANDS
WAIVES
ALINES

Reasoning:

The top left corner gives Montana, and after considerable digging I think I can sketchily make Delaware out of the top right. The bottom left must be Hawaii (word starts with H) and with all the S and E in the bottom right corner, maybe Tennessee? This would need a TEN, so last three letters are NET, so H _ _ NET spells HORNET...?

For 5:

CLUMSY
BUCKET
BROKEN
JARGON

Reasoning:

The top left spells Cuba down the diagonal. If you’re allowed to repeat, I was thinking top right was Yen or Yem, but I repeated an E (is that legal?) to make Yemen. Again, this only uses diagonals so maybe we have to do that for bottom too. The I and J in the bottom left seem to imply Fiji, meaning first letter F. Starting in the bottom left, you can make ENEGA if you’re allowed to repeat — so how about Senegal, which implies a 4th letter of L and a 6th letter of S? Then we have F _ _ L _ S, which could be FIELDS, FABLES, FAULTS, FRILLS, etc.

For 6:

ATRIUM
RENTAL
GLANCE
TRIPOD
SUNDAE

Reasoning:

This one seems clumsy for me, but I can make out Argentina in the top left and Macedonia in the top right. The UST seems to imply Austria or Australia (probably the second one, since they’re all 9 letter words). Either way, bottom left corner is A. I kind of think I can form Barbados with last letters SORB, but Barbados is 8 letters not 9. If it is Barbados, then the word is either ABSORB or ADSORB (either valid).

For 7:

KOSHER
OOMIAK
ENDING
ORPHAN
MISH IT

Reasoning:

This one is super janky, but I thought of it during my latest chess match... you can make the word KNIGHT by starting in the top left corner and making knight moves. You can make the word ROOK by starting in the top right corner (skipping a few letters) and making rook moves. In the bottom left corner it appears that you can make a BISHOP with a first letter B and third letter S (and using bishop moves). In the bottom right corner you can make KING with last letter K using king moves. This leaves us with B _ S _ _ K. This involves an archaic form of a word, but I think BESEEK fits the bill here.

How do these look?

• [This one I managed to figure out somehow] May I suggest that ROT13 (Nf sbe gur guveq cneg, lbh trg CNENXRRG naq OYHRGVG, anzrf bs oveqf V oryvrir. Sebz gurer, lbh pna whfg svaq bgure glcrf bs oveqf)? Sep 15, 2018 at 13:26
• As for the number 7, I wasn't able to figure anything out :D Sep 15, 2018 at 13:27
• @KevinL thanks! I think I’ve got something based on your suggestion! Sep 15, 2018 at 13:41
• No problem. I'm happy to help :D Sep 16, 2018 at 11:48