The GCHQ Puzzle Book: Perfect for anyone who likes a good headscratcher

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Eliminating those words whose 4 th letter is the same as the 1 st (BULBS, COUCH, EASEL, MAIMS, VERVE) leaves:

h) BUtterfield Eight (John O’Hara) - On this Sunday morning in May, this girl who later was to be the cause of a sensation in New York, awoke much too early for her night before. They all had prime number ages, in a year which was also a prime number. This happens again in 2017, when they will be aged 17, 19, 47 and 53. Can be preceded by a weapon: BAYONET-FITTING, LANCE CORPORAL, RIFLE RANGE, SABRE-TOOTH, SHOTGUN WEDDING, SPEARMINT, SWORDFISH b) For n=3, 4, 5, …, the smallest number that is divisible by n and has n letters: 300, -, 70000000, 15000, 14000 (no solution for n=13) e) JUICE [ JAY WALKING; U-BOAT, TURN; OBSERVE, OGLE, VIEW - synonyms of EYE/ I; C/SEA - HORSE, LION, SHORE, WEED; e-BAY, COLI, CRIME, GOVERNMENT, MAIL]Animal/collective noun: TERMITE/ COLONY, RHINOCEROS/ CRASH, TORTOISE/ CREEP, LEOPARD/ LEAP, CROW/ MURDER, OWL/ PARLIAMENT, WHALE/ POD, LION/ PRIDE b) CDILMVX (Roman numerals), AJKQ (card suits), ENSW (points of the compass) and FP (hard and soft, musically) Apocrifal must have scored 64-20-9=35 against Dewbius (as Dewbius had 64 points against them), therefore they scored 83-8-35=40 against Beaugas. Similarly Dewbius must have scored 24-0-0=24 against Apocrifal. Hence they scored 35-24-0=11 against Beaugas.

n) (before are pre-nominal titles with each letter replaced by its predecessor in the alphabet) BOK/CPL, LQR/MRS, QDU/REV, RFS/SGT, RHQ/SIR; (after are post-nominal appellations with each letter replaced by its successor in the alphabet) FTR/ESQ, JJJ/III, KOS/JNR, PCF/OBE, TOS/SNR b) DIM (or any other 3-letter word formed from the letters of SODIUM): DRY/HYDROGEN, LIE/HELIUM, HIT/LITHIUM, RYE/BERYLLIUM, ROB/BORON, BAR/CARBON, GET/NITROGEN, YEN/OXYGEN, NIL/FLUORINE, ONE/NEON, DIM/SODIUM d) GAMES is not an anagram of either a Boy’s (CLEAN, CIGAR, BAILS, WINED, SMILE, LYRIC, WILES) or a Girl’s (LADLE, HOARD, DAILY, AURAL, CANNY, MANOR, BYTES) name Nine/9 pins: DRAWING pin, FIRING pin, HAIRpin, HATpin, KINGpin, ROLLING pin, SAFETY pin, TAILSpin, TIEpin

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Contains a X (10 in Roman numerals): BOXER, EXTRA, FOXTROT, JUXTAPOSE, NEXT, OXEN, SAXOPHONE, SUSSEX, TEXAS, WAXY EON is the odd ONE out being an anagram of a number in English; the other words are anagrams of numbers in French or German: m) Madness = Chris Foreman, Carl Smyth, Daniel Woodgate, Graham McPherson, Lee Thompson, Mike Barson, Mark Bedford Each state has the property of having one example of the n th letter of the alphabet as its n th letter:

Madagascar. The countries contain 1, 2, 3 and 4 identical vowels: CyprUs swEdEn, mOrOccO, mAdAgAscAr. BATES/HE/2, BURROUGHS/ER/68, CLARKE/AC/89, GARDNER/ES/99, HEINLEIN/RA/88, JAMES/PD/46, LEWIS/CS/55, SHELLEY/PB/82, WELLS/HG/80, WOOLF/V/23 b) 50. The sequence is those numbers which are the sum of 2 squares. 50 is the first number that is the sum of two squares in two different ways. 50 = 49 + 1 and 50 = 25 + 25f) 29 = 17 + 12. 4 = 1 + 3, 8 = 2 + 6, …, 30 = 16 + 14 (number + Scrabble score of number in English)

Anagrams of units of measurements: SCARE/ ACRES, BLUSHES/ BUSHELS, CHINA/ CHAIN, TEACHER/ HECTARE, CHIN/ INCH, SLIME/ MILES, LOPE/ POLE, DRAYS/ YARDS c) Rhymes: ALTHOUGH/GATEAU, BEER/TIER, BITE/SLEIGHT, BLUE/THROUGH, CONFINE/RESIGN, DISDAIN/SANE, LAUGHED/RAFT, LYNX/WINKS, QUARTZ/WARTS b) 11010. The list is the Roman numerals I, II, III, …, (part of) XXI with I, V, X replaced by 1, 5, 10 respectively. XXI, XXI = 1010 1, 101011c) In each word any two letters are a multiple of 3 apart in the alphabet: (i.e. they are formed from one of ADGJMPSVY, BEHKNQTWZ or CFILORUX): in GASEOUS letters come from all 3 groups. f) CAN VAS, FLASK S, FLORI ST, I MA GO, MA INLAND, MA UVE, OR IG IN, TE ENS, V ARM INT, ZOOMING become US states when 2 letters are changed: CONNECTI ONS requires 3 letters to be changed. Melting points of elements (Celsius): ALUMINIUM/659, CALCIUM/850, LEAD/328, LITHIUM/181, MAGNESIUM/650, SILVER/962, TIN/232, ZINC/420 c) D. These the initials of the last 6 months of the year: July, August, September, October, November and December. The name GEORGE ORWELL can be read by moving vertically and horizontally through the letters. He wrote 1984.