c) All are words when converted to hexadecimal: 10/ A, 190/ BE, 2766/ ACE, 57005/ DEAD, 11325150/ ACCEDE, 14613198/ DEFACE, 16435934/ FACADE d) Anagrams of composers: BUTCHERS/ SCHUBERT, DIVER/ VERDI, HANDY/ HAYDN, HARLEM/ MAHLER, LARGE/ ELGAR A team’s score is the number of letters its name has contained in the group title; repeated letters in a team’s name must be repeated in the title to further count (which is why GREECE scores 3 for the Es and CZECH REPUBLIC scores only 1 for the Cs). Can be preceded by a weapon: BAYONET-FITTING, LANCE CORPORAL, RIFLE RANGE, SABRE-TOOTH, SHOTGUN WEDDING, SPEARMINT, SWORDFISH

b) THE HAGUE, VALETTA, ANKARA, MADRID, HAVANA, PARIS, LISBON, COPENHAGEN, BERN, MOSCOW, NEW DELHI, BEIJING Parts of the body: Chin STRAP, Ear WIG, Elbow GREASE, Foot SOLDIER, Hand SHAKE, Hip FLASK, Knee CAP, Nose BAG, Shoulder BLADE, Wrist WATCH

The 3 remaining words - linked by the word LINK - are (LINK) ARMS, CONNECTION (= LINK) and CHAIN (LINK). ALGAE, BULBS, COUCH, DEPTH, EASEL, FJORD, GENII, HOPED, JAMMY, KNIFE, LABEL, MAIMS, NIECE, ORGAN, PATHS, QUOTE, SEATS, TITHE, UPSET, VERVE, YACHT Eliminating those words whose 2 nd letter is a consonant (ALGAE, FJORD, KNIFE, ORGAN, UPSET) leaves: Synonyms rhyme with 8/eight: DESTINY/fate, DETEST/hate, PAL/mate, PORTAL/gate, SATISFY/sate, TARDY/late, TRYST/date, VALUE/rate

The: ALEXANDER (BORODIN), CESAR (CUI), MILY (BALAKIREV), MODEST (MUSSORGSKY), NIKOLAI (RIMSKY-KORSAKOV) X of the Y: LADY/ CAMELLIAS, LORD/ FLIES, SILENCE/ LAMBS, LAST/ MOHICANS, NAME/ ROSE, DAY/ TRIFFIDS, WAR/ WORLDS

c) A Greek letter can be inserted to form a word (alphaBET, DetaIN, DIOxiDE, GRAphiTE, MINOtauR, OpiNION, PEAnuT, muSLIM, chiTIN, URchiN): can’t Each state has the property of having one example of the n th letter of the alphabet as its n th letter: 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)