1. a, b and c are sets of letters with no letter in more than one set. Using ALL of the letters in the sets indicated (possibly with repetition), and no other letters, words or names can be made with the following definitions. Identify all of the answers.
(a) Vaccine (b) Beauty and the Beast villain (c) Swimmer Simmonds (a+b) Famous astronaut (a+c) Chaucer pilgrim (b+c) Ancestry specialist (a+b+c) Comprehensively flattening
2. If you multiply the first 700 prime numbers together, what is the resulting number’s last digit?
3. Which tree might continue the following:
EDGE, ADDRESS, FELINE, ACHES, RACKET, ROCKERY, ASCENT, PACIFY, LUMMOX, UROLOGY, ?
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Answers
1. a is {MR}, b is {AGNOST}, c is {EIL}. Answers are (a) MMR (b) GASTON (c) ELLIE (a+b) ARMSTRONG (a+c) MILLER (b+c) GENEALOGIST (a+b+c) STEAMROLLING.
2. 0. The list of primes include 2 and 5, so their product is a multiple of 10.
3. PALM. The words can be prepended with symbols for elements, in periodic table order: Hedge, HEaddress, LIfeline, BEaches, Bracket, Crockery, Nascent, Opacify, Flummox, NEurology, NApalm.