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© J R Stockton, ≥ 2008-09-19

Sundry Problems.

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These are selected purely on the basis that I personally like them. Corrections are welcome; but suggestions of others are not. Answers are in ROT-13 (A=N, B=O, ..., M=Z), at the foot of the page.

Exports

(a) Which European country until recently contained the capital of another one?

(b) Which African country was contained in a body of fresh water?

(c) Which British railway station is furthest from the place that gave it its name?

(d) Which part of the United States has the most Easterly longitude?

(e) An elementary question : there is an unreliable rule of English spelling often given as "I before E, except after C". I know of one word in Chambers' Dictionary that breaks that rule twice (on checking its presence there, I found another; it should not take a genius to deduce one) - suggestions?

I before e / except after c / or when it sounds like a / as in neighbour and weigh / or weird words like weird. - Jim S.

(f) DOS pipes use their own quaintly-named temporaries, usually not seen. The names appear to be the creation time in ticks, HMS.s, in Hex, but using A..P for 0..F. Try
  dir %temp%\A*. | find "/".
What words, if any can be given?

(g) This was once solved by a friend of mine in about thirty seconds.

 +-----+-----+-----+-----+-----+
 ||    |     |     |     |     |
 |     |     |     |     |     |
 +-----+-----+-----+-----+-----+
 |     |     |     |     |     |
 |     |     |     |     |     |
 +-----+-----+-----+-----+-----+
 |     |     |     |     |     |
 |     |     |     |     |     |
 +-----+-----+-----+-----+-----+
 |     |     |     |     |     |
 |     |     |     |     |     |
 +-----+-----+-----+-----+-----+
 |     |     |     |     |     |
 |     |     |     |     |    ||
 +-----+-----+-----+-----+-----+

(h) It seems almost mandatory for Americans to have three names, and to use "Forename Initial Surname". Who used a middle name in order not to be taken for an American?

Imports

(A) Name a four-legged marine animal (5, 3).

(B) Four dogs are at the corners of a Newtonian field, 100 m square. At a certain instant, each notices the next one clockwise, and runs at 10 m/sec towards that moving target. Questions (i) do they meet; (ii) if so, where; (iii) after how long; (iv) how many turns do they make?

(C) A mouse eats a straight cylindrical hole 150 mm long symmetrically through the centre of a spherical cheese. How much cheese is left?

Crosswords

This one was alleged to be from the "Irish Times" :-

Across         Down
1Vegetables         1Blow
6Employ 2Drink
7Chickens 3Puppet
8Grasp 4Magazine
9Ackneyed omission 5Tool
       
1   2   3   4   5  
6     
7     
8     
9     

Another :-

Across         Down
1Flat-bottomed boat         1Pudding
5Stake a bet 2Consume
6Kick a dropped football 3Birds
7Old Money 4Drinks
       
1   2   3   4  
5   
6   
7   

Another :-

Across         Down
1  
1A Lofoten location         1An audible Orse-food        

Queries

What's the longest English word that is its own ROT-13 (a) reverse; (b) anagram ?
For a start :-
(a) (an, bo, er, na, re ; fans, fobs, gnat, nana, rive, robe, serf, tang, thug) ; grivet ravine rebore.
(b) ( ... ; baboon, bought, garnet, hurley, livery, nearly, paunch, prance, ravine, refers, regret, and others ; averting, and others) ; emblazonry, reprobance.
Consider : gnat / tang and robe / ebor.
Consider : envy / rail / liar.
UNIXers - consider also the editor 'vi'.

The longest English ROT-13 pair I know of is abjurer/nowhere (P.S.: Fun With Words: Word Oddities agrees; but it seems to refer to the American language).

Answers

Coded in Rot-13 (change A to N, B to O, ... M to Z, and vice versa) :-

(a) Pmrpu bfyb inxvn.
(b) Yn xr-aln fn (abj Ynxr Znynjv).
(c) Jngreybb. BGBU, creuncf vg jnf anzrq nsgre gur Oevqtr. (Gurer'f n Jngreybb ba gur Zrefrlenvy Abegurea Yvar).
(d) Bss gur jrfgjneq raq bs Nynfxn, gur Nyrhgvna vfynaq punva bireyncf vagb gur rnfgrea urzvfcurer. Cbffvoyl Frzvfbcbpuabv Vfynaq.
(e) Rvafgrvavhz - Ryrzrag 99; Rvafgrvavna.
(f) NZOVNAPR vf arneyl cbffvoyr, ohg snyyf orgjrra gvpxf. ORQRPXRQ?? OYNAPURQ??
(g) Fngbe Nercb Grarg Bcren Ebgnf : Yngva, zhygv-qverpgvbany.
(h) Fve Jvafgba Puhepuvyy. Frr puncgre "Byqunz" va uvf "Zl Rneyl Yvsr".

(A) Fuvc'f Png.
(B) (i) Gurl qb zrrg; (ii) Ng gur prager; (iii) Nsgre gra frpbaqf; (iv) Na vasvavgr ahzore (nyy nffhzvat qbtf bs artyvtvoyr fvmr).
(C) Vg pna or fubja gung gur nafjre vf vaqrcraqrag bs gur qvnzrgre bs gur purrfr, naq sbe na vasvavgryl guva zbhfr vg vf pyrneyl sbhe guveqf cv gvzrf friragl-svir phorq zz^3.


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