On Sunday, October 2, 2005 at 3:20:11 PM UTC-5, judgero...@yahoo.com wrote:
> If you spot an error or would like to add answers, please reply to this
> post or send me an e-mail, or both.
> Don't forget to explain your answer, the more detail the better.
> The test questions can be found here:
> http://www.eskimo.com/~miyaguch/titan.html
> 1. STRIP : MoBIUS :: BOTTLE : KLEIN
> 2. THOUGHT : ACTION :: OBSESSIVE : COMPULSIVE
> 3. LACKING MONEY : PENURIOUS :: DOTING ON ONE'S WIFE : UXORIOUS
> (definitions)
> 4. MICE : MEN :: CABBAGES : KINGS (from literature)
> 5. TIRE : RETREAD :: PARCHMENT : PALIMPSEST
> 6. ALL IS ONE : MONISM :: ALL IS SELF : SOLIPSISM (a doctrine in
> philosophy, nothing exists except the self, or alternately the
> existence of everything else depends on the existence of the self)
> 7. SWORD : DAMOCLES :: BED : PROCRUSTES
> 8. THING : DANGEROUS :: SPRING : PIERIAN
> (A little learning is a dangerous thing; drink deep, or taste not the
> Pierian spring - Alexander Pope. An
> Essay on Criticism)
> 9. HOLLOW VICTORY : PYRRHIC :: HOLLOW VILLAGE : Potemkin
> 10. PILLAR : OBELISK :: MONSTER : BASILISK (OBELISK from Greek
> obeliskos, BASILISK from Greek basiliskos)
> 11. 4 : HAND :: 9 : SPAN (a hand is 4 inches, a span is 9 inches)
> 12. GOLD : MALLEABLE :: CHALK : FRIABLE (rhyming pattern)
> 13. EASY JOB : SINECURE :: GUIDING LIGHT : CYNOSURE (the rhyming
> pattern is the key here)
> 14. LEG : AMBULATE :: ARM : BRACHIATE
> 15. MOSQUITO : MALARIA :: CANNIBALISM : KURU (a disease limited to the
> Fore tribe of New Guinea, who eat human brain in their religious
> rituals)
>
> 16. HEAR : SEE :: TEMPORAL : OCCIPITAL (Lobes of the brain that deal
> with hearing and sight.
>
> 17. ASTRONOMY AND PHYSICS : ASTROPHYSICS :: HISTORY AND STATISTICS :
> CLIOMETRICS (Cliometrics is the use of statistics or economics in
> historical studies.)
>
> 18. JEKYLL : HYDE :: ELOI : MORLOCKS (from the books by Robert Louis
> Stevenson and H.G. Wells)
> 19. UNIVERSE : COSMO- :: UNIVERSAL LAWS : COSMONOMOLOGO-
> 20. SET OF SETS NOT MEMBERS OF THEMSELVES : RUSSELL :: DARKNESS OF THE
> NIGHT SKY IN AN INFINITE UNIVERSE : OLBERS
> (KEPLER has also been offered as an answer)
> 21. TEACHING : UPLIFTING :: PEDAGOGIC : ANAGOGIC (from Greek
> for spiritual uplift)
>
> 22. LANGUAGE GAMES : LUDWIG :: PIANO CONCERTI FOR THE LEFT HAND : PAUL
> (So obscure it is silly. Ludwig and Paul Wittgenstein were brothers.
> One was a pianist, the other was the famous philosopher who used the
> phrase "language games" in his book Philosophical Investigations.
> Knowing this meaningless bit of trivia can hardly be an indication of
> great intelligence.)
>
> 23. IDOLS : TWILIGHT :: MORALS : GENEALOGY (Titles of Nietzsche's
> books)
>
> 24. SWEET*NESS* : SUFFIX :: BOAT*SWAIN* : STEM ("ness" is a suffix,
> "swain" is the stem of the compound word "boatswain."
> Alternate answer is BASE, which fits the rhyming pattern better
>
> 29. The answer is 20.
>
> 31. The answer is 22
> (this answer may be wrong)
> 37.
> Initially, we need to consider 11 possibilities where we choose 10
> white marbles.
> 1) After the insertion, the box contains 10 whites. The chances of
> this are 1 in 2^10, i.e. 1 in 1024. If this is the case, in our
> subsequent drawing we're bound to pick out 10 whites. Total probability
> of this possibility = 1/1024
> 2) After the insertion, the box contains 9 whites. The chances of this
> are 10!/9!/1! = 10 in 1024. If this is the case, in our subsequent
> drawing our chances of picking out 10 whites is (9/10)^10 because we
> have a 9/10 chance each time. Total probability of this possibility =
> 10/1024 * (9/10)^10
> 3) After the insertion, the box contains 8 whites. The chances of this
> are 10!/8!/2! = 45 in 1024. If this is the case, in our subsequent
> drawing our chances of picking out 10 whites is (8/10)^10 because we
> have a 8/10 chance each time. Total probability of this possibility =
> 45/1024 * (8/10)^10
> 4) Box = 7 whites. Total = 120/1024 * (7/10)^10 i.e. nCr * (r/10)^10
> 5) Box = 6 whites. Total = 210/1024 * (6/10)^10
> 6) Box = 5 whites. Total = 252/1024 * (5/10)^10
> 7) Box = 4 whites. Total = 210/1024 * (4/10)^10
> 8 ) Box = 3 whites. Total = 120/1024 * (3/10)^10
> 9) Box = 2 whites. Total = 45/1024 * (2/10)^10
> 10) Box = 1 whites. Total = 10/1024 * (1/10)^10
> 11) Box = 0 whites. Total = 1/1024 * (0/10)^10 = 0!!
> So, the chances of drawing 10 whites is the sum of these which is
> 0.013913029625. Approximately. However, we know that we actually drew
> 10 whites, so this 1 in 72 (ish) chance has happened. The chance that
> it happened because we had possibility 1) above is the chance of 1)
> relative to this 0.0139... chance. So, the answer is
> (1/1024)/0.013913029625 which is 0.070190499... i.e. 7%.
> So there!
> RESPONESE TO THIS ANSWER:
> I suggest that the answer you have given is to the question "What is
> the probability of you pulling out 10 white marbles one at a time?"
> The question is, however, "what is the probability of all marbles being
> white(or black)? The answer to that, I believe, is 1/1024, which to
> nearest % is '0'.
> REPLY TO RESPONSE:
> I just re-read it, and I think I got it right. The question is, what is
> the probability of them all being white, given that you randomly
> withdrew and returned 10 white marbles consecutively.
> 38. 2 / 27
> 39. 8 / 3^7 or 4 / 3^27 (two solutions have been offered)
> See an explanation here of 38 and 39 here:
> http://groups.google.com/group/rec.puzzles/msg/8b1875e5406828ff?dmode=source
> 45. -4697
> x = n^3 - n!
> 2^3 = 8, 2! = 2 so 8-2 = 6
> 3^3 = 27, 3! = 6 so 27-6 = 21
> 4^3 = 64, 4! = 24 so 64-24 = 40...
>
> 46. 95,041,567
> the numbers are all products of increasingly large numbers of
> successive primes.
> 2 = 2 (or 2x1?),
> 15 = 3x5,
> 1001 = 7x11x13,
> 215,441 = 17x19x23x29
> and I think the next in the series should be
> 95,041,567 = 31x37x41x43x47.
> 47. 3 (The list is of the digits of pi/4)
> 48. pi^2 r^4 / 2 The hyper-volume of a 4-dimensional hyper-sphere.
Does anyone know of a similar conversation about the Langdon Adult Intelligence Test? I came across it in an old magazine and took it, but it is no longer scored.