Path: utzoo!mnetor!uunet!husc6!mit-eddie!ll-xn!ames!claris!apple!grady
From: grady@Apple.COM (Grady Ward)
Newsgroups: sci.psychology
Subject: IQ Test Items (HomeMade)
Message-ID: <7743@apple.Apple.Com>
Date: 21 Mar 88 03:26:43 GMT
Reply-To: grady@apple.UUCP (Grady Ward)
Organization: Apple Computer Inc, Cupertino, CA
Lines: 67

The following items have been copied from an homemade untimed IQ test 
that is used for admittance to some of the highest IQ societies.  Please send 
me your responses and I will publish a summary of them (and any 
critiques):

Analogies

1. Night : Day :: Nocturnal : ?
2. Heel : Achilles :: Box : ?
3. Shoe : Cobbler :: Barrel : ?
4. Winter : Hibernate :: Summer : ?
5. Uncertainty : Heisenberg :: Undecideability : ?
6. Billion : Giga- :: Billionth : ?
7. 1/2 : Semi- :: 1 1/2 : ?
8. Lenin : Pseudonymous :: Leningrad : ?
9. Teeth : Hen :: Nest : ?
10. Pain : Rue :: Bread : ?
11. Feel : Palpate :: Listen : ?
12. Water : Aqueous :: Snow : ?
13. Sea : Littoral :: River : ?
14. Thither : Hither :: Trans- : ?
15. Wide : Narrow :: Brachy- : ?
16. Civil : Papal :: Ambassador : ?
17. Black : Yellow :: Melancholic : ?
18. 4-sided polyhedron : Tetrahedron :: 4-dimensional hypercube : ?
19. God : Theology :: Why, if god exists, there is evil : ?
20. 100 : Percentile :: 9 : ?
21. Logic : Sophistical :: Feast : ?
22. Ruthless : Myrmidon :: Imitative : ?
23. Is : Ought :: Ontology : ?
24. 60 : 59 : Neo- : ?

Numerical

37.  If the sum of the infinite series 1/2 + 1/4 + 1/8 + ... is 1, what is the 
sum of the series 1/3 + 1/9 + 1/27 + ... ?

38. There exists a scale for weighing objects.  It consists of a lever resting 
on a fulcrum with weighing pans on each end, equidistant from the fulcrum.  
Suppose the objects to be weighed range in weight from one pound to one 
hundred pounds at one-pound intervals: 1, 2, 3, ... 100.  After placing one 
of these objects in either of the two weighing pans, one or more of a set of 
precalibrated weights are then placed in either or both of the pans until a 
balance is achieved, thus determining the weight of the object.  If the 
relative positions of the lever, fulcrum, and pans may not be changed and if 
one may not employ any but the initial set of precalibrated weights to 
balance an object, what is the minimum number of such precalibrated 
weights sufficient to bring into balance and of the objects to be weighed?

39.  A certain crystal consists of 100,000,000 layers of atoms such that 
there is one atom in the first layer, 3 in the second, 6 in the third, 10 in the 
fourth, and so forth.  Precisely how many atoms are in the entire crystal?  
Do not give an approximate answer, and do not give a formula.

40. To the nearest percent the probability that any one person selected at 
random was born on Monday is 14%.  What is the probability to the nearest 
percent that any of seven persons chosen at random exactly one was born 
on Monday?

Series  (which number should come next?)

43. 15 52 99 144 175 180 147 ?
44. 3 23 229 2869 43531 ?
45. 0 5 8 8 2 3 5 2 9 4 ?
46. 14 21 13 2 5 18 0 19 5 18 9 5 ?
47. 6 8 5 8 4 0 7 3 4 6 ?
48. 1 3 8 22 65 209 732 2780 ?