Re: Mensa Test
  By: Roger Nelson to All on Fri Jun 24 2011 07:53 am

 > What is the missing number?
 >
 > 24     1     4     3
 > 18     1     4     1
 > 30     1     4     ?

I'm a bit lost on this one.  But I'll take a wild guess.

Each of the numbers don't seem to have much in common, unless maybe you factor
them.  For instance, factor 24, count the factors backward from 24 4 times,
look at the 1st factor before it, and the answer is 3.

24  1, 2, 3, 4, 6, 8, 12, 24 = fourth factor back 4, 3 is next

18  1, 2, 3, 6, 9, 18 = fourth factor back 2, 1 is next

30  1, 2, 3, 5, 6, 10, 15, 30 = fourth factor back 5, 3 is next

Thus the missing number in the table is 3.

A fourth table entry might be:

36  1, 2, 3, 6, 12, 18, 36 = fourth factor back 3, 2 is next

36  1  4  2

Another example with different "count back" numbers:

24   2  3  3
18   2  3  1
30   2  3  3
36   2  3  2

So, either I got the answer right, or I've invented an entirely new
answer...lol.

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