7
Let's assume the first day of the month is a Tuesday. Then the fourth Tuesday would be the 22. If Tuesday was the second day of the month it would be the 23 and so on until we have the case of Tuesday being the 7th day of the month and the fourth Tuesday being the 28th. Because there are only 7 days in the week the day can't move any further because the next possible first day of the month is a tuesday again.
It seems to be a lot like the Monty Hall paradox. Not sure it would show up one the GRE. Interesting one though.
Monty Hall problem - Wikipedia, the free encyclopedia
You dont even need a formula for that. Just group them in your head like this:
There are 90 numbers between 11 and 100. Half of them are odd. You can group each odd number with a positive number that is one higher in absolute value
-11/12 -13/14 etc. There are 90/2 = 45 of such pairs and each of these pairs adds +1. So that equals 45. And there is the additional pair -9/10 so the answer is 46.
Edit: Overlooked Minuddin's answer. Never mind. ;)
@quantmaster
The answer for the original powerprep question is C. Try to distribute 7 notes to three people WITHOUT giving one of them 3 and you will see why. It is impossible, hence both colums are equal. Doesn't require aany advanced math.
I own the 2009 Kaplan GRE Guide and today did the first of the quantitative practice sessions on the CD accompanying the book. I got all 30 of them right and am now wondering whether they are just really easy? Anybody's got any insights?