Actually, the most points are awarded for 5X5 puzzles, and being able to solve one in a minute or less takes practice--you begin seeing patterns. If you are new to the site try staying with the 4X4's (usually those with the fastest average completion times and the highest success rates) until you feel more comfortable. Also, everyone has a different method for solving the puzzles. Some look for "The five people were....", or "Of this person and that person..." clues. Once you become more familiar with the way the puzzles work you'll find a method that suits you best.
Good luck
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