Find the number of squares in the below picture

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In front of you, there are 9 coins. They all look absolutely identical, but one of the coins is fake. However, you know that the fake coin is lighter than the rest, and in front of you is a balance scale. What is the least number of weightings you can use to find the counterfeit coin?

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not-rounded numerals equals 24.

Can you count the number of lines in the below picture?

Find the missing number in the image below.

Two in a corner, one in a room, zero in a house, but one in a shelter. What is it?

How much will a 38° angle measure when looked at under a microscope that magnifies ten times?

Three doctors said that Bill was their brother. Bill says he has no brothers. How many brothers does Bill actually have?