professor Shane Frederick IQ test

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Do you have what it take /sci?

- A bat and a ball cost $1.10 in total. The bat costs $1 more than the ball. How much does the ball cost?

- If it takes five machines five minutes to make five widgets, how long would it take 100 machines to make 100 widgets?

- In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?

State your answers, mind you this is an IQ test designed to be short and tricky