How Smart Are You Really? Three Questions to Find Out Your IQ

Here is the answer to the question.  What question?  The one that we asked in our review post of Malcolm Gladwell's new book, David and Goliath.

If you answered 10¢, you didn't take the extra minute to think it through.  A good math test taker will always work the problem backwards to determine if he got it right.  In this case, the bat cost $1 more than the ball and together they cost $1.10.  Now that you know the answer was not 10¢, can you come up with the right answer?

This is the type of question you will find on the CRT test.  It is a short IQ test that correlates very well with the much longer tests normally given.  Here are the other questions:

(2) If it takes 5 machines 5 minutes to make 5 widgets, how long would it take
100 machines to make 100 widgets? _____ minutes

(3) 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? _____ days

Hopefully you used what you learned from the first question in evaluating and answering these two.  These answers are way at the bottom of the page.
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(1) 5 cents (not 10)
(2) 5 minutes (not 100)
(3) 47 days (not 24)