April ’16 Brain Teasers

1. After a singularly dull lecture that followed a formal dinner, a man walked up to the lecturer and said, “Strikingly unoriginal.  I have a book that has every word of your speech in it, and most people here do, too.”  The lecturer was enraged and demanded proof.  He got it.  How?
2. A boy and a girl born on the same day of the same year with the same parents are not twins.  How is this possible?
3. A given cube has each side doubled to form a new cube.  How does the VOLUME of the new cube relate to the old one?  (Sorry – corrected Monday afternoon 4/11.  I even knew about this typo [proofreader caught it!] and still didn’t get it switched!)
4.  In BT #3 above, how is the surface area of the new cube changed?  (This is what some submitters thought I meant above.)
5.  You have four colored chips – 2 black, 1 yellow, and 1 white.  The are in a horizontal line, left to right.  The white chip is directly to the left of a black chip, and neither black chip is on an end.  How are the colored chips aligned?
6.  See #5.  Same set-up, but the chips are now 2 red, 1 yellow, and 1 green.  The yellow chip is not on an end, and the two ends are different colors.  The red chips are not adjacent, and the green chip is on the far right.  How are the chips aligned now?
7.  This mailing was sent out on 4/25/16.  This is a ‘triple square’ day, as all three entries are perfect squares.   a)  How many triple square days occur this year?  b)  How many of these have all 3 numbers different?  c)  Before 2016, when was the last triple square day?

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