SUMMARY: Solutions & Solvers, Jul/Aug ’21 BTs

REMINDERS:  Answers in red.  Solvers (submitted/correct) in blue. (Forgive any omissions, but feel free to inform.) Comments in green. For further elaboration on solutions, please feel free to ask! Consider the complement of any acute angle and the supplement of any obtuse angle.  Is one of those always bigger (which one?) or might they vary?

  1. Consider the complement of any acute angle and the supplement of any obtuse angle.  Is one of those always bigger (which one?) or might they vary? The answer could easily vary, depending on the angles chosen.  Rita Barger, Anita Dixon, Alexis Avis.
  2. Consider any positive rational number and that number’s square root. .  Is one of those always bigger (which one?) or might they vary? The answer could easily vary, depending on the number chosen.  (Square roots between 0 & 1 are bigger than the original number.)  Rita Barger, Anita Dixon, Alexis Avis.
  3. Your father.  Rita Barger, Anita Dixon, Alexis Avis, Dan Felshin, Pat Campbell
  4. Which two whole numbers with a sum of 50 will give the largest product?  Accepted answers of (25 & 25) or (24 & 26), depending on whether you assumed the numbers were distinct).  Rita Barger, Anita Dixon, Alexis Avis, Frank Green.
  5. Two (distinct) numbers are chosen at random from the set (2,3,5,7) and multiplied together.  How many of the possible products are odd?  Three of the (six) possible products are odd. Rita Barger, Anita Dixon, Frank Green
  6. Find the product: (1 – 1/2) * (1 – 1/3) * (1 – 1/4) * . . .  * (1 – 1/10)  1/10.  Anita Dixon
  7. Find the product of all the even integers between -25 and 25. The product is 0 (since 0 is an even integer between -25 and 25).  Rita Barger, Anita Dixon, Frank Green.
  8. If the radius of a circle is tripled, how much is the area of the circle increased?  The area is increased ninefoldRita Barger, Anita Dixon, Alexis Avis.
  9. In a strange house, there are 6 rugs and on each rug sits 6 six-legged tables.  On each table, there are 6 six-legged creatures.  What is the total number of creature legs in this silly story? 1296.  Rita Barger, Anita Dixon, Alexis Avis.
  10. The mean of all the primes between 40 and 50 is subtracted from the median of the same primes.  To two decimal places, what is the absolute value of the answer?  0.67  (The mean is 43.67, the median is 43.) Rita Barger, Anita Dixon, Frank Green.
  11. HELP!!  I thought certain I had added at least one BONUS to the Brain Teasers this time around, but either I never did, or it has disappeared in various revisions.  CAN YOU HELP ME?  Help me solve this riddle (send me the Bonus or let me know it was never there) – and receive credit for this Brain Teaser!!  Apparently I did NOT include a Bonus in this group.  (A first perhaps?)  Anita Dixon, Alexis Avis.
  12. Have you seen the US Post Office’s new stamp??!  Check in out here.  Imagine – a puzzle on a stamp!!  Decipher the message, and get your BT credit! (you can look it up of course, but it’ll be more fun if you don’t.)  More Than Meets the Eye.  (Check out the link.  The answer was cleverly hidden in the caption. 🙂 ).  Frank Green
  13.  I don’t buy this ‘Only for Genius’ stuff.  This one’s not hard – what goes where the ? is?? I took either 25 or 1 (depending on whether your viewed the ? as a product or a factor. Anita Dixon, Alexis Avis, Frank Green.
  14. The number 555,555 can be expressed as the product of two 3-digit numbers.  What is the smaller of those two? 715. Anita Dixon.
  15. Two standard dice are rolled.  What’s the probability (in fraction form) that the sum of the two numbers is prime? 15/36 (= 5/12). Frank Green. Alexis Avis

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