December ’15 Brain Teasers

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3.  Mr. Brown has 6 black gloves and 6 brown gloves in his closet. He blindly picks up some gloves from the closet. What is the minimum number of gloves Mr. Brown will have to pick to be certain to find a pair of gloves of the same color?

4.  I visited a nearby park and watched the kids playing.  I saw that there were a total of 17 bicycles and tricycles. If the total number of wheels was 43, how many tricycles were there?

5.  Man Wrinkle spent one-eighth of his life as a boy, one-fourth as a youth, and one-half as an active man. If Man Wrinkle spent 12 years as an old man, then how many years did he spend as an active man?

6. A young boy gets a new piggy bank for Christmas. He puts one penny into it.  You decide to help.  You ALSO put in one penny and decide to double that amount each day for one week.  (You add 2 cents on Day 2, 4 cents on Day 3, etc.)  At the end of the week, how much money is in the bank?

7. Haretown and Tortoiseville are 81 miles apart. A hare travels at 7 miles per hour from Haretown to Tortoiseville, while a tortoise travels at 2 miles per hour from Tortoiseville to Haretown.If both set out toward each other at the same time, how many miles will the hare have to travel before meeting the tortoise en route?

 8.  A flagpole 9 feet high casts a shadow 3 feet long.  At that same time, how long a shadow would a 24-foot flagpole cast?

 *BONUS*

A certain club has 10 members.  At their last meeting, each member was present, and each member shook hands with every other member.  How many total handshakes were there?

 Submit Answers!  There are NO tests and the answers are NOT graded, so lighten up!  If you want to submit  your answers to any or all of these, PLEASE feel free to do so!!  

You can always do this 3 ways:  1)  Use the Leave A Reply section below (though I may not make it public until after the deadline);   2) reply to (or contact) me directly by e-mail or by replying to any Weekly Sharing; or 3) by using the Contact Form link.   Your anonymity is protected for all formats (but only until submission deadline for the Leave a Reply format. )

Reminder:  Official deadline for  ALL BT submissions in December  is noon, Thursday Dec 31st. (Late submissions accepted if Answer Sheet hasn’t been prepared, but no promises.)  Solutions will appear on Monday, Jan 4.