Brain Exercise – June 1

 Puzzles

  1. A toy robot has a three digit electronic display on its front. The only digits it can display are 1,2,3 or a blank space.  Can you work out how many different numbers the robot can display?

  2. In a class of 15 boys, 14 have blue eyes, twelve have black hair, eleven are overweight and ten are tall. Can you work out how many  tall, overweight, black-haired, blue eyed boys there must be?

  3. Indiana Jones is running down a square tunnel, desperately trying to avoid being crushed by a giant round stone that is rolling toward him. The width of the tunnel is just about the same as the diameter of the sphere.  Both are 20 meters.  The end of the tunnel is too far for Jones to reach in time.  Is he doomed?

  4. Each person lives in a state that can be spelled by rearranging the letters of that person’s name.  For example, Roy Kewn lives in New York.  Where do the others live?

      Nora I. Charlton                Colin A. Fair               Dora K. Hatton            Earl Wade

      Hilda D. Rosen          A.K. Barnes             J.R. Sweeney

  1. It takes twelve 50 cent stamps to make a dozen. How many 22 cent stamps does it take to make a dozen?

Cryptogram Quote

Break the code to read the message  by a famous American author.

“ACO RBHDA ILP JEDA BJFEHAILA ACBLK ER INN, IA NOIDA REH GHBAOHD AEPIM, BD AE DAHBF NILKVIKO SNOIL, AE NIM BA TIHO PEGL AE ACO TELO.”

  • OHLODA COJBLKGIM

Answers

  1. Each spot on the robot’s electronic display can either show 1,2, or 3 or be blank. 

        That means it can show three different one-digit numbers: 1,2,3

        Nine different two-digit numbers: 11,12,13,21,22,21,31,32,33

        And 27 different three-digit numbers:             111,112,113,121,122,123,131,132,133,211,212,213,221,222,223,231,232,233,311,312,313,321,322,323,331,332,333  for a total of thirty-nine numbers.

  1. There must be at least two such boys

  2. Because of the size of the sphere, there is quite a bit of safe space where the wall of the tunnel meets the floor. If he squeezes himself   into that space, he can let the stone roll past him and escape. 

  3. Nora I. Charlton lives in North Carolina, Colin A. Fair in California, Dora K. Hatton in North Dakota, Earl Wade in Delaware, Hilda D. Rosen in Rhode Island, A.K. Barnes in Nebraska, and J. R. Sweeney in New Jersey

  4. It takes 12 of anything to make a dozen. 

Cryptogram Quote

“The first and most important thing of all, at least for writers today, is to strip language clean, to lay it bare to the bone.”   Ernest Hemingway