November 12, 2015
Problem #2

   Albert and Bernard just become friends with Cheryl, 
   and they want to know when her birthday is. 
   Cheryl gives them a list of 10 possible dates.
     May 15		May 16		May 19
     June 17		June 18
     July 14		July 16
     August 14		August 15	August 17

   Cheryl then tells Albert and Bernard separately 
   the month and the day of her birthday respectively.
	Albert:     I don't know when cheryl's birthday is,
                    but I know that Bernard doesn’t know too.
	Bernard:    At first I don'’t know when Cheryl's 
                    birthday is, but I know now.
	Albert:     Then I also know when Cheryl's birthday is.
	
		So, when is Cheryl's birthday?

	Solution #2 

   

November 2, 2015
Problem #1

      Mrs. Vruwink has nine dimes. Eight of them  
      weigh the same amount but one of her nine 
      dimes is heavier than the rest.
      All the nine dimes look exactly identical
      in shape and appearance. You have a balance 
      scale containing 2 trays. You can use the 
      balance twice (Not more than that). Mrs. Vruwink
      wants you to find out which of her nine dimes 
      is the heavier one using the balance only twice.
      Explain how you will find the heavier dime.
    
     

  

Solution #1 Make three groups of 3 pennies: Weigh the first two groups: Option one: Part I:(1st time using the scale) * If the scale balances, then the heavier penny is in the third group. Part II:(2nd time using the scale) Place one penny on the each side of the scale from the third group ( leaving you one penny ) * If the scale balances, then the penny that is not on the scale is penny is the heavier penny. * If the scale doesn't balance then, the heavier penny is the one that weighs more on the scale. Option two: If the first two groups don't balance on the scale then use the heavier group and apply part Part II on the this group.