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
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.