The Seven Dwarfs are having breakfast, and Snow White has just poured them some milk. Before drinking, the dwarfs have a ritual. First, Dwarf #1 splits his milk equally among his brothers' mugs (leaving himself with nothing). Then Dwarf #2 does the same with his milk, etc. The process continues around the table, until Dwarf #7 has distributed his milk in this way. (Note that Dwarf #7 is named Dopey!) At the end, each dwarf has exactly the same amount of milk as he started with! If the total amount of milk was 42 ounces.

Q1. how many have empty mugs?
Q2. how many have amount of milk in mug as a prime no.

• as the process starts with the first dwarf#1( all the dwarf have equal amount of milk i.e. 42/7=6 ounces), after first ritual, dwarf#1 is left with 0 once of milk, after 2nd ritual, dwarf 1 and 2 have 1 once of milk and others have 8 ounces of milk, as the process approached, dwarf# 1, #2,#3 have 2 ounces and others have 9 ounces, after 4th ritual, dwarf#1,#2,#3,#4 have 4 ounces and others have 10 ounces, at the end when dwarf#7, repeat the ritual, he is left with 0 ounces and others have 7 ounces of milk.
  Hence the answer is 1 have empty mug , and other 6 people have prime amount of milk
• 7 years agoHelpfull: Yes(6) No(1)
• http://mathcentral.uregina.ca/mp/archives/previous2001/june02sol.html
• 8 years agoHelpfull: Yes(4) No(0)
• This question seems to be wrong...How much did snow white initially poured in each mugs???
  If each dwarf has the same amount of milk at the end, no one will have empty mugs..
• 8 years agoHelpfull: Yes(3) No(0)
• provide the solution then
  
• 8 years agoHelpfull: Yes(3) No(1)
• 1st drawf have 12 ounces of milk
  2nd drawf have 10 ounces of milk
  3rd drawf have 8 ounces of milk
  4th drawf have 6 ounces of milk
  5th drawf have 4 ounces of milk
  6th drawf have 2 ounces of milk
  7th drawf have 0 ounces of milk
• 7 years agoHelpfull: Yes(3) No(0)
• 1. 1mug s empty
  2. 1mug has 2 ounce of milk which is a prime
• 7 years agoHelpfull: Yes(1) No(0)
• In the place of "have" it is "had" asking about amount before ritual.
• 8 years agoHelpfull: Yes(0) No(0)
• Question is ryt..
• 8 years agoHelpfull: Yes(0) No(1)
• initial milk in each mug was 12,10,8,6,4,2,0 ounces, now when we transfer milk from first to remaining all there will be change in sequence of numbers.
• 8 years agoHelpfull: Yes(0) No(0)
• eliminate the numbers from 1 to 68 based on given conditions
  A) ........ Should not be a prime number ?
  There are 19 prime numbers from 1 to 68. So, we are left with 68-19=49 floors
  B) ....... Digit of the floor should not be a prime number ?
  There are 31 numbers like that (excluding prime numbers).
  So, we have 49-31=18 floors to choose
  Again, in this 18 floors we have to take out 1st floor because we are not allowed to select
  Finally, we have 18-1=17 options left
• 7 years agoHelpfull: Yes(0) No(0)