einstein riddle worksheet

Upload: ramon-yarritu

Post on 25-Feb-2018

218 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/25/2019 Einstein Riddle worksheet

    1/5

    Einstein's Riddle

    The situation

    1. There are 5 houses in fve dierent colors.

    2. In each house lives a person with a dierent nationality, who drink adierent beverage, smoke a dierent brand o cigar and keep adierent pet

    !. "o owners have the same pet, smoke the same brand o cigar ordrink the same beverage.

    Hints

    the #rit lives in the red house

    the $wede keeps dogs as pets

    the %ane drinks tea

    the green house is on the let o the white house

    the green house&s owner drinks coee

    the person who smokes 'all (all has birds

    the owner o the yellow house smokes %unhill

    the man living in the center house drinks milk

    the "orwegian lives in the frst house

    the man who smokes blends lives ne)t to the one who keeps cats

    the man who keeps horses lives ne)t to the man who smokes %unhill

    the owner who smokes #lue(aster drinks beer

    the *erman smokes 'rince

    the "orwegian lives ne)t to the blue house

    the man who smokes blend has a neighbor who drinks water

    The +uestion is Who owns the fsh?

  • 7/25/2019 Einstein Riddle worksheet

    2/5

    -/$0 1 2 ! 5

    "TI"3IT

    4

    3/6

    %6I"7

    I*6

    '0T

    The Deduction

    8ell, we know there are fve houses. 8e&ll assume they&re all in a row,and are numbered rom let to right. 8e know the "orwegian is in the frsthouse

    House #1 #2 #3 #4 #5

    Color 9 9 9 9 9

    Natl "orweg 9 9 9 9

    Bevg 9 9 9 9 9

    Smokes 9 9 9 9 9

    Pet 9 9 9 9 9

    $ince the #rit lives in the red house, the "orwegian can&t. 8e also know

    the "orwegian lives ne)t to the blue house, so his house isn&t blue. 8ealso know that the green house is to the let o the white house: the"orwegian can&t live in the white house since there is no house to the let,and can&t live in the green house because his only neighbor, the one tothe right, is known to live in the blue house. Thereore, the "orwegianlives in the yellow house.

    8e also know the owner o the yellow house smokes %unhill, and that the"orwegian has a neighbor with a blue house ;the "orwegian only has oneneighbor, to the right.and neither are beer? and we know what house=1 smokes >and its not #lue(aster?, the only possibilities are houses =2and =5. 7eep this inormation in mind. $ince it is evident house =1cannot drink beer ;only house =2 or =5 can

  • 7/25/2019 Einstein Riddle worksheet

    4/5

    $ince the %ane drinks tea, he must live in either house =2 or =5. The$wede and *erman could live in house =2, = or =5.

    House #1 #2 #3 #4 #5

    Color 4ellow #lue 6ed *reen 8hite

    Natl "orweg %A$A*9 #rit $A*9 %A$A*9

    Bevg 8ater #AT9 (ilk oee #AT9

    Smokes %unhill #lends 9 9 9

    Pet at9 -orse at9 9 9

    8e know the beer@drinker smokes #lue(aster. The only houses that coulddrink beer are =2 and =5, but since we know that =2 smokes #lends, =5must be the house which drinks beer and smokes #lue(aster, and =2 hasto be the house that drinks tea and the house o the %ane. 8e can

    eliminate the possibility o the %ane&s residence being house =5.

    House #1 #2 #3 #4 #5

    Color 4ellow #lue 6ed *reen 8hite

    Natl "orweg %ane #rit $A*9 $A*9

    Bevg 8ater Tea (ilk oee #eer

    Smokes %unhill #lends 9 9 #lue(

    Pet at9 -orse at9 9 9

    8e know the *erman smokes 'rince. Thereore, he could not live at house=5 and thereore has to live at house =. The $wede must live at house=5: we also know house =5 raises dogs since we know the $wede raisesdogs, and that house = smokes 'rince since the *erman smokes 'rince.

    House #1 #2 #3 #4 #5

    Color 4ellow #lue 6ed *reen 8hite

    Natl "orweg %ane #rit *erman $wedeBevg 8ater Tea (ilk oee #eer

    Smokes %unhill #lends 9 'rince #lue(

    Pet at9 -orse at9 9 %ogs

    The only possibility or house =!&s smokes is 'all (all: all o the others aretaken. 8e know that whoever smokes 'all (all raises birds: so house =!raises birds, and house =1 thereore has cats, since the only houses

    which could have had cats were =1 and =!, and =! has been eliminated.

    House #1 #2 #3 #4 #5

  • 7/25/2019 Einstein Riddle worksheet

    5/5

    Color 4ellow #lue 6ed *reen 8hite

    Natl "orweg %ane #rit *erman $wede

    Bevg 8ater Tea (ilk oee #eer

    Smokes %unhill #lends 'all( 'rince #lue(

    Pet at -orse #irds 9 %ogs

    The only remaining pet is the fsh, which must be owned by the *erman.8e now know who owns the fsh, and have solved the puBBle.

    The completed matri) o data is as ollows

    House #1 #2 #3 #4 #5

    Color 4ellow #lue 6ed *reen 8hite

    Natl "orweg %ane #rit *erman $wede

    Bevg 8ater Tea (ilk oee #eer

    Smokes %unhill #lends 'all( 'rince #lue(

    Pet at -orse #irds Cish %ogs