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Problems
1. There are 10 sacs that containcoins.Each sac containsat least10 coinsbutwe don’t
knowexactlythe number.One of themhas bronze coinsandonly bronze coins,howeverthe
resthave goldenonesandonlygoldenones.We know thateach bronze coinweighs9 g and
each golden10 g. Can we tell whichsaccontainsthe bronze onesbyweightingthemjust
once?
2. A cook wantsto prepare 3 burgersusinga grill that fitsonly2. It takesonly5’ to grill each
side of the burger,so he estimatesthatittakes10’ to grill the 2 sidesof the first2 burgers
and another10 to grill the third.Isthere a fasterwayto prepare themall?
3. AndrewandMarie live withtheir12 children.Some of themare fromPeter’sprevious
marriage and some fromMarie’sprevious marriage.Eachone isdirectlyrelatedwith9of
these children.How manychildrendid theyhave together?
4. A censustakercame to a house where amanlivedwith three daughters. "Whatare your
daughters' ages?" he asked. The man replied, "The product of their ages is 36, and the
sum of theirages ismy house number."Butthat'snot enoughinformation,"the censustaker
insisted."All right," answered the farmer, "the oldest plays the piano”.
What are the daughters'ages?
5. The followingseriesof numberscontainsone numberthatdoesnotfitthe patternset by
the others. What numberdoesnotfit? 3, 5, 7, 11, 14, 17
6. At one endof a bridge there are fourpeople thathave onlyone torchlight.There istotal
darknessand they wantto cross the bridge.The bridge withstands justtwopeople. If three
people trytocross it, the bridge will collapse. A can cross the bridge in1 minute. Bcan cross
the bridge intwo minutes. Ccancross the bridge in4 minutesandD withinseven minutes.
How can they cross the bridge within14minutes?
Fragments:
 On each crossing, at least one person should hold the torch to see.
 When marching two together, the time it takes to cross the bridge is the one that
corresponds to slowest person.
 It’snot possible that simultaneously3people cross, because the bridge will collapse.
 It isforbiddentothrowthe torch to somebody.Everytime theyshouldhanditover.
7. Which numbershouldreplace the questionmark?
A. 4
B. 5
C. 6
D. 7
8. Which numbershouldcome nextinthisseries? 3,5,8,13,21,
A. 4 , B. 21 ,C. 31, D. 34
17 8 5 5
13 7 5 4
6 12 6 3
10 6 4 ?
Problems

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Problem solving

  • 1. Problems 1. There are 10 sacs that containcoins.Each sac containsat least10 coinsbutwe don’t knowexactlythe number.One of themhas bronze coinsandonly bronze coins,howeverthe resthave goldenonesandonlygoldenones.We know thateach bronze coinweighs9 g and each golden10 g. Can we tell whichsaccontainsthe bronze onesbyweightingthemjust once? 2. A cook wantsto prepare 3 burgersusinga grill that fitsonly2. It takesonly5’ to grill each side of the burger,so he estimatesthatittakes10’ to grill the 2 sidesof the first2 burgers and another10 to grill the third.Isthere a fasterwayto prepare themall? 3. AndrewandMarie live withtheir12 children.Some of themare fromPeter’sprevious marriage and some fromMarie’sprevious marriage.Eachone isdirectlyrelatedwith9of these children.How manychildrendid theyhave together? 4. A censustakercame to a house where amanlivedwith three daughters. "Whatare your daughters' ages?" he asked. The man replied, "The product of their ages is 36, and the sum of theirages ismy house number."Butthat'snot enoughinformation,"the censustaker insisted."All right," answered the farmer, "the oldest plays the piano”. What are the daughters'ages? 5. The followingseriesof numberscontainsone numberthatdoesnotfitthe patternset by the others. What numberdoesnotfit? 3, 5, 7, 11, 14, 17 6. At one endof a bridge there are fourpeople thathave onlyone torchlight.There istotal darknessand they wantto cross the bridge.The bridge withstands justtwopeople. If three people trytocross it, the bridge will collapse. A can cross the bridge in1 minute. Bcan cross the bridge intwo minutes. Ccancross the bridge in4 minutesandD withinseven minutes. How can they cross the bridge within14minutes? Fragments:  On each crossing, at least one person should hold the torch to see.  When marching two together, the time it takes to cross the bridge is the one that corresponds to slowest person.  It’snot possible that simultaneously3people cross, because the bridge will collapse.  It isforbiddentothrowthe torch to somebody.Everytime theyshouldhanditover. 7. Which numbershouldreplace the questionmark? A. 4 B. 5 C. 6 D. 7 8. Which numbershouldcome nextinthisseries? 3,5,8,13,21, A. 4 , B. 21 ,C. 31, D. 34 17 8 5 5 13 7 5 4 6 12 6 3 10 6 4 ?