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Ditentukan huruf berbeda untuk menyatakan bilangan...

Ditentukan huruf berbeda untuk menyatakan bilangan asli yang berbeda. Nilai sebuah kata oleh hasil perkalian bilangan-bilangan yang diwakili huruf-hurufnya.

Diketahui straight A equals 17 comma straight U equals 1, dan begin mathsize 14px style straight K equals 11 end style sehingga begin mathsize 14px style AKU equals 187 end style. Jika nilai kata begin mathsize 14px style BUKU equals 77 comma space OBAT equals 714 end styledan begin mathsize 14px style KUNO equals 165 end style, nilai kata begin mathsize 14px style BATUK end style adalah ....

  1. begin mathsize 14px style 2.618 end style 

  2. begin mathsize 14px style 1.155 end style 

  3. begin mathsize 14px style 770 end style 

  4. begin mathsize 14px style 510 end style 

Jawaban:

Diketahui

table attributes columnalign right center left columnspacing 0px end attributes row straight A equals 17 row straight U equals 1 row straight K equals 11 row AKU equals 187 row BUKU equals 77 row OBAT equals 714 row KUNO equals 165 end table

Hubungan AKU dengan A, K, dan U

table attributes columnalign right center left columnspacing 0px end attributes row AKU equals 187 row cell straight A cross times straight K cross times straight U end cell equals 187 row cell 17 cross times 11 cross times 1 end cell equals 187 row 187 equals 187 end table  

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row BUKU equals 77 row cell straight B cross times straight U cross times straight K cross times straight U end cell equals 77 row cell straight B cross times 1 cross times 11 cross times 11 end cell equals 77 row cell 11 straight B end cell equals 77 row straight B equals cell 77 over 11 end cell row straight B equals 7 end table end style 

 

table attributes columnalign right center left columnspacing 0px end attributes row OBAT equals 714 row cell straight O cross times straight B cross times straight A cross times straight T end cell equals 714 row cell straight O cross times 7 cross times 17 cross times straight T end cell equals 714 row cell straight O cross times 119 cross times straight T end cell equals 714 row cell straight O cross times straight T end cell equals cell 714 over 119 end cell row cell straight O cross times straight T end cell equals 6 row blank blank blank end table  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row KUNO equals 165 row cell straight K cross times straight U cross times straight N cross times straight O end cell equals 165 row cell 11 cross times 1 cross times straight N cross times straight O end cell equals 165 row cell 11 cross times straight N cross times straight O end cell equals 165 row cell straight N cross times straight O end cell equals cell 165 over 11 end cell row cell straight N cross times straight O end cell equals 15 end table end style 

 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight O cross times straight T end cell equals 6 row cell 3 cross times 2 end cell equals 6 row straight O equals 3 end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight N cross times straight O end cell equals 15 row cell 5 cross times 3 end cell equals 15 row straight O equals 3 end table end style 

begin mathsize 14px style straight O equals 3 comma space straight T equals 2 end style dan begin mathsize 14px style straight N equals 5 end style 

Maka nilai dari kata begin mathsize 14px style BATUK end style adalah

table attributes columnalign right center left columnspacing 0px end attributes row BATUK equals cell straight B cross times straight A cross times straight T cross times straight U cross times straight K end cell row blank equals cell 7 cross times 17 cross times 2 cross times 1 cross times 11 end cell row blank equals cell 2.618 end cell end table 

Jadi, jawaban yang tepat adalah A.

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