Question 29

In a certain code language, 'GANT' is coded as '126', and 'PROM' is coded as '186'. How will 'GAIL' be coded in that language?

Solution

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The sum of the place values of the letters within the word is multiplied by 3 to obtain the code.

GANT ==> 3(G+A+N+T) ==> $$3\times(7+1+14+20)$$ ==> $$3\times42$$ ==> 126

PROM ==> 3(P+R+O+M) ==> $$3\times(16+18+15+13)$$ ==> $$3\times62$$ ==> 186

GAIL ==> 3(G+A+I+L) ==> $$3\times(7+1+9+12)$$ ==> $$3\times29$$ ==> 87

So 'GAIL' will be coded as 87 in that language.

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