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

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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