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In a certain code language, the letters in the English alphabet are coded as follows, based on their place values. Each letter with a multi…

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In a certain code language, the letters in the English alphabet are coded as follows, based on their place values. Each letter with a multiple of 2 as place value are given 1 as code, and the ones with a multiple of 3 as place value are given 2 as code, in case of a clash, 1 prevails and the rest of the letters are given 3 as code. Then, what is the code for word COSMETIC?
  • A31133122
  • B22131313
  • C31313131
  • D31122131
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Consider, A = 1, B = 2, C = 3, D = 4, ….. Z = 26.

Multiples of 2: B, D, F, H, …. Z. → Code word = 1

Multiples of 3: C, F, I,… X. → Code word = 2

Multiples of both 2 and 3: F, L, R, X. → Code word = 1

Others: A, E, … Z → Code word = 3

C → 3 → Multiiple of 3 → Code word = 2

O → 15 → Multiple of 3 → Code word = 2

S → 19 → Other → Code word = 3

M → 13 → Other → Code word = 3

E → 5 → Other → Code word = 3

T → 20 → Multiple of 2 → Code word = 1

I → 9 → Multiple of 3 → Code word = 2

C → 3 → Multiple of 3 → Code word = 2.

Hence, code word for COSMETIC is 22333122.