Question 12

In certain code language, 'FOX' is coded as '108' and 'SOUP' is coded as '148'. How will 'UPSIDE' be coded as in that language?

Solution

For the 'FOX',
[(27 - 6) + (27 - 15) + (27 - 24)] $$\times$$ number of letter
= (21 + 12 + 3) $$\times$$ 3
= 36 $$\times$$ 3 = 108
For the 'Soup',
[(27 - 19) + (27 - 15) + (27 - 21) + (27 - 16)] $$\times$$ number of letter
= (8 + 12 + 6 + 11) $$\times$$ 4
= 37 $$\times$$ 4 = 148
Similarly,
For the 'UPSIDE',
[(27 - 21) + (27 - 16) + (27 - 19) + (27 - 9) + (27 - 4) + (27 - 5)] $$\times$$ number of letter
= (6 + 11 + 8 + 18 + 23 + 22) $$\times$$ 6
= 88 $$\times$$ 6 = 528
$$\therefore$$ The correct answer is option A.


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