Question : Directions: In a code language, VACCINE is written as $\frac{132}{7}$ and MASKS is written as $\frac{72}{5}$. How will SANITIZE be written in that language?
Option 1: $\frac{113}{8}$
Option 2: $\frac{89}{7}$
Option 3: $\frac{113}{7}$
Option 4: $\frac{89}{8}$
Correct Answer: $\frac{113}{8}$
Solution :
Given:
VACCINE is written as $\frac{132}{7}$ and MASKS is written as $\frac{72}{5}$.
The sum of the opposite positional values of all the letters of VACCINE is divided by the number of letters of the word, to obtain the code –
5 + 26 + 24 + 24 + 18 + 13 + 22 = 132 ÷ 7 = $\frac{132}{7}$
And, MASKS is written as $\frac{72}{5}$ –
14 + 26 + 8 + 16 + 8 = 72 ÷ 5 = $\frac{72}{5}$
Similarly, follow the same pattern for SANITIZE –
8 + 26 + 13 + 18 + 7 + 18 + 1 + 22 = 113 ÷ 8 = $\frac{113}{8}$
So, SANITIZE is coded as $\frac{113}{8}$. Hence, the first option is correct.
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