Question 28

In a certain code language, STAR is coded as 55 and CUT is coded as 42. How will 'PEN' be coded as in that language?

Solution

Given, STAR is coded as 55 and CUT is coded as 42 in the code language.

The logic here is

S opposite is H $$\longrightarrow\ $$ H = 8

T opposite is G $$\longrightarrow\ $$ G = 7

A opposite is Z $$\longrightarrow\ $$ Z = 26

R opposite is I $$\longrightarrow\ $$ I = 9

STAR $$\longrightarrow\ $$ (8 + 7 + 26 + 9) + 5 = 50 + 5 = 55

C opposite is X $$\longrightarrow\ $$ X = 24

U opposite is F $$\longrightarrow\ $$ F = 6

T opposite is G $$\longrightarrow\ $$ G = 7

CUT $$\longrightarrow\ $$ (24 + 6 + 7) + 5 = 37 + 5 = 42

The code value is the sum of values of opposite letters and 5.

Similarly,

P opposite is K $$\longrightarrow\ $$ K = 11

E opposite is V $$\longrightarrow\ $$ V = 22

N opposite is M $$\longrightarrow\ $$ M = 13

PEN $$\longrightarrow\ $$ (11 + 22 + 13) + 5 = 46 + 5 = 51

$$\therefore\ $$PEN is coded as 51 in the code language.

Hence, the correct answer is Option A


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