Question 31

If in a code language PATNA is coded as 260 and GOA is coded as 69, then how will you code RANCHI?

Solution

Given, PATNA is coded as 260 and GOA is coded as 69 in the code language

P + A + T + N + A = 16 + 1 + 20 + 14 + 1 = 52 $$\longrightarrow\ $$ 52 x 5 = 260

G + O + A = 7 + 15 + 1 = 23 $$\longrightarrow\ $$ 23 x 3 = 69

The logic for the code is sum of the numbers of the letters is multiplied by number of letters of the word

Similarly,

R + A + N + C + H + I = 18 + 1 + 14 + 3 + 8 + 9 = 53 $$\longrightarrow\ $$ 53 x 6 = 318

$$\therefore\ $$RANCHI is coded as 318 in the code language

Hence, the correct answer is Option A


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