Question

banaras is coded as 238 and Delhi is coded as 168 so Patna is coded as?​

Answer 1

PATNA is coded as "182".

Step-by-step explanation:

Given,

If BANARAS is codes as 238, Delhi is coded as 168.

To find, PATNA is codes as = ?

Pattern follow,

$\frac{Coded as city - Sum of letters}{Number of letters}$

Based on alphabets,

A = 1, B = 2, C = 3, ... etc,

B A N A R A S = 2 + 1 + 14 + 1 + 18 + 1 + 19 = 56

Now, number of letters = 7

∵  Banaras is coded as 238

$\frac{238 - 56}{7} = \frac{182}{7} = 26$

D E L H I  = 4 + 5 + 12 + 8 + 9 = 38

∵ Delhi is coded as 168.

Number of letters = 5

$\frac{168 - 38}{5} = \frac{130}{5} = 26$

Similarly,

P A T N A = 16 + 1 + 20 + 14 + 1 = 52

So number of letters = 5

∴ $\frac{x - 52}{5} = 26$

⇒ x - 52 = 130

⇒  x = 182

Hence, PATNA is coded as "182".