Question

Banaras =238
Delhi =168
Patna=?

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 = ?

Based on alphabets ,

we get 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

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

D E L H I  = 4 + 5 + 12 + 8 + 9 = 38

∵ Delhi is coded as 168.

Number of letters = 5

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

Similarly,

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

So number of letters = 5

∴ $= \dfrac{x-52}{5} = 26$

⇒ x - 52 = 130

⇒  x = 182

Hence, PATNA is coded as "182".