In a certain code language, ‘WHILE’ is written as ‘2167103’ and ‘DEPTH’ is written as ‘2314186’. How will ‘ROUND’ be written in that language?

The correct option is 161319122.

Let us analyze the pattern used in the given code language by looking at the alphabetical position (positional value) of each letter.

Analysis of 'WHILE':

The positional values of the letters in 'WHILE' are:

W = 23

H = 8

I = 9

L = 12

E = 5

Now, let us subtract 2 from each letter's positional value:

W: 23 - 2 = 21

H: 8 - 2 = 6

I: 9 - 2 = 7

L: 12 - 2 = 10

E: 5 - 2 = 3

Combining these modified values sequentially gives: 2167103, which matches the code provided for 'WHILE'.

Verification with 'DEPTH':

The positional values of the letters in 'DEPTH' are:

D = 4

E = 5

P = 16

T = 20

H = 8

Subtracting 2 from each letter's positional value:

D: 4 - 2 = 2

E: 5 - 2 = 3

P: 16 - 2 = 14

T: 20 - 2 = 18

H: 8 - 2 = 6

Combining these numbers sequentially gives: 2314186, which matches the code provided for 'DEPTH'.

Applying the same logic to 'ROUND':

The positional values of the letters in 'ROUND' are:

R = 18

O = 15

U = 21

N = 14

D = 4

Subtracting 2 from each letter's positional value:

R: 18 - 2 = 16

O: 15 - 2 = 13

U: 21 - 2 = 19

N: 14 - 2 = 12

D: 4 - 2 = 2

Combining these resulting numbers sequentially gives: 161319122.