In a certain code language, 'STATE' is written as '38401405' and 'EXILE' is written as '5489245'. How will ‘ARENA’ be written in that language?

Let's examine the coding logic for 'STATE' → '38401405':
Let's find alphabetical positional values of letters:

S=19→19×2=38

T=20→20×2=40

A=1→1 (Vowel kept as positional value)

T=20→20×2=40

E=5→5 (Vowel kept as positional value)
So the rule is: Consonants are multiplied by 2, and Vowels keep their direct positional value.

Let's verify with 'EXILE' → '5489245':

E (Vowel) =5

X (Consonant) =24×2=48

I (Vowel) =9

L (Consonant) =12×2=24

E (Vowel) =5
Stringing them together gives 5489245. The logic is verified.

Now apply this logic to 'ARENA':

A (Vowel) =1

R (Consonant) =18×2=36

E (Vowel) =5

N (Consonant) =14×2=28

A (Vowel) =1

Combining these values yields 1365281.