In a certain code language, ‘SPIRIT’ is coded as ‘65’ and ‘DENSE’ is coded as ‘83’. How will ‘LOGICAL’ be coded in that language?

Let's look at the positional values of letters or their opposites:
For SPIRIT:
Testbook

Positional values: S(19), P(16), I(9), R(18), I(9), T(20)

Sum = 19+16+9+18+9+20=91. (Not 65).

Let's check opposite positional values:
S → 8, P → 11, I → 18, R → 9, I → 18, T → 7
Sum of opposites = 8+11+18+9+18+7=71. (Not 65).

Let's look at DENSE:

Positional values: D(4), E(5), N(14), S(19), E(5)

Sum = 4+5+14+19+5=47.

Opposite positional values: D → 23, E → 22, N → 13, S → 8, E → 22
Sum of opposites = 23+22+13+8+22=88.

Let's notice the relationships:

For SPIRIT: Sum = 91, Code = 65. Difference = 91−65=26.

For DENSE: Sum of opposites = 88, Code = 83. Difference = 88−83=5 (number of letters?).
Let's see if there's a consonant/vowel logic.
Let's try another approach:
Multiply number of vowels/consonants?
What if DENSE code 83 is simply the sum of opposites minus number of letters? 88−5=83.
Let's check if this works for SPIRIT using standard sum or opposite sum:
If SPIRIT uses standard sum: 91−26=65. Note that 26 is the positional value of Z or random.
What if SPIRIT code 65 is derived from the opposite sum? Opposite sum was 71. 71−6=65 (where 6 is the number of letters in SPIRIT!).
Wow! The rule is: Sum of opposite position values − Number of letters.

Let's verify:

For SPIRIT: Sum of opposites = 71. Number of letters = 6. Code = 71−6=65.

For DENSE: Sum of opposites = 88. Number of letters = 5. Code = 88−5=83.

Both fit perfectly! Now let's calculate for LOGICAL:
Opposite letters of L, O, G, I, C, A, L:

L → O (15)

O → L (12)

G → T (20)

I → R (18)

C → X (24)

A → Z (26)

L → O (15)

Sum of opposite values = 15+12+20+18+24+26+15=130.
Number of letters in LOGICAL = 7.
Code = 130−7=123.