In a certain code language, 'BABE' is coded as '20' and 'EACH' is coded as '34'. What is the code for 'FACT' in the given code language?

The correct answer is 60.

To find the code for the word 'FACT', let us first analyze the pattern used to code the words 'BABE' and 'EACH' based on the alphabetical positions of their letters.

The positional values of the English alphabet letters are:

A = 1, B = 2, C = 3, D = 4, E = 5, F = 6, H = 8, T = 20

Step 1: Analyze the code for 'BABE'

The letters of 'BABE' correspond to the numerical values:

B = 2
A = 1
B = 2
E = 5

Sum of the letter positions:
2 + 1 + 2 + 5 = 10

To get the code 20, multiply the sum by 2:
10 × 2 = 20

Step 2: Analyze the code for 'EACH'

The letters of 'EACH' correspond to the numerical values:

E = 5
A = 1
C = 3
H = 8

Sum of the letter positions:
5 + 1 + 3 + 8 = 17

To get the code 34, multiply the sum by 2:
17 × 2 = 34

Step 3: Apply the same rule to find the code for 'FACT'

The letters of 'FACT' correspond to the numerical values:

F = 6
A = 1
C = 3
T = 20

Sum of the letter positions:
6 + 1 + 3 + 20 = 30

Multiplying the sum by 2:
30 × 2 = 60

Therefore, the code for 'FACT' is 60.