If in a certain code, ‘ABCD’ is written as 24 and ‘EFGH’ is written as 1680, then how is IJKL’ written in that code?

The correct option is 11880.

To understand the logic behind this coding system, we look at the alphabetical positions (A = 1, B = 2, C = 3, D = 4, etc.) of the letters in each given word and find the relationship between these numbers and the coded value.

Let's analyze the first coded word, ‘ABCD’:
The alphabetical positions of the letters are:
A = 1
B = 2
C = 3
D = 4
Multiplying these positions together, we get:
$$1\times 2\times 3\times 4=24$$ This matches the given code of 24 for ‘ABCD’.

Now, let's verify this logic with the second coded word, ‘EFGH’:
The alphabetical positions of the letters are:
E = 5
F = 6
G = 7
H = 8
Multiplying these positions together, we get:
$$5\times 6\times 7\times 8=1680$$ This matches the given code of 1680 for ‘EFGH’. Thus, the coding logic is to multiply the alphabetical position values of all the letters in the word.

Applying this same logic to find the code for ‘IJKL’:
The alphabetical positions of the letters are:
I = 9
J = 10
K = 11
L = 12
Multiplying these positions together, we calculate:
$$9\times 10\times 11\times 12=90\times 132=11880$$ Therefore, ‘IJKL’ is written as 11880 in this code.