Q. If in a certain code, ‘ABCD’ is written as 24 and ‘EFGH’ is written as 1680, then how is ‘IJKL’ written in that code?
a) 11880
b) 11240
c) 7920
d) 5940
Correct answer: a) 11880
Question from UPSC Prelims 2024 CSAT Paper
Explanation:
IJKL written in that code
Let’s approach this step-by-step:
1) First, we need to understand the pattern in the given examples:
‘ABCD’ = 24
‘EFGH’ = 1680
2) Let’s look at the alphabetical positions of these letters:
A = 1, B = 2, C = 3, D = 4
E = 5, F = 6, G = 7, H = 8
3) Now, let’s see if there’s a relationship between these positions and the given numbers:
For ‘ABCD’: 1 x 2 x 3 x 4 = 24
For ‘EFGH’: 5 x 6 x 7 x 8 = 1680
4) It seems the code is the product of the alphabetical positions of the letters.
5) Now, for ‘IJKL’:
I = 9, J = 10, K = 11, L = 12
6) So, the code for ‘IJKL’ would be:
9 x 10 x 11 x 12 = 11880
Therefore, the correct answer is a) 11880.