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UPSC Prelims 2024CSATLogical ReasoningCoding-Decoding

Q77. 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✓ Correct
B. 11240
C. 7920
D. 5940

Detailed Solution

✓ Correct Answer: Option A

Let's analyze the given coding pattern based on the alphabetical positions of the letters: - A=1, B=2, C=3, D=4 For 'ABCD', the code is 24. This can be obtained by multiplying their alphabetical positions: 1 * 2 * 3 * 4 = 24.

- E=5, F=6, G=7, H=8 For 'EFGH', the code is 1680. This can be obtained by multiplying their alphabetical positions: 5 * 6 * 7 * 8 = 30 * 56 = 1680. The pattern is consistent: the code is the product of the alphabetical positions of the letters in the word.

Now, apply this pattern to 'IJKL': - I=9, J=10, K=11, L=12 The code for 'IJKL' will be the product of their alphabetical positions: 9 * 10 * 11 * 12. 9 * 10 = 90 11 * 12 = 132 90 * 132 = 11880.

Therefore, 'IJKL' is written as 11880. This question tests pattern recognition and coding-decoding skills.

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