Evaluating data sufficiency to find the exact sum of consecutive integers
Question
If in a certain code, 'ABCD' is written as 24 and 'EFGH' is written as 1680, then how is 'IJKL' written in that code?
Options
11880
11240
7920
5940
Explanation
Map each letter to its standard numerical rank in the alphabet: A=1, B=2, C=3, D=4 E=5, F=6, G=7, H=8 I=9, J=10, K=11, L=12
Test the mathematical relationship on the reference samples:
The encoding rule is the product of the alphabetical positions of all the letters in the word. Apply this logic to compute the value for `IJKL`: Product = 9 × 10 × 11 × 12 Product = 90 × 132 = 11880.
Answer: (a).
Question details
Year
2024
Paper
CSAT
Question
Q77
Section
Data Interpretation & Sufficiency
Sub-topic
Number Properties
Type
Statement-based
Difficulty
Hard
Source hint
Data sufficiency evaluation
Same sub-topic — other years
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