Symbolic operation puzzle (7*24=25)
Question
If 724 = 25 and 1216 = 20, then what is 1663 equal to ?
Options
70
66
65
64
Explanation
The operator denotes the hypotenuse of a right-angled triangle where the given numbers are the perpendicular sides. This is a clear pattern of Pythagorean triplets. 7^2 + 24^2 = 49 + 576 = 625 = 25^2. 12^2 + 16^2 = 144 + 256 = 400 = 20^2.
Applying the exact same logic to 16 and 63: 16^2 + 63^2 = 256 + 3969 = 4225. Since sqrt(4225) = 65, the missing number is 65.
Answer: (c).
Question details
Year
2025
Paper
CSAT
Question
Q6
Section
Logical & Analytical Reasoning
Sub-topic
Symbolic Operations
Type
Sequence & pattern
Difficulty
Hard
Source hint
Pattern recognition
Same sub-topic — other years
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