Number operation pattern (7*9*10=8)
Question
If 7 ⊕ 9 ⊕ 10 = 8, 9 ⊕ 11 ⊕ 30 = 5, 11 ⊕ 17 ⊕ 21 = 13, what is the value of 23 ⊕ 4 ⊕ 15?
Options
6
8
13
15
Explanation
Analyze the mathematical arithmetic connecting the given inputs to uncover the pattern for the hidden operator `⊕`: Test sample 1: 7, 9, 10 \rightarrow 8. Add the terms: 7 + 9 + 10 = 26. Divide by the number of elements or manipulate digits: 2 + 6 = 8. Test sample 2: 9, 11, 30 \rightarrow 5. Add the terms: 9 + 11 + 30 = 50. Sum the digits of the result: 5 + 0 = 5. Test sample 3: 11, 17, 21 \rightarrow 13. Add the terms: 11 + 17 + 21 = 49. Sum the digits of the result: 4 + 9 = 13.
The hidden pattern evaluates as the sum of all elements, followed by a digital root operation (sum of the digits of the total). Apply this rule to 23 \oplus 4 \oplus 15: Base sum = 23 + 4 + 15 = 42. Sum of digits = 4 + 2 = 6.
Answer: (a).
Question details
Year
2023
Paper
CSAT
Question
Q24
Section
Logical & Analytical Reasoning
Sub-topic
Symbolic Operations
Type
Sequence & pattern
Difficulty
Medium
Source hint
Pattern recognition
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