9 is related to 52 by a certain logic. Using the same logic, 6 is related to…
2026
9 is related to 52 by a certain logic. Using the same logic, 6 is related to 37. To which number is 11 related?
Note: Perform operations on whole numbers without splitting them into constituent digits. For example, operations such as addition, subtraction, or multiplication may be performed on 13 as a whole; do not split 13 into 1 and 3.
Answer: A. 62 — ConceptIn a number analogy, identify one consistent operation that maps every input to its paired output. For two pairs following a linear rule, compare the…
- A.
62
- B.
68
- C.
64
- D.
67
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Correct answer: A
Concept
In a number analogy, identify one consistent operation that maps every input to its paired output.
For two pairs following a linear rule, compare the change in outputs with the change in inputs to find the multiplier, then determine the constant term.
Application
Let the rule be y = ax + b. From 9 → 52 and 6 → 37, subtract the equations: 52 − 37 = a(9 − 6), so 15 = 3a and a = 5.
Use 6 → 37 to find the constant: 37 = 5 × 6 + b, hence b = 7. Therefore the rule is y = 5x + 7.
Apply the rule to 11: y = 5 × 11 + 7 = 55 + 7 = 62.
Cross-check
The rule gives 5 × 9 + 7 = 52 and 5 × 6 + 7 = 37, reproducing both given pairs. Thus 11 is related to 62.