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In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as (12, 145) and (9, 82). NOTE: Operations should be performed on the whole numbers.

SSC · 2024 · General Intelligence and Reasoning
Question:
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as (12, 145) and (9, 82). NOTE: Operations should be performed on the whole numbers.

Options

(1) (16, 256)
(2) (14, 197)
(3) (22, 483)
(4) (8, 69)
Answer: (2) (14, 197)

Explanation:
Pattern: n² + 1 = second number. 12² + 1 = 145, 9² + 1 = 82, 14² + 1 = 197.

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