Question
Select the option that is related to the fifth number
in the same way as the second number is related to the first number and the fourth number is related to the third number. 121 : 169 :: 289 : 361 :: 441 : ?Solution
Each pair consists of two perfect squares where the second base is the 2nd succeeding integer (adding 2) to the first base. (121 : 169) → 11² = 121, 11 + 2 = 13 → 13² = 169. (289 : 361) → 17² = 289, 17 + 2 = 19 → 19² = 361. (441 : ?) → 21² = 441, 21 + 2 = 23 → 23² = 529.
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