Select the option in which the numbers are related in the same way as the numbers of the following set.
(3, 24, 80)
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (15, 63, 99)
Each number of the given set is one less than a perfect square, so look for the set in which all three numbers are one less than a square.
Given set: \(3=2^2-1\), \(24=5^2-1\), \(80=9^2-1\)
(4, 36, 79): 4 and 36 are themselves squares, so they are not one less than a square
(9, 48, 80): \(48=7^2-1\) and \(80=9^2-1\), but \(9+1=10\) is not a square
(15, 63, 99): \(15=4^2-1\), \(63=8^2-1\), \(99=10^2-1\), all three fit
(9, 49, 144): all three are squares themselves (\(3^2\), \(7^2\), \(12^2\)), not one less than a square
So the set related in the same way is (15, 63, 99).