The following two numbers are connected by some relationship:
82 : 9
Identify the suitable pair to which the same relationship is applicable.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 26 : 5
In 82 : 9, the first number is one more than the square of the second: \(82=9^2+1\). The pair must follow the same rule in the same order.
Option (1) 5 : 26 — Incorrect. \(26=5^2+1\), but the numbers are in the reverse order.
Option (2) 6 : 37 — Incorrect. \(37=6^2+1\), again in the reverse order.
Option (3) 35 : 6 — Incorrect. \(6^2+1=37\), not 35.
Option (4) 26 : 5 — Correct. \(26=5^2+1\), with the larger number first, as in 82 : 9.