Select the pair in which the numbers are similarly related as in the given pair.
8 : 448 :: ?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 11 : 1210
In the given pair, the second number is the cube of the first minus its square: \(8^3-8^2=512-64=448\). The same rule is tested on each option:
Option (1) 9 : 729 — \(9^3-9^2=729-81=648\), not 729 (729 is only the cube)
Option (2) 7 : 1029 — \(7^3-7^2=343-49=294\), not 1029
Option (3) 6 : 216 — \(6^3-6^2=216-36=180\), not 216 (216 is only the cube)
Option (4) 11 : 1210 — \(11^3-11^2=1331-121=1210\), which fits