Which of the following numbers, when placed at the sign of interrogation (?) will complete the given pattern?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 130
Read anticlockwise from 2: the numbers are 2, 6, 30, 60, ?, 210. They are the cubes of 1, 2, 3, … with the number added and subtracted in turn, that is, \(n^3+n\) and \(n^3-n\) by turns.
\(1^3+1=2\)
\(2^3-2=6\)
\(3^3+3=30\)
\(4^3-4=60\)
\(5^3+5=130\), the missing number
\(6^3-6=210\)
