Medium
Directions: In each question there is a number series with one term missing shown by question mark (?). This term is one of the alternatives among four numbers given under it. That number is –
4, 27, 16, 125, 36, (?)
Explanation
Explanation
This series contains two separate patterns.
Pattern 1: Odd Positions
1st term = 4
3rd term = 16
5th term = 36
These are:
- 2^2 = 4
- 4^2 = 16
- 6^2 = 36
So, the odd-position terms are the squares of consecutive even numbers.
Pattern 2: Even Positions
2nd term = 27
4th term = 125
These are:
- 3^3 = 27
- 5^3 = 125
The next cube should be:
7^3 =343
PRO TIP
Re-check your working by substituting the answer back into the original question.