Correct option is D
Given:
Series: UCK-4, WFO-9, YIS-19, ALW-39, ?
Formula Used:
Observe the pattern in the letters and numbers separately to identify the logic of progression.
Solution:
1. For the letters:
- The first letter sequence: U, W, Y, A. This sequence progresses by skipping one letter forward each time:
- U (skip V) -> W
- W (skip X) -> Y
- Y (skip Z) -> A
- The next letter would be C (skip B)
- The second letter sequence: C, F, I, L. This sequence increases by 3 positions each time:
- C + 3 -> F
- F + 3 -> I
- I + 3 -> L
- The next letter would be O (L + 3)
- The third letter sequence: K, O, S, W. This sequence increases by 4 positions each time:
- K + 4 -> O
- O + 4 -> S
- S + 4 -> W
- The next letter would be A (W + 4)
- Therefore, the next term for letters is COA
2. For the numbers:
- The sequence of numbers is 4, 9, 19, 39
- The difference between the terms is increasing as follows:
- 9 - 4 = 5
- 19 - 9 = 10
- 39 - 19 = 20
- Each difference is multiplied by 2 as we move forward.
- The next difference would be 40 (20 * 2)
- So, the next number is 39 + 40 = 79
Therefore, the answer is COA-79