Difficulty: Easy
Correct Answer: A
Explanation:
Introduction / Context:
Letter-series puzzles typically progress through the alphabet using a repeatable rule based on position numbers. The task is to discover the increment pattern between consecutive letters and apply it to find the next term. Because the alphabet is circular for such puzzles, movement past Z wraps to A. Here the sequence is B, E, I, N, T, and we must determine the next letter.
Given Data / Assumptions:
Concept / Approach:
The cleanest way is to compute successive differences in positions. From B→E is +3, E→I is +4, I→N is +5, and N→T is +6. This forms a clear increasing step pattern of +3, +4, +5, +6. The next step naturally continues as +7. We then add +7 to T. If the sum exceeds 26, we wrap back to the start of the alphabet.
Step-by-Step Solution:
1) Convert letters to positions: B=2, E=5, I=9, N=14, T=20.2) Compute gaps: 5-2=3, 9-5=4, 14-9=5, 20-14=6.3) Extrapolate next gap: +7.4) Add +7 to T's position: 20 + 7 = 27.5) Apply wraparound: 27 maps to 1 (since 27-26=1), which is A.
Verification / Alternative check:
List the cumulative increments explicitly: starting at 2 (B), after +3 we get 5 (E), after +4 we get 9 (I), after +5 we get 14 (N), after +6 we get 20 (T), and after +7 we arrive at 27 which wraps to 1 (A). The arithmetic and wrap rule align without contradiction.
Why Other Options Are Wrong:
S, U, and V do not satisfy the required +7 from T. For example, T→S is backward, T→U is only +1, and T→V is +3, none matching the derived +7 step.
Common Pitfalls:
Forgetting the increasing step pattern or missing the wraparound after Z can lead to an incorrect small-step choice. Another frequent mistake is assuming a constant step size when the data clearly indicates a growing increment.
Final Answer:
A
Discussion & Comments