Difficulty: Medium
Correct Answer: T20
Explanation:
Introduction / Context:
This is an alphanumeric series question that mixes letters and numbers. The task is to find the systematic relationship between the letters and the numbers and then extend that relationship to identify the missing term. Recognising patterns with both letters and numbers is a standard skill in aptitude tests.
Given Data / Assumptions:
Series given: Z26, X24, V22, ?, ...
Each term has a letter and a two digit number.
We assume standard positions for letters: A is 1, B is 2, and Z is 26.
We must determine both the letter and the number in the missing term.
Concept / Approach:
We should treat letters and numbers separately. For letters, we look at the pattern of their positions in the alphabet. For numbers, we examine the sequence of the numeric values. Once both patterns are identified, we can compute the next letter and number pair. Often, these series share a simple arithmetic pattern such as consistent subtraction or addition.
Step-by-Step Solution:
Step 1: Convert letters to positions: Z is 26, X is 24, V is 22.
Step 2: Observe that 26, 24, and 22 form a sequence where each step decreases by 2. If we continue subtracting 2, the next letter position is 22 minus 2, which equals 20. The letter with position 20 is T.
Step 3: Now look at the numeric part: 26, 24, and 22 again decrease by 2 at each step. So the next number is 22 minus 2 which is 20.
Step 4: Combine the results from steps 2 and 3. The next term has letter T and number 20, so it is T20.
Verification / Alternative check:
We can extend the pattern further for checking. After Z26, X24, V22, we would expect T20, then R18, and so on, always going two letters backward in the alphabet and subtracting 2 from the number. The consistent change for both letters and numbers gives a strong confirmation that T20 is the correct missing term.
Why Other Options Are Wrong:
W23: This increases the letter position from V to W and changes the number in the wrong direction, breaking the clear decreasing pattern.
K15 and J10: These have numbers that do not fit the simple minus two pattern from 26, 24, 22. Their letters also do not follow the backward step of two letters from V to T.
R18: This would be correct for a later term after T20 but not immediately after V22. It represents the term two steps ahead of where we are now.
Common Pitfalls:
One common mistake is to match letter positions with the given numbers and assume a more complex rule than necessary. Another error is to disregard the obvious minus two pattern and try irregular jumps. Always check for the simplest consistent arithmetic pattern first before considering anything more complicated.
Final Answer:
The term that correctly completes the series is T20.
Discussion & Comments