Understanding the Alphanumeric Series Question

The question asks us to find the missing term in a given alphanumeric series. An alphanumeric series combines both numbers and letters, following a specific logical pattern. To solve this type of question, we need to analyze the numerical part and the alphabetical part of each term separately to identify the underlying patterns.

The given series is: 5E, 7F, 11H, 17K, ?

Let's break down each term into its constituent parts:

• Term 1: Numerical part = 5, Alphabetical part = E
• Term 2: Numerical part = 7, Alphabetical part = F
• Term 3: Numerical part = 11, Alphabetical part = H
• Term 4: Numerical part = 17, Alphabetical part = K
• Term 5: Missing term (?)

Analyzing the Numerical Pattern in the Series

Let's look at the sequence of numbers: 5, 7, 11, 17, ?

We can find the pattern by looking at the difference between consecutive terms:

• Difference between the 2nd and 1st term: \(7 - 5 = 2\)
• Difference between the 3rd and 2nd term: \(11 - 7 = 4\)
• Difference between the 4th and 3rd term: \(17 - 11 = 6\)

The differences are 2, 4, 6. This sequence of differences is an arithmetic progression with a common difference of 2. So, the next difference in this sequence should be \(6 + 2 = 8\).

Therefore, the next number in the original numerical series should be \(17 + 8\).

\(17 + 8 = 25\)

The numerical part of the missing term is 25.

Analyzing the Alphabetical Pattern in the Series

Now let's look at the sequence of letters: E, F, H, K, ?

We can find the pattern by considering the position of each letter in the English alphabet (A=1, B=2, C=3, ..., Z=26).

• E is the 5th letter.
• F is the 6th letter.
• H is the 8th letter.
• K is the 11th letter.

Let's find the difference in positions between consecutive letters:

• Position difference between F and E: Position of F - Position of E = \(6 - 5 = 1\)
• Position difference between H and F: Position of H - Position of F = \(8 - 6 = 2\)
• Position difference between K and H: Position of K - Position of H = \(11 - 8 = 3\)

The differences in positions are 1, 2, 3. This sequence of differences is an arithmetic progression with a common difference of 1. So, the next difference in this sequence should be \(3 + 1 = 4\).

Therefore, the position of the next letter should be the position of K plus 4.

Position of next letter = Position of K + 4 = \(11 + 4 = 15\)

The 15th letter in the English alphabet is O.

The alphabetical part of the missing term is O.

Combining Patterns to Find the Missing Term

By combining the numerical part and the alphabetical part we found:

• Numerical part of the missing term: 25
• Alphabetical part of the missing term: O

The missing term in the series is 25O.

Comparing with the Options

Let's check the given options:

1. P25: Numerical part 25, Alphabetical part P (16th letter). Does not match 25O.
2. Q20: Numerical part 20, Alphabetical part Q (17th letter). Does not match 25O.
3. N20: Numerical part 20, Alphabetical part N (14th letter). Does not match 25O.
4. 25O: Numerical part 25, Alphabetical part O (15th letter). Matches 25O.

The missing term is 25O, which corresponds to option 4.

Revision Table: Alphanumeric Series Analysis

Additional Information: Solving Series Questions

Alphanumeric series questions are common in logical reasoning tests. They test your ability to identify patterns in sequences of numbers and letters.

Key strategies for solving series questions:

• Separate the numerical and alphabetical parts.
• Analyze the numerical sequence: Look for arithmetic progression (constant difference), geometric progression (constant ratio), or patterns in differences or ratios. Square numbers, cube numbers, or prime numbers might also be involved.
• Analyze the alphabetical sequence: Use the position of letters in the alphabet. Look for constant differences in positions, increasing or decreasing differences, or other sequences.
• Look for alternating patterns: Sometimes the pattern might alternate between different rules or affect only alternate terms.
• Combine the patterns: Once the individual patterns for numbers and letters are identified, combine them to predict the next term.
• Check options: Verify if the predicted term matches any of the given options.

Practicing different types of series questions helps in quickly identifying common patterns.