Question

DIRECTIONS for the question: In the following question, a letter-number series is given, with one or more terms missing as shown by (?). Choose the missing term out of the given alternatives.
2Z5, 7Y7, 14X9, 23W11, 34V13, ?

• A. 27U24
• B. 45U15
• C. 47U15
• D. 47V14
• E. 23X7

Hint:

In alphanumeric series: • Break down each term into its constituent parts (e.g., first number, middle letter, last number) and solve them as independent sequences.

Answer 1

The Correct Option is C

Concept:
In an Alphanumeric Series, treat the numbers and letters as separate sequences to identify individual patterns.
Step 1: Analyze the first number sequence. The first numbers are: 2, 7, 14, 23, 34, ? Differences: $7 - 2 = 5$ $14 - 7 = 7$ $23 - 14 = 9$ $34 - 23 = 11$ The differences form an arithmetic progression (5, 7, 9, 11). The next difference is 13. Next number $= 34 + 13 = 47$.
Step 2: Analyze the letter sequence. The letters are: Z, Y, X, W, V, ? These are consecutive letters in reverse alphabetical order. The letter before V is U.
Step 3: Analyze the second number sequence. The second numbers are: 5, 7, 9, 11, 13, ? This is a simple arithmetic progression with a common difference of 2. Next number $= 13 + 2 = 15$.
Step 4: Combine the components. Combining all three parts (47, U, 15) gives the missing term: 47U15. \[ \therefore \text{The correct answer is: 47U15.} \]