RRB Staff Nurse Delhi-2015
Reasoning
Hard

Find the next term in the series: A3B, C7D, E11F, G15H, _______?

Appeared in: RRB Staff Nurse Delhi-2015

Explanation

  • The series follows three independent patterns for the first letter, the number, and the last letter.
  • The first letter follows a +2 alphabetical progression (A, C, E, G, ...), making the next letter 'I'.
  • The number follows a +4 arithmetic progression (3, 7, 11, 15, ...), making the next number 19.
  • The last letter also follows a +2 alphabetical progression (B, D, F, H, ...), making the next letter 'J'.
  • Combining these three patterns gives the next term as I19J.

Why Other Options Were Wrong

  • Option A: The number 20 is incorrect. The numerical pattern is an arithmetic progression with a common difference of 4 (15 + 4 = 19), not 5.
  • Option B: The last letter 'K' is incorrect. The pattern for the last letter is a consistent skip of one letter (+2 positions), so after 'H' comes 'J', not 'K'.
  • Option C: Both the first letter 'J' and the last letter 'K' are incorrect. The patterns are a consistent +2 progression, making the next letters 'I' and 'J' respectively.

Related Visual

Visual explanation — Related Visual
  • Visual 1: Infographic - A flowchart breaking down the alphanumeric term 'A3B' into three separate streams: 'First Letter', 'Number', and 'Last Letter'. Each stream shows its respective pattern (+2, +4, +2) leading to the final combined term 'I19J'.
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Alphanumeric Series Pattern Recognition as background academic context rather than a clinical decision trigger.
  • This question tests logical reasoning and pattern recognition, which are fundamental cognitive skills.
  • In nursing, these skills are crucial for interpreting trends in patient vital signs, recognizing patterns in symptoms, and making quick, logical decisions during patient care.
  • What if the series was A3B, D7E, G11H? The pattern would change. The letters would be progressing by +3 positions (A->D, D->G), and the number would still be +4. The next term would be J15K.
How to Approach the Question
  • First, recognize that the question asks to find the next term in a series of alphanumeric codes.
  • Break down each term into its components: the first letter, the number in the middle, and the last letter.
  • Analyze the pattern for each component separately. Look for arithmetic or geometric progressions for numbers, and consistent jumps (e.g., every other letter, every third letter) for alphabets.
  • For the first letters (A, C, E, G), identify the pattern is skipping one letter (+2 positions). Determine the next letter.
  • For the numbers (3, 7, 11, 15), identify the arithmetic progression (adding 4 each time). Calculate the next number.
  • For the last letters (B, D, F, H), identify the pattern is also skipping one letter (+2 positions). Determine the next letter.
Concept Tested & Keywords
  • Concept Tested: Alphanumeric Series Pattern Recognition
  • Stem keywords: next term, series, A3B, C7D, E11F, G15H
  • Lead-in keywords: Find

Question ID

QgE7KHdDpQikrITQC7VOKX

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