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Reasoning Ability · 3-5 Qs

Alphanumeric Series

Read the notes once, then practise. Every question shows the full solution right after you answer.

Study notes

What is asked

A random series of letters, digits and symbols, e.g. R 4 % T 7 K # 2 M @ 9 B, followed by 3-5 questions. The site generates these with computed answers; use these notes for the method.

Common question types

  • "Which element is 5th to the right of the 9th from the left?"
  • "How many symbols are immediately preceded by a number and immediately followed by a letter?"
  • "If all the symbols are removed, which element will be 6th from the right?"
  • "Four of the following five are alike based on their positions" (e.g. T7K, 2M@, ...: each group skips a fixed number of elements).
  • "What should come next in the series based on the positions: R%7, T K 2 ...?"

Position formula

QuestionFormula (series of N elements)
k-th from leftposition k
k-th from rightposition N - k + 1
a-th to the right of k-th from leftposition k + a
a-th to the left of k-th from rightposition N - k + 1 - a

Convert everything to a position from the left, then count once. Right adds, left subtracts.

Counting conditions

  1. Underline the element type asked about (for example every symbol).
  2. For each underlined element check the neighbour on the stated side ("immediately preceded" = the element just to its left, "immediately followed" = just to its right).
  3. Tick only when both conditions hold.

Worked example

Series: R 4 % T 7 K # 2 M @ 9 B (N = 12). The 9th from the left is M. 2nd to the right of M is position 11, which is 9. The symbols are % (preceded by 4, followed by T), # (preceded by K) and @ (preceded by M). Only % is immediately preceded by a number and immediately followed by a letter, so the count is 1.

Group-based questions

Questions such as "4 % T : 7 # 2 :: K @ B : ?" or "four of the following five groups are alike" are built from positions. Note the position of each element of the first group and find the gap pattern (for example, element, +2, +3). Apply the same gaps to the next group. A quick check: write the positions as numbers (2-3-4, 5-7-8 ...) rather than the elements, and the odd group stands out immediately.

Trap: after "removing" elements, re-write the shortened series before counting. Do not count positions in the original series.

Time target

20-30 seconds per question. Write position numbers above the series once; it pays off across all questions.

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