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Question

Find the next two terms in the series.

J, L, O, S, ?, ?

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

X, D

Understanding Letter Series Patterns

Letter series questions test your ability to identify the pattern or rule governing the sequence of letters. To solve these, we often look at the alphabetical position of each letter.

Analyzing the Given Letter Series

The given series is: J, L, O, S, ?, ?

Let's write down the alphabetical position of each letter:

  • J is the 10th letter.
  • L is the 12th letter.
  • O is the 15th letter.
  • S is the 19th letter.

Now, let's find the difference between the positions of consecutive letters in the series:

  • Difference between L and J: $\text{Position of L} - \text{Position of J} = 12 - 10 = +2$
  • Difference between O and L: $\text{Position of O} - \text{Position of L} = 15 - 12 = +3$
  • Difference between S and O: $\text{Position of S} - \text{Position of O} = 19 - 15 = +4$

Identifying the Pattern in the Differences

The differences in positions are +2, +3, +4. This sequence of differences is increasing by 1 each time. This suggests the next differences will be +5, and then +6.

Finding the Next Terms in the Series

Following the identified pattern:

  1. The next difference after +4 should be +5. To find the position of the fifth term, we add this difference to the position of the fourth term (S, position 19).
    Next position = Position of S + 5 = $19 + 5 = 24$.
    The 24th letter in the alphabet is X.
  2. The next difference after +5 should be +6. To find the position of the sixth term, we add this difference to the position of the fifth term (X, position 24).
    Next position = Position of X + 6 = $24 + 6 = 30$.
    Since there are only 26 letters in the alphabet, we cycle back from A. We find the remainder when 30 is divided by 26, or subtract 26 from 30 to see how many positions past Z it goes.
    Effective position = $30 - 26 = 4$.
    The 4th letter in the alphabet is D.

Therefore, the next two terms in the series are X and D.

Conclusion

The series follows a pattern where the difference in alphabetical position between consecutive terms increases by one each time (+2, +3, +4, +5, +6...). Applying this rule, the terms after S are X and D.

Revision Table: Letter Series Pattern

Term Letter Alphabetical Position Difference from Previous Term
1st J 10 -
2nd L 12 $12 - 10 = +2$
3rd O 15 $15 - 12 = +3$
4th S 19 $19 - 15 = +4$
5th X 24 $24 - 19 = +5$
6th D 4 (30 mod 26) $30 - 24 = +6$

Additional Information: Solving Alphabet Series Questions

Alphabet series questions can have various patterns. Here are some common types:

  • Position-based patterns: Like in this question, the pattern relates to the alphabetical position of the letters. The differences might follow an arithmetic progression, geometric progression, or other sequence.
  • Skip-letter patterns: Skipping a fixed number of letters between terms (e.g., A, C, E, G... skipping one letter each time).
  • Reverse alphabetical order: The series moves backward through the alphabet.
  • Combinations: Sometimes letters and numbers are mixed, or there are two interleaved series.
  • Vowel/Consonant patterns: The pattern might relate to whether the letters are vowels or consonants.

Practicing different types of series helps improve pattern recognition skills for logical reasoning and aptitude tests.

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Important Questions from Number Series

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