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Question

Find the term which does not fit into the series:

1CV, 5FU, 9IT, 15LS, 17OR

The correct answer is

15LS

Understanding the Alphanumeric Series Pattern

We are given a series of terms: 1CV, 5FU, 9IT, 15LS, 17OR. Each term consists of a number followed by two letters. To find the term that does not fit, we need to analyze the pattern in the numbers, the first letters, and the second letters separately.

Analyzing the Number Pattern

Let's look at the numbers in the series:

1, 5, 9, 15, 17

Let's find the difference between consecutive numbers:

  • From 1 to 5: \(5 - 1 = 4\)
  • From 5 to 9: \(9 - 5 = 4\)
  • From 9 to 15: \(15 - 9 = 6\)
  • From 15 to 17: \(17 - 15 = 2\)

The differences are +4, +4, +6, +2. This number pattern is not consistent.

Analyzing the First Letter Pattern

Let's look at the first letters in the series and their positions in the English alphabet (A=1, B=2, C=3, ...):

C, F, I, L, O

Positions:

3, 6, 9, 12, 15

Let's find the difference between consecutive letter positions:

  • From C (3) to F (6): \(6 - 3 = 3\)
  • From F (6) to I (9): \(9 - 6 = 3\)
  • From I (9) to L (12): \(12 - 9 = 3\)
  • From L (12) to O (15): \(15 - 12 = 3\)

The first letter pattern is consistent: each subsequent letter is 3 positions after the previous one in the alphabet.

Analyzing the Second Letter Pattern

Let's look at the second letters in the series and their positions in the English alphabet:

V, U, T, S, R

Positions:

22, 21, 20, 19, 18

Let's find the difference between consecutive letter positions:

  • From V (22) to U (21): \(21 - 22 = -1\)
  • From U (21) to T (20): \(20 - 21 = -1\)
  • From T (20) to S (19): \(19 - 20 = -1\)
  • From S (19) to R (18): \(18 - 19 = -1\)

The second letter pattern is consistent: each subsequent letter is 1 position before the previous one in the alphabet (or decreases by 1 position).

Identifying the Outlier Term

The letter patterns (+3 for the first letter, -1 for the second letter) are consistent throughout the series. The number pattern (1, 5, 9, 15, 17) is not consistent (+4, +4, +6, +2).

Based on the consistency of the first two steps in the number series (+4, +4) and the consistent letter patterns, it appears the number pattern intended to be +4 at each step, aligning with the progression of letters. Let's see what the terms should be if the number pattern was consistently +4:

  • Starting term: 1CV
  • Next term (add 4 to number, +3 to first letter, -1 to second letter): \(1+4=5\), C+3=F, V-1=U. Expected term: 5FU. (Matches)
  • Next term (add 4 to number, +3 to first letter, -1 to second letter): \(5+4=9\), F+3=I, U-1=T. Expected term: 9IT. (Matches)
  • Next term (add 4 to number, +3 to first letter, -1 to second letter): \(9+4=13\), I+3=L, T-1=S. Expected term: 13LS. (Doesn't match 15LS)
  • Next term (add 4 to number, +3 to first letter, -1 to second letter): \(13+4=17\), L+3=O, S-1=R. Expected term: 17OR. (Matches the number and letters of the last term, assuming the previous term was 13LS)

The expected series following the combined number (+4) and letter (+3, -1) patterns is: 1CV, 5FU, 9IT, 13LS, 17OR.

Comparing this with the given series: 1CV, 5FU, 9IT, 15LS, 17OR.

The term 15LS has the letters LS which fit the pattern following 9IT (I+3=L, T-1=S), but the number is 15 instead of the expected 13.

Therefore, the term 15LS does not fit the established pattern.

Term Number First Letter (Position) Second Letter (Position) Observation
1CV 1 C (3) V (22) Starting point
5FU 5 F (6) U (21) +4 from 1, +3 from C, -1 from V. Fits.
9IT 9 I (9) T (20) +4 from 5, +3 from F, -1 from U. Fits.
15LS 15 L (12) S (19) +6 from 9 (Expected +4 = 13). +3 from I, -1 from T. Letters fit, Number doesn't fit +4 pattern.
17OR 17 O (15) R (18) +2 from 15 (Expected +4 from 13 = 17). +3 from L, -1 from S. Fits if previous number was 13.

The term that breaks the consistent pattern is 15LS because its number does not follow the +4 progression established by the first three terms, while its letters do follow the expected pattern after 9IT.

Revision Table: Alphanumeric Series Analysis

Element Pattern Observed Consistency
Number +4, +4, +6, +2 Inconsistent
First Letter Position +3, +3, +3, +3 Consistent
Second Letter Position -1, -1, -1, -1 Consistent

Based on the analysis, the term 15LS is the one that does not fit the pattern where the number should ideally increment by 4 following the consistent letter sequences.

Additional Information: Series and Pattern Recognition

Series and pattern recognition questions are common in logical reasoning tests. These can involve:

  • Number Series: Finding the pattern in a sequence of numbers (arithmetic progression, geometric progression, squares, cubes, alternate patterns, etc.).
  • Letter Series: Finding the pattern in a sequence of letters (alphabetical position, skip letter counts, sequence of consonant/vowels, etc.).
  • Alphanumeric Series: Combining patterns of numbers and letters. The patterns for numbers and letters might be independent or linked.
  • Mixed Series: Series involving symbols, images, or a combination of different elements following a logical rule.

To solve these problems, carefully observe the relationship between consecutive elements. Look for differences, ratios, skipped items, or positions in a standard sequence like the alphabet.

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Important Questions from Series

  1. Choose the missing term in the series from the options given below: J2AZ, M4BY, L6CX, O8DW, ?, Q12FU

  2. What number should replace the question mark?

    (A) 72 : 8

    (B) 156 : 12

    (C) 272 : 16

    (D) 600 : ?

    Choose the most appropriate answer:

  3. Find the 50th term of the A.P. 5, 11, 17, 23, ___?

  4. 19th term of the A.P.: 10, 7, 4, ….. is

  5. Find the next term in the alphanumeric series: C4X, F9U, I16R?

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