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Question

Three of the following four letter-clusters are alike in a certain way and one is different.

Pick the odd one out.

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

FGJP

Question Analysis: Finding the Odd Letter Cluster

The question asks us to find the letter cluster that is different from the other three based on a certain rule or pattern. We are given four letter clusters: VWZE, TUXC, ABEJ, and FGJP.

Identifying the Pattern in Letter Clusters

To solve this type of verbal reasoning problem, we usually look at the position of each letter in the standard English alphabet (A=1, B=2, ..., Z=26) and see how the letters relate to each other within each cluster. We can examine the differences in the alphabetical positions of consecutive letters.

Analyzing Each Option: Letter Positions and Differences

Let's analyze each letter cluster by noting the alphabetical position of its letters and calculating the difference between consecutive letters:

  • Cluster 1: VWZE
    The letters are V, W, Z, E. Their positions are V(22), W(23), Z(26), E(5).
    Differences:
    From V to W: $23 - 22 = +1$
    From W to Z: $26 - 23 = +3$
    From Z to E: Moving from Z(26) to E(5) involves wrapping around the alphabet. Counting forward from Z: A(1), B(2), C(3), D(4), E(5). This is a jump of $5$ positions. So the difference is $+5$.
    The pattern of differences for VWZE is: $+1, +3, +5$.
  • Cluster 2: TUXC
    The letters are T, U, X, C. Their positions are T(20), U(21), X(24), C(3).
    Differences:
    From T to U: $21 - 20 = +1$
    From U to X: $24 - 21 = +3$
    From X to C: Moving from X(24) to C(3) involves wrapping around. Counting forward from X: Y(25), Z(26), A(1), B(2), C(3). This is a jump of $5$ positions. So the difference is $+5$.
    The pattern of differences for TUXC is: $+1, +3, +5$.
  • Cluster 3: ABEJ
    The letters are A, B, E, J. Their positions are A(1), B(2), E(5), J(10).
    Differences:
    From A to B: $2 - 1 = +1$
    From B to E: $5 - 2 = +3$
    From E to J: $10 - 5 = +5$
    The pattern of differences for ABEJ is: $+1, +3, +5$.
  • Cluster 4: FGJP
    The letters are F, G, J, P. Their positions are F(6), G(7), J(10), P(16).
    Differences:
    From F to G: $7 - 6 = +1$
    From G to J: $10 - 7 = +3$
    From J to P: $16 - 10 = +6$
    The pattern of differences for FGJP is: $+1, +3, +6$.

Comparing the Patterns

Let's put the patterns of differences for each letter cluster side-by-side:

Letter Cluster Pattern of Differences
VWZE $+1, +3, +5$
TUXC $+1, +3, +5$
ABEJ $+1, +3, +5$
FGJP $+1, +3, +6$

Identifying the Odd One Out Letter Cluster

We can see that the letter clusters VWZE, TUXC, and ABEJ all follow the same pattern of differences in letter positions: adding $1$, then adding $3$, then adding $5$.

However, the letter cluster FGJP follows a different pattern: adding $1$, then adding $3$, then adding $6$. The last difference is $+6$ instead of $+5$.

Therefore, FGJP is the letter cluster that is different from the other three, making it the odd one out.

Revision Table: Letter Cluster Analysis

Cluster Letter Positions Differences Pattern
VWZE 22, 23, 26, 5 $+1, +3, +5$ $+1, +3, +5$
TUXC 20, 21, 24, 3 $+1, +3, +5$ $+1, +3, +5$
ABEJ 1, 2, 5, 10 $+1, +3, +5$ $+1, +3, +5$
FGJP 6, 7, 10, 16 $+1, +3, +6$ $+1, +3, +6$

Additional Information: Solving Letter Reasoning Problems

Solving letter series and letter cluster problems often involves understanding the basic structure of the alphabet and looking for mathematical or sequential patterns. Here are some key strategies:

  • Assign numerical values to letters (A=1, B=2, etc.). This converts the problem into a numerical pattern recognition task.
  • Calculate differences between consecutive letters' positions. Look for constant differences, arithmetic progressions, or other numerical sequences.
  • Consider patterns based on vowels and consonants.
  • Look for reverse alphabetical order or alternating patterns.
  • Be mindful of wrap-around from Z back to A when calculating differences.

Practicing a variety of problems helps in recognizing different types of patterns quickly.

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