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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

GET

Identifying the Odd Letter Cluster Out

This question asks us to find the letter cluster that does not follow the same pattern as the other three. We are given four letter clusters: EBV, GET, BYY, and JGQ.

To solve this type of reasoning question, we often look for patterns related to the position of letters in the English alphabet. Let's assign numerical values to each letter based on its position (A=1, B=2, ..., Z=26).

Letter Position
A 1
B 2
C 3
D 4
E 5
F 6
G 7
H 8
I 9
J 10
K 11
L 12
M 13
N 14
O 15
P 16
Q 17
R 18
S 19
T 20
U 21
V 22
W 23
X 24
Y 25
Z 26

Let's find the positions of the letters in each cluster:

  • EBV: E is 5th, B is 2nd, V is 22nd. Positions: 5, 2, 22.
  • GET: G is 7th, E is 5th, T is 20th. Positions: 7, 5, 20.
  • BYY: B is 2nd, Y is 25th, Y is 25th. Positions: 2, 25, 25.
  • JGQ: J is 10th, G is 7th, Q is 17th. Positions: 10, 7, 17.

Analyzing the Pattern in Letter Positions

Let's look at the relationship between the letter positions within each cluster. A common pattern involves the difference between consecutive letters.

  • EBV:
    • Difference between 1st and 2nd letter: Position of E - Position of B = \(5 - 2 = 3\).
    • Difference between 2nd and 3rd letter: Position of B - Position of V = \(2 - 22 = -20\). Considering cyclic order (A follows Z), this is \(2 - 22 + 26 = 6\).
    • The differences are 3 and 6 (or -20).
  • GET:
    • Difference between 1st and 2nd letter: Position of G - Position of E = \(7 - 5 = 2\).
    • Difference between 2nd and 3rd letter: Position of E - Position of T = \(5 - 20 = -15\). Considering cyclic order, this is \(5 - 20 + 26 = 11\).
    • The differences are 2 and 11 (or -15).
  • BYY:
    • Difference between 1st and 2nd letter: Position of B - Position of Y = \(2 - 25 = -23\). Considering cyclic order, this is \(2 - 25 + 26 = 3\).
    • Difference between 2nd and 3rd letter: Position of Y - Position of Y = \(25 - 25 = 0\).
    • The differences are 3 and 0 (or -23).
  • JGQ:
    • Difference between 1st and 2nd letter: Position of J - Position of G = \(10 - 7 = 3\).
    • Difference between 2nd and 3rd letter: Position of G - Position of Q = \(7 - 17 = -10\). Considering cyclic order, this is \(7 - 17 + 26 = 16\).
    • The differences are 3 and 16 (or -10).

Identifying the Odd One Out

Let's summarize the difference between the positions of the first and second letters for each cluster:

  • EBV: \(5 - 2 = 3\)
  • GET: \(7 - 5 = 2\)
  • BYY: \(2 - 25 = -23 \Rightarrow 2 - 25 + 26 = 3\) (Cyclic)
  • JGQ: \(10 - 7 = 3\)

We can see that in EBV, BYY, and JGQ, the difference between the position of the first letter and the second letter is 3 (considering cyclic order where necessary). However, in GET, the difference is 2.

The pattern followed by three of the letter clusters is that the second letter's position is 3 less than the first letter's position (or equivalent in cyclic order). The cluster GET does not follow this pattern.

Conclusion

Based on the pattern observed in the differences between the positions of the first and second letters, GET is the odd one out.

The final answer is GET.

Revision Table: Letter Cluster Analysis

Cluster Letter Positions Difference (1st to 2nd) Difference (2nd to 3rd) Pattern Match (1st to 2nd diff = 3?)
EBV 5, 2, 22 \(5 - 2 = 3\) \(2 - 22 = -20 \equiv 6\) Yes
GET 7, 5, 20 \(7 - 5 = 2\) \(5 - 20 = -15 \equiv 11\) No
BYY 2, 25, 25 \(2 - 25 = -23 \equiv 3\) \(25 - 25 = 0\) Yes
JGQ 10, 7, 17 \(10 - 7 = 3\) \(7 - 17 = -10 \equiv 16\) Yes

Additional Information: Solving Letter Reasoning Questions

Letter reasoning questions, including odd one out puzzles, often rely on understanding the structure and properties of the English alphabet. Here are some common patterns to look for:

  • Alphabetical Position: The most frequent pattern involves the numerical position of letters (A=1, B=2, ...). Look for sums, differences, products, or sequences based on these numbers.
  • Vowels and Consonants: The pattern might distinguish between vowels (A, E, I, O, U) and consonants.
  • Reverse Alphabetical Order: Sometimes letters are assigned positions in reverse order (Z=1, Y=2, ...).
  • Opposite Letters: Pairs of letters whose positions sum to 27 (A and Z, B and Y, C and X, etc.).
  • Skipping Letters: Patterns might involve skipping a fixed number of letters between consecutive letters in the cluster (e.g., +2, +3, -1, etc., applied consistently).
  • Symmetry or Repetition: Some patterns might involve repeated letters or a symmetrical arrangement of letters.

When tackling these problems, it's helpful to write down the letter positions and calculate differences, sums, or other simple mathematical relationships to see if a consistent rule emerges among most options, while one option deviates.

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