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Question

Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the one that is different.

This question was previously asked in
SSC Selection Post 2021 Question Paper (09-Feb-2022) (Shift-1)
The correct answer is
VYCG

Letter Cluster Reasoning: Identifying the Different Group

The question presents four groups of letters (letter-clusters) and asks us to identify the one group that does not follow the same pattern as the others. We need to find the odd one out.

Analyzing Letter Patterns

To solve this, we will examine the relationship between consecutive letters in each cluster by looking at their positions in the English alphabet.

Alphabet Positions:

  • 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

Cluster Analysis

1. TXBF

Let's find the alphabetical positions:

  • T = 20
  • X = 24
  • B = 2
  • F = 6

Now, let's look at the difference between consecutive letters:

  • T (20) to X (24): $24 - 20 = +4$
  • X (24) to B (2): Since we wrap around the alphabet (Z is followed by A), we calculate this as $(24 + 4) \mod 26 = 28 \mod 26 = 2$. The difference is +4.
  • B (2) to F (6): $6 - 2 = +4$

The pattern for TXBF is +4, +4, +4.

2. MQUY

Alphabetical positions:

  • M = 13
  • Q = 17
  • U = 21
  • Y = 25

Differences between consecutive letters:

  • M (13) to Q (17): $17 - 13 = +4$
  • Q (17) to U (21): $21 - 17 = +4$
  • U (21) to Y (25): $25 - 21 = +4$

The pattern for MQUY is +4, +4, +4.

3. CGKO

Alphabetical positions:

  • C = 3
  • G = 7
  • K = 11
  • O = 15

Differences between consecutive letters:

  • C (3) to G (7): $7 - 3 = +4$
  • G (7) to K (11): $11 - 7 = +4$
  • K (11) to O (15): $15 - 11 = +4$

The pattern for CGKO is +4, +4, +4.

4. VYCG

Alphabetical positions:

  • V = 22
  • Y = 25
  • C = 3
  • G = 7

Differences between consecutive letters:

  • V (22) to Y (25): $25 - 22 = +3$
  • Y (25) to C (3): $(25 + 4) \mod 26 = 29 \mod 26 = 3$. The difference is +4.
  • C (3) to G (7): $7 - 3 = +4$

The pattern for VYCG is +3, +4, +4.

Conclusion

Comparing the patterns:

  • TXBF follows the pattern: +4, +4, +4
  • MQUY follows the pattern: +4, +4, +4
  • CGKO follows the pattern: +4, +4, +4
  • VYCG follows the pattern: +3, +4, +4

Three of the letter clusters (TXBF, MQUY, CGKO) share a common pattern where each letter is 4 positions after the previous one in the alphabet (with wrap-around). The cluster VYCG differs because the first step is +3, not +4.

Therefore, VYCG is the letter cluster that is different.

Letter Cluster Pattern Analysis
Cluster Positions Differences Pattern
TXBF 20, 24, 2, 6 +4, +4, +4 Consistent +4
MQUY 13, 17, 21, 25 +4, +4, +4 Consistent +4
CGKO 3, 7, 11, 15 +4, +4, +4 Consistent +4
VYCG 22, 25, 3, 7 +3, +4, +4 Inconsistent (+3 first)

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Important Questions from Classification

  1. Directions for the following 3 (three) items : consider the given information and answer the three items that follow. 

    A, B, C, D, E, F and G are Lecturers from different cities—Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). 

    Further 1. Lecturer from Kanpur is specialized in Geography 

    2. Lecturer D is from Shillong 

    3. Lecturer C from Delhi is specialized in Sociology 

    4. Lecturer B is specialized in neither History nor Mathematics 

    5. Lecturer A who is specialized in Economics does not belong to Hyderabad 

    6. Lecturer F who is specialized in Commerce belongs to Srinagar 

    7. Lecturer G who is specialized in Statistics belongs to Chennai 

    Who is specialized in Geography?

  2. A, B, C, D, E, F and G are Lecturers from different cities—Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). 

    Further 1. Lecturer from Kanpur is specialized in Geography 

    2. Lecturer D is from Shillong 

    3. Lecturer C from Delhi is specialized in Sociology 

    4. Lecturer B is specialized in neither History nor Mathematics 

    5. Lecturer A who is specialized in Economics does not belong to Hyderabad 

    6. Lecturer F who is specialized in Commerce belongs to Srinagar 

    7. Lecturer G who is specialized in Statistics belongs to Chennai 

    To which city does the Lecturer specialized in Economics belong?

  3. A, B, C, D, E, F and G are Lecturers from different cities—Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). 

    Further 1. Lecturer from Kanpur is specialized in Geography 

    2. Lecturer D is from Shillong 

    3. Lecturer C from Delhi is specialized in Sociology 

    4. Lecturer B is specialized in neither History nor Mathematics 

    5. Lecturer A who is specialized in Economics does not belong to Hyderabad 

    6. Lecturer F who is specialized in Commerce belongs to Srinagar 

    7. Lecturer G who is specialized in Statistics belongs to Chennai 

    Who of the following belongs to Hyderabad?

  4. In a school, there are five teachers A, B, C, D and E. A and B teach Hindi and English. C and B teach English and Geography. D and A teach Mathematics and Hindi. E and B teach History and French. Who teaches maximum numb, of subjects?

  5. How many triangles are there in the given figure?

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