Difficulty: Hard
Correct Answer: KIMP
Explanation:
Introduction / Context:
This is a slightly more challenging letter pattern question from the verbal reasoning section. You are given four groups of four letters each: DAEH, KIMP, HEIL and FCGJ. In three of these groups, the letters follow a consistent pattern of movement in the alphabet, while one group breaks that pattern. Your task is to identify the group that does not follow the same set of position changes and mark it as the odd one out.
Given Data / Assumptions:
Concept / Approach:
We map each letter to its numeric position and calculate letter to letter differences across each group. If three groups display the same sequence of differences, for example -3, +4, +3, and one group does not, that group is the odd one out. This approach looks at the internal structure of the letter sequence rather than any external meaning attached to the letters.
Step-by-Step Solution:
Step 1: Analyze DAEH.D = 4, A = 1, E = 5, H = 8. Differences: 4 to 1 = -3, 1 to 5 = +4, 5 to 8 = +3. Pattern: -3, +4, +3.Step 2: Analyze HEIL.H = 8, E = 5, I = 9, L = 12. Differences: 8 to 5 = -3, 5 to 9 = +4, 9 to 12 = +3. Pattern: -3, +4, +3, same as DAEH.Step 3: Analyze FCGJ.F = 6, C = 3, G = 7, J = 10. Differences: 6 to 3 = -3, 3 to 7 = +4, 7 to 10 = +3. Pattern: -3, +4, +3, again matching the first two groups.Step 4: Analyze KIMP.K = 11, I = 9, M = 13, P = 16. Differences: 11 to 9 = -2, 9 to 13 = +4, 13 to 16 = +3. Pattern: -2, +4, +3, which differs in the first step from the others.Step 5: Identify the odd group.Since DAEH, HEIL and FCGJ share the pattern -3, +4, +3, while KIMP has -2, +4, +3, KIMP is the odd group out.
Verification / Alternative check:
If you rewrite each group in numeric form and look only at the differences, the pattern stands out clearly. DAEH becomes 4, 1, 5, 8. HEIL becomes 8, 5, 9, 12. FCGJ becomes 6, 3, 7, 10. In each case, you move three steps back, then four steps forward, then three steps forward. KIMP breaks this symmetry by moving back only two steps in the first transition. This consistent structural mismatch confirms that KIMP is the only group that does not follow the same positional rule.
Why Other Options Are Wrong:
DAEH: Follows the pattern -3, +4, +3 and is consistent with HEIL and FCGJ.HEIL: Again shows -3, +4, +3 between consecutive letters, so it belongs to the main pattern.FCGJ: Also obeys the same pattern and therefore is not the odd group.
Common Pitfalls:
Because the letters look random, some students may try to form meaningful words or focus only on the first and last letters. However, the key to such questions is to compare all internal steps. Another common mistake is to miscount letter positions when subtracting. To avoid this, always write down the numeric positions clearly or double check differences when patterns appear subtle.
Final Answer:
The odd group of letters is KIMP, because its letter to letter difference pattern is -2, +4, +3, while the other three groups all follow the pattern -3, +4, +3.
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