Identify the Odd Letter Sequence
The objective is to find the letter sequence that differs from the others based on an underlying pattern. This pattern is determined by analyzing the differences between the alphabetical positions of consecutive letters.
Letter Position Mapping
First, assign a numerical value to each letter based on its position in the English alphabet (A=1, B=2, ..., Z=26).
The numerical representations of the given sequences are:
- GCXTO: 7, 3, 24, 20, 15
- KGBXS: 11, 7, 2, 24, 19
- RNIEX: 18, 14, 9, 5, 24
- QMHDY: 17, 13, 8, 4, 25
Difference Analysis
Next, calculate the difference between the positional values of each adjacent pair of letters. Using modulo 26 arithmetic helps standardize these differences, accounting for alphabet wrap-around (e.g., Z to A). We use the standard representation where A=0, B=1, ..., Z=25 for modulo calculations.
| Sequence | Positions (A=0) | Differences (mod 26) | Pattern (Negative Rep.) |
|---|---|---|---|
| GCXTO | 6, 2, 23, 19, 14 | (2-6)=22, (23-2)=21, (19-23)=22, (14-19)=21 | -4, -5, -4, -5 |
| KGBXS | 10, 6, 1, 23, 18 | (6-10)=22, (1-6)=21, (23-1)=22, (18-23)=21 | -4, -5, -4, -5 |
| RNIEX | 17, 13, 8, 4, 23 | (13-17)=22, (8-13)=21, (4-8)=22, (23-4)=19 | -4, -5, -4, 19 |
| QMHDY | 16, 12, 7, 3, 24 | (12-16)=22, (7-12)=21, (3-7)=22, (24-3)=21 | -4, -5, -4, -5 |
Conclusion
Three sequences (GCXTO, KGBXS, QMHDY) follow a consistent pattern of differences modulo 26, equivalent to shifts of -4, -5, -4, -5. The sequence RNIEX shows a different pattern of differences (modulo 26 equivalent to -4, -5, -4, 19). Therefore, RNIEX is the odd one out.
Important Questions from Odd Man Out
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. The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.
The same operation(s) are followed in all the given number pairs except one. Find that odd number pair. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Three of the following numbers are alike in a certain way and one is different. Pick the odd one out. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
'डटे रहना' (Persist), 'रुकना' (Endure) से उसी प्रकार संबंधित है, जिस प्रकार 'टालना' (Stall) से __________ 'से संबंधित है।
Identify the figure given in the options which when put in place of ? will logically complete the series.
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