Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)
AD - GJ
Alphabetical Order Puzzle Explained
This question challenges us to find the odd one out among four pairs of letter clusters. The pairs are related based on the English alphabetical order, but one pair follows a different rule than the other three. We need to figure out the common pattern and identify the pair that deviates from it.
Letter Cluster Pair Analysis
To solve this, we'll assign numerical positions to each letter in the English alphabet (A=1, B=2, C=3, ..., Z=26). Then, we'll examine the difference between letters within each pair and the relationship between the corresponding letters of the two pairs.
Option 1: DK - HO
- First pair (DK): D is the 4th letter (\(4\)) and K is the 11th letter (\(11\)). The difference is \(11 - 4 = 7\).
- Second pair (HO): H is the 8th letter (\(8\)) and O is the 15th letter (\(15\)). The difference is \(15 - 8 = 7\).
- Relationship between the pairs:
- The first letter D (\(4\)) shifts to H (\(8\)), which is a difference of \(8 - 4 = +4\).
- The second letter K (\(11\)) shifts to O (\(15\)), which is a difference of \(15 - 11 = +4\).
- Pattern observed: The internal difference is \(7\), and the shift between corresponding letters is \(+4\).
Option 2: AD - GJ
- First pair (AD): A is the 1st letter (\(1\)) and D is the 4th letter (\(4\)). The difference is \(4 - 1 = 3\).
- Second pair (GJ): G is the 7th letter (\(7\)) and J is the 10th letter (\(10\)). The difference is \(10 - 7 = 3\).
- Relationship between the pairs:
- The first letter A (\(1\)) shifts to G (\(7\)), which is a difference of \(7 - 1 = +6\).
- The second letter D (\(4\)) shifts to J (\(10\)), which is a difference of \(10 - 4 = +6\).
- Pattern observed: The internal difference is \(3\), and the shift between corresponding letters is \(+6\).
Option 3: QX - UB
- First pair (QX): Q is the 17th letter (\(17\)) and X is the 24th letter (\(24\)). The difference is \(24 - 17 = 7\).
- Second pair (UB): U is the 21st letter (\(21\)) and B is the 2nd letter (\(2\)).
- Relationship between the pairs:
- The first letter Q (\(17\)) shifts to U (\(21\)), which is a difference of \(21 - 17 = +4\).
- The second letter X (\(24\)) shifts to B (\(2\)). When calculating shifts beyond Z (\(26\)), we can use modulo arithmetic. The shift is \((24 + 4) \pmod{26} = 28 \pmod{26} = 2\), which corresponds to B.
- Internal difference for UB (considering wrap-around): \((2 - 21 + 26) \pmod{26} = 7\).
- Pattern observed: The internal difference is \(7\), and the shift between corresponding letters is \(+4\).
Option 4: RY - VC
- First pair (RY): R is the 18th letter (\(18\)) and Y is the 25th letter (\(25\)). The difference is \(25 - 18 = 7\).
- Second pair (VC): V is the 22nd letter (\(22\)) and C is the 3rd letter (\(3\)).
- Relationship between the pairs:
- The first letter R (\(18\)) shifts to V (\(22\)), which is a difference of \(22 - 18 = +4\).
- The second letter Y (\(25\)) shifts to C (\(3\)). Using modulo arithmetic: \((25 + 4) \pmod{26} = 29 \pmod{26} = 3\), which corresponds to C.
- Internal difference for VC (considering wrap-around): \((3 - 22 + 26) \pmod{26} = 7\).
- Pattern observed: The internal difference is \(7\), and the shift between corresponding letters is \(+4\).
Group Pattern Details
Comparing the observations, we find a consistent pattern in options 1, 3, and 4:
- Internal Difference: The gap between the two letters within each pair is consistently \(7\).
- Letter Shift: The shift from the first letter of the first pair to the first letter of the second pair is \(+4\). The same \(+4\) shift applies to the second letters of the pairs (using wrap-around logic for the alphabet).
Odd Letter Pair Identification
Option 2 (AD - GJ) clearly deviates from this established pattern.
- Its internal difference is \(3\), not \(7\).
- The shift between corresponding letters is \(+6\), not \(+4\).
Since options 1, 3, and 4 adhere to the rule (internal difference of \(7\) and a shift of \(+4\)), the pair 'AD - GJ' is the one that does not belong to the group.
Letter Pair Analysis Summary
| Option Pair | Internal Difference | Shift Between Pairs (Rule) | Observed Shift | Fits Pattern? |
|---|---|---|---|---|
| DK - HO | \(7\) | \(+4\) | \(+4\) | Yes |
| AD - GJ | \(3\) | \(+4\) | \(+6\) | No |
| QX - UB | \(7\) | \(+4\) | \(+4\) | Yes |
| RY - VC | \(7\) | \(+4\) | \(+4\) | Yes |
Based on this analysis, 'AD - GJ' is the correct answer as it is the odd one out.
Similar Questions
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)
Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which pair does not belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
- Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
- Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
Important Questions from Classification
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?
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?
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?
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?
How many triangles are there in the given figure?
