Odd One Out Analysis: Number Series 28, 44, 68, 80, 92
The task is to find the number in the sequence 28, 44, 68, 80, 92 that doesn't fit the established pattern.
Number Pattern Identification
We investigate the properties of each number:
- All the given numbers (28, 44, 68, 80, 92) are even.
- Let's check if they are multiples of 4:
- $28 \div 4 = 7$
- $44 \div 4 = 11$
- $68 \div 4 = 17$
- $80 \div 4 = 20$
- $92 \div 4 = 23$
- So, all numbers can be expressed in the form $4 \times k$.
Factor Analysis
The values of $k$ are 7, 11, 17, 20, and 23.
Now, we examine the nature of these factors ($k$):
- 7 is a prime number.
- 11 is a prime number.
- 17 is a prime number.
- 20 is a composite number ($20 = 4 \times 5$).
- 23 is a prime number.
Conclusion: Odd Number Out
The pattern observed is that most numbers in the series are 4 multiplied by a prime number.
- 28 = $4 \times 7$ (7 is prime)
- 44 = $4 \times 11$ (11 is prime)
- 68 = $4 \times 17$ (17 is prime)
- 92 = $4 \times 23$ (23 is prime)
- 80 = $4 \times 20$ (20 is composite)
Since 80 is the only number formed by multiplying 4 with a composite number (20), while the others use prime numbers, 80 is the odd one out.
| Number | Form | Factor (k) | Type of Factor |
| 28 | $4 \times k$ | 7 | Prime |
| 44 | $4 \times k$ | 11 | Prime |
| 68 | $4 \times k$ | 17 | Prime |
| 80 | $4 \times k$ | 20 | Composite |
| 92 | $4 \times k$ | 23 | Prime |
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 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.) - 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.) - Four words have been listed, out of which three are alike in some manner and one is different. Select the odd one.
- Four geometric shapes have been listed, out of which three are alike in some manner and one is different. Select the odd one.
- Four parts of the human body are listed, out of which three are alike in some manner and one is different. Select the odd one.
Four words have been given, out of which three are alike in some manner and one is different. Select the odd one.
Valley, Plateau, Glacier, Hill
Four words have been given, out of which three are alike in some manner and one is different. Select the odd one.
Sword, Dagger, Spade, Knife
Four words have been given, out of which three are alike in some manner and one is different. Select the odd one.
Jaipur, Tinsukia, Dehradun, Kohima
Identify the letter-pair that does NOT belong to the following group.
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?
