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.) - 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.) - Given below are four numbers, of which three are alike in some manner and one is different. Choose 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.
- Four words have been given, 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.
- Out of the four vegetables listed, three are alike in some manner and one is different. Select the odd one.
Important Questions from Classification
In the following question, four number pairs are given. In each pair the number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three pairs are similar on basis of same Logic/Rule/Relation.
Select the odd one out from the given alternatives. (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 /subtracting /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 four are alike in a certain way and thus form a group. Which is the one that 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.)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 their 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.)
The following contains two pairs of words which are related to each other in a certain way. Three of the following four word-pairs are alike as these have the same relationship and thus form a group. Which word-pair does NOT belong to that group?
(The words must be considered as meaningful English words and must not be grouped based on the number of letters/number of consonants/vowels in the word)Three of the following four options are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/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.)
