Four numbers-pair have been given, out of which three are alike in some manner and is different. Select the number-pair that is different from the rest
28 - 164
Finding the Different Number Pair
This question asks us to identify the number pair that is different from the rest. We are given four pairs of numbers and need to find a common relationship or pattern among three of them, and then spot the one pair that does not follow that pattern.
Analyzing the Given Number Pairs
Let's examine each number pair to see if we can find a mathematical relationship between the first and the second number in each pair.
- Pair 1: 12 - 72
- Pair 2: 19 - 114
- Pair 3: 28 - 164
- Pair 4: 17 - 102
Identifying the Pattern in Number Pairs
Let's test some common relationships like addition, subtraction, multiplication, or division. A simple pattern might be that the second number is a multiple of the first number. Let's check if the second number is obtained by multiplying the first number by a constant value.
- For Pair 1 (12 - 72): Is 72 a multiple of 12? $72 \div 12 = 6$. So, $12 \times 6 = 72$. The relationship is multiplying the first number by 6.
- For Pair 2 (19 - 114): Is 114 a multiple of 19? $114 \div 19 = 6$. So, $19 \times 6 = 114$. This pair also follows the pattern of multiplying the first number by 6.
- For Pair 4 (17 - 102): Is 102 a multiple of 17? $102 \div 17 = 6$. So, $17 \times 6 = 102$. This pair also follows the pattern of multiplying the first number by 6.
It appears that in three of the pairs (Pair 1, Pair 2, and Pair 4), the second number is obtained by multiplying the first number by 6.
Checking the Different Number Pair
Now let's check Pair 3 (28 - 164) against this pattern.
- For Pair 3 (28 - 164): Is 164 a multiple of 28? Let's try multiplying 28 by 6. $28 \times 6 = 168$. The second number in this pair is 164, not 168. So, $164 \div 28$ is not an integer (specifically, $164 \div 28 \approx 5.857$). This pair does not follow the rule of multiplying the first number by 6 to get the second number.
Therefore, the number pair 28 - 164 is different from the other three pairs.
Conclusion on Different Number Pair
The pattern observed in three of the number pairs is that the second number is exactly six times the first number. The pair 28 - 164 does not follow this pattern because $28 \times 6 = 168$, which is not equal to 164.
| Number Pair | Relationship Check (Second Number ÷ First Number) | Pattern |
|---|---|---|
| 12 - 72 | $72 \div 12 = 6$ | Follows ($ \times 6$) |
| 19 - 114 | $114 \div 19 = 6$ | Follows ($ \times 6$) |
| 28 - 164 | $164 \div 28 \approx 5.86$ | Does not follow ($ \times 6$) |
| 17 - 102 | $102 \div 17 = 6$ | Follows ($ \times 6$) |
Revision Table for Number Pair Differences
| Concept | Description | Application in Question |
|---|---|---|
| Odd One Out | Identifying the element that does not fit a pattern observed in others. | Finding the number pair that doesn't follow the $ \times 6 $ rule. |
| Number Series/Analogy | Looking for relationships between numbers or pairs of numbers. | Examining the relationship between the first and second numbers in each pair. |
| Pattern Recognition | Discovering a rule or sequence in a set of data. | Identifying the multiplicative relationship ($ \times 6 $) present in most pairs. |
Additional Information on Number Patterns
Problems involving finding the "odd one out" in number pairs or series often rely on identifying mathematical patterns. These patterns can include:
- Arithmetic progression (adding or subtracting a constant)
- Geometric progression (multiplying or dividing by a constant)
- Squares or cubes of numbers
- Prime numbers
- Specific operations (like sum of digits, product of digits)
- Combinations of operations
To solve these problems, it's helpful to systematically check for simple relationships first (like addition, subtraction, multiplication, division) and then look for more complex patterns if the simple ones don't fit.
Similar Questions
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different. (Any operation on digits is not allowed)
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)
Select the odd group of numbers. (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)
The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair.
The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number-pairs except one. Find that odd number-pair.
Select the number-pair in which the two numbers share a different relationship from that shared by the two numbers in the rest of the number-pairs.
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
Three of the following four number-pairs are alike in a certain way and one is different. Pickthe odd pair out.
Three of the following four numbers are alike in a certain way and one is different. Pick the number that is different from the rest.
Select the option is which the numbers are related in the same way as are the numbers in the given set.
(45, 24, 441)
Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
