Three of the following four number-pairs are alike in a certain way and one is different. Pick the odd one out.
13 : 179
Finding the Odd Number Pair in Reasoning Questions
This type of question, often found in logical reasoning sections, asks you to identify the number pair that does not follow the same rule or pattern as the others. We are given four number pairs and need to find the one that is different.
Analyzing the Number Pairs
Let's look closely at the given pairs:
- 14 : 201
- 13 : 179
- 12 : 149
- 8 : 69
We need to find a mathematical relationship between the first number and the second number in each pair. A common pattern involves squaring the first number or applying a linear operation.
Discovering the Pattern
Let's try squaring the first number and seeing if there is a consistent addition or subtraction to get the second number.
- For the pair 14 : 201: Let the first number be $x=14$. We check $x^2 = 14^2 = 196$. The second number is 201. The difference is $201 - 196 = 5$. So, the pattern could be $x^2 + 5$.
- For the pair 13 : 179: Let $x=13$. We check $x^2 = 13^2 = 169$. The second number is 179. The difference is $179 - 169 = 10$. So, the pattern here is $x^2 + 10$.
- For the pair 12 : 149: Let $x=12$. We check $x^2 = 12^2 = 144$. The second number is 149. The difference is $149 - 144 = 5$. So, the pattern is $x^2 + 5$.
- For the pair 8 : 69: Let $x=8$. We check $x^2 = 8^2 = 64$. The second number is 69. The difference is $69 - 64 = 5$. So, the pattern is $x^2 + 5$.
Identifying the Odd One Out
Based on the analysis:
- 14 : 201 follows the pattern $x^2 + 5$.
- 13 : 179 follows the pattern $x^2 + 10$.
- 12 : 149 follows the pattern $x^2 + 5$.
- 8 : 69 follows the pattern $x^2 + 5$.
Three of the four pairs follow the pattern where the second number is obtained by squaring the first number and adding 5. The pair 13 : 179 does not follow this pattern; it requires adding 10 to the square of the first number.
Therefore, 13 : 179 is the odd one out among the given number-pairs.
| Number Pair ($x : y$) | First Number ($x$) | $x^2$ | Second Number ($y$) | Difference ($y - x^2$) | Pattern |
|---|---|---|---|---|---|
| 14 : 201 | 14 | 196 | 201 | 5 | $x^2 + 5$ |
| 13 : 179 | 13 | 169 | 179 | 10 | $x^2 + 10$ |
| 12 : 149 | 12 | 144 | 149 | 5 | $x^2 + 5$ |
| 8 : 69 | 8 | 64 | 69 | 5 | $x^2 + 5$ |
Revision Table: Key Concepts
| Concept | Description |
|---|---|
| Odd One Out | Identifying the item (number, word, pair, figure) that does not belong to a group based on a common property or rule. |
| Number Pair Reasoning | Finding a relationship between the two numbers in a pair, often involving arithmetic operations, squares, cubes, digits, etc. |
| Pattern Recognition | The ability to identify consistent rules or sequences in a set of data. |
Additional Information: Common Patterns in Number Pairs
Besides squaring and adding/subtracting, number pair questions can use various patterns. Understanding these can help solve similar problems:
- Linear Relationship: $ax + b = y$ (e.g., $3x + 2 = y$)
- Cubes: $x^3 + \text{constant} = y$ or $x^3 - \text{constant} = y$
- Multiplication/Division: $ax = y$ or $x/a = y$
- Sum/Difference of Digits: Operations on the digits of the first number to get the second.
- Prime/Composite Numbers: One number is prime, the other related based on its properties.
- Sequence Based: The numbers might follow a specific sequence rule (e.g., Fibonacci).
Always test simple patterns first, like squares or cubes, before moving to more complex ones.
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)
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.
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.
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
Select the option is which the numbers are related in the same way as are the numbers in the given set.
(45, 24, 441)Select the option in which the numbers are related in the same ways as are the numbers in the given set.
(14, 18, 277)
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.
