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.
17 - 246
Understanding Number Analogy and Finding the Odd Pair
In this question, we are given four pairs of numbers. Each pair consists of a number on the left side of a hyphen (-) and a number on the right side. We are told that three of these pairs follow the same logical rule or relation between the two numbers, and we need to identify the pair that does not follow this rule. This type of problem tests our logical reasoning and pattern recognition skills.
Analysing the Logic in Number Pairs
Let's examine the relationship between the numbers in the given pairs to find the underlying logic.
Consider the first few options to find a consistent pattern.
| Option | Number Pair (N - M) | Analysis |
|---|---|---|
| 1 | 11 - 100 | Let's see how 100 relates to 11. $11 - 1 = 10$. $10^2 = 100$. So, it seems $M = (N-1)^2$. |
| 2 | 13 - 144 | Let's test the logic found in option 1. $13 - 1 = 12$. $12^2 = 144$. This fits the logic $M = (N-1)^2$. |
| 3 | 19 - 324 | Let's test the logic again. $19 - 1 = 18$. $18^2 = 324$. This also fits the logic $M = (N-1)^2$. |
Based on the first three pairs, the consistent logic appears to be: the number on the right (M) is the square of the number on the left (N) minus one, i.e., $M = (N-1)^2$.
Checking the Remaining Option
Now, let's check the fourth option using this established logic.
| Option | Number Pair (N - M) | Applying the Logic $M = (N-1)^2$ | Result |
|---|---|---|---|
| 4 | 17 - 246 | For N = 17, the logic suggests M should be $(17-1)^2 = 16^2 = 256$. | The given number is 246, which is not equal to 256. This pair does not follow the logic. |
Identifying the Odd One Out
The first three number pairs (11 - 100, 13 - 144, and 19 - 324) all follow the relation where the second number is the square of one less than the first number. The fourth pair (17 - 246) does not follow this relation, as $(17-1)^2 = 16^2 = 256$, not 246.
Therefore, the odd one out is the pair 17 - 246.
Conclusion
The pair that does not share the same logic or relation as the other three is 17 - 246. This identification is based on the discovered rule $M = (N-1)^2$ which holds true for the other pairs.
Revision Table: Number Pair Logic
| Number Pair | Left Number (N) | Right Number (M) | Calculated (N-1)2 | Follows Logic? |
|---|---|---|---|---|
| 11 - 100 | 11 | 100 | $(11-1)^2 = 10^2 = 100$ | Yes |
| 13 - 144 | 13 | 144 | $(13-1)^2 = 12^2 = 144$ | Yes |
| 19 - 324 | 19 | 324 | $(19-1)^2 = 18^2 = 324$ | Yes |
| 17 - 246 | 17 | 246 | $(17-1)^2 = 16^2 = 256$ | No |
Additional Information on Number Analogy and Reasoning
Number analogy questions are common in reasoning ability tests. They require you to find the relationship between a given pair of numbers and apply that same relationship to another number or set of numbers. In 'odd one out' variations, you apply the relationship to multiple sets to find the one that breaks the pattern.
Common types of relations include:
- Arithmetic operations (addition, subtraction, multiplication, division)
- Squares, cubes, or other powers
- Square roots or cube roots
- Operations involving digits of the number
- Prime numbers, composite numbers, odd/even numbers
- Combinations of the above
Solving these questions effectively involves:
- Carefully observing the numbers and looking for simple relationships first.
- Testing potential relationships on the given pairs.
- Being familiar with squares, cubes, and prime numbers can be very helpful.
- Practicing different types of number series and analogy problems improves speed and accuracy.
Important Questions from Number Based
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Four numbers have been given, out of which three are alike in some manner and one is different. Select the one that is different.
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.
