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)
12311 – 11231
Understanding the Odd One Out Number Pairs Problem
This question asks us to identify the number pair that follows a different logical rule compared to the other three pairs. We are given four pairs, each consisting of two numbers separated by a dash (\(\text{–}\)). We need to analyze the relationship between the two numbers in each pair to find the underlying logic or rule. The note specifies that operations should be performed on the whole numbers, not their individual digits separately, unless the logic involves the position or arrangement of digits within the number.
Analyzing the Number Pairs Logic
Let's examine each number pair carefully to discover the pattern or relation between the first number and the second number.
- Pair 1: 51624 \(\text{–}\) 42615
- Pair 2: 51678 \(\text{–}\) 87615
- Pair 3: 42675 \(\text{–}\) 57624
- Pair 4: 12311 \(\text{–}\) 11231
Observing the pairs, we can see that the digits in the second number seem to be a rearrangement of the digits in the first number for all pairs. Let's test a common logic found in such problems: reversing the digits of the first number to get the second number.
- Pair 1: The first number is 51624. Reversing its digits gives 42615. This matches the second number in Pair 1.
- Pair 2: The first number is 51678. Reversing its digits gives 87615. This matches the second number in Pair 2.
- Pair 3: The first number is 42675. Reversing its digits gives 57624. This matches the second number in Pair 3.
- Pair 4: The first number is 12311. Reversing its digits gives 11321. This does not match the second number in Pair 4, which is 11231.
Based on this analysis, the logic applied in the first three pairs is that the second number is the reverse of the first number. Pair 4 does not follow this reversal logic.
Summarizing the Number Pairs Logic and Relation
We can use a table to clearly show the analysis for each pair:
| Pair | First Number | Second Number | Reverse of First Number | Match? (Logic: Reverse) |
|---|---|---|---|---|
| 1 | 51624 | 42615 | 42615 | Yes |
| 2 | 51678 | 87615 | 87615 | Yes |
| 3 | 42675 | 57624 | 57624 | Yes |
| 4 | 12311 | 11231 | 11321 | No |
Identifying the Odd Number Pair
As shown in the table and the step-by-step analysis, Pairs 1, 2, and 3 all follow the same logic: the second number is the reverse of the first number. Pair 4, however, does not follow this logic, as the reverse of 12311 is 11321, not 11231.
Therefore, Pair 4 (12311 \(\text{–}\) 11231) is the odd one out among the given alternatives.
Revision Table: Key Concepts
| Concept | Description | Relevance to Problem |
|---|---|---|
| Number Pair Relation | How two numbers in a pair are connected by a rule or logic. | Finding this relation is key to solving the problem. |
| Digit Reversal | Creating a new number by writing the digits of the original number in reverse order. | This was the primary logic found in the majority of pairs. |
| Odd One Out | Identifying the element that does not fit the pattern or rule followed by others. | The goal of the question is to find this specific pair. |
Additional Information: Logical Reasoning in Number Series and Pairs
Problems involving number pairs and series are common in logical reasoning sections of various tests. They assess your ability to identify patterns, rules, and relations between numbers. Some common types of rules include:
- Arithmetic operations (addition, subtraction, multiplication, division)
- Squaring, cubing, or taking roots
- Operations based on the digits (sum of digits, product of digits, digit reversal, digit rearrangement)
- Positional changes of digits
- Prime numbers, composite numbers, or specific number sequences
To solve these problems effectively, it's helpful to:
- Look for simple arithmetic relations first.
- Consider operations on the entire number as well as operations or arrangements based on its digits.
- Compare the differences or ratios between numbers in pairs or consecutive numbers in a series.
- Test common patterns like squares, cubes, prime numbers, or sequences like Fibonacci.
- Systematically check potential rules across all given examples to find the consistent logic.
Important Questions from Number Based
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)
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.
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.
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.
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.
