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.
191 : 177
Identifying the Different Number Pair in the Series
The question asks us to identify the number-pair that is different from the other three pairs provided. To do this, we need to find a common pattern or rule that applies to three of the pairs and see which pair does not follow that rule.
Let's examine each number-pair and look for a relationship between the two numbers.
Analyzing the Given Number Pairs
We will calculate the difference between the first number and the second number in each pair:
- Pair 1: 727 : 609
- Calculation: \(727 - 609 = 118\)
- The difference is 118.
- Pair 2: 373 : 255
- Calculation: \(373 - 255 = 118\)
- The difference is 118.
- Pair 3: 191 : 177
- Calculation: \(191 - 177 = 14\)
- The difference is 14.
- Pair 4: 797 : 679
- Calculation: \(797 - 679 = 118\)
- The difference is 118.
The Pattern of Differences
Looking at the differences calculated for each number-pair, we can see a clear pattern:
- Pair 1: Difference = 118
- Pair 2: Difference = 118
- Pair 3: Difference = 14
- Pair 4: Difference = 118
Three out of the four number-pairs (727 : 609, 373 : 255, and 797 : 679) have a difference of 118 between the first and second numbers.
Why 191 : 177 is Different
The number-pair 191 : 177 has a difference of 14, which is different from the difference of 118 found in the other three pairs. Therefore, this pair does not follow the same pattern as the others.
Based on this analysis, the number-pair that is different is 191 : 177.
| Number Pair | Calculation | Difference | Pattern Followed (Difference = 118) |
|---|---|---|---|
| 727 : 609 | \(727 - 609\) | 118 | Yes |
| 373 : 255 | \(373 - 255\) | 118 | Yes |
| 191 : 177 | \(191 - 177\) | 14 | No |
| 797 : 679 | \(797 - 679\) | 118 | Yes |
The pair 191 : 177 is the outlier because the difference between the two numbers is 14, while the difference in all other pairs is 118.
Revision Table: Key Concepts for Number Series
| Concept | Description | How it Applies Here |
|---|---|---|
| Pattern Recognition | Identifying a recurring rule or relationship within a set of numbers or items. | We identified the pattern of a consistent difference (118) between numbers in most pairs. |
| Odd One Out / Classification | Finding the element in a group that does not fit the rule applicable to others. | We found the number-pair (191 : 177) that didn't follow the difference pattern. |
| Numerical Reasoning | Using logical deduction and mathematical operations to solve problems involving numbers. | We used subtraction and comparison to solve this problem. |
Additional Information: Types of Number Patterns
Identifying the pattern is key to solving number series and odd-one-out questions. Common patterns include:
- Arithmetic Progression: A sequence where the difference between consecutive terms is constant (like our difference of 118).
- Geometric Progression: A sequence where the ratio between consecutive terms is constant.
- Squares or Cubes: Numbers are related to squares or cubes of integers.
- Prime Numbers: The sequence or terms involve prime numbers.
- Combination of Operations: Patterns involving addition, subtraction, multiplication, division, sometimes combined with squares, cubes, etc.
- Digit Manipulation: Patterns based on the digits of the numbers themselves (sum of digits, product of digits, reversed digits, etc.).
In this question, the pattern was a simple constant difference, a basic form of arithmetic progression applied to pairs rather than a sequence.
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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.
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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.
