Given below are four number-pairs, out of which three are alike in some manner and one is different. Select the number pair which is different. (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 /deleting ‘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)
165 - 150
Understanding the Number Pair Reasoning Question
This question asks us to identify the number pair that does not follow the same rule or pattern as the other three pairs. We are given four pairs of numbers, and the instruction is to perform operations on the whole numbers themselves, not on their individual digits.
We need to examine each number pair and look for a consistent relationship between the first and second number in the pair. Common relationships involve addition, subtraction, multiplication, division, or a combination of these operations.
Analyzing the Given Number Pairs
Let's look at the given pairs and try to find a simple mathematical relationship, such as the difference between the two numbers in each pair.
| Number Pair | Calculation | Difference |
|---|---|---|
| 165 - 150 | \(165 - 150\) | \(15\) |
| 134 - 109 | \(134 - 109\) | \(25\) |
| 77 - 52 | \(77 - 52\) | \(25\) |
| 88 - 63 | \(88 - 63\) | \(25\) |
Identifying the Pattern and the Different Pair
By calculating the difference between the numbers in each pair, we observe the following results:
- Pair 1 (165 - 150): Difference is \(15\).
- Pair 2 (134 - 109): Difference is \(25\).
- Pair 3 (77 - 52): Difference is \(25\).
- Pair 4 (88 - 63): Difference is \(25\).
Three of the number pairs (134 - 109, 77 - 52, and 88 - 63) have the same difference of \(25\) between the first and second number. The remaining pair (165 - 150) has a different difference, which is \(15\).
Therefore, the number pair 165 - 150 is the one that is different from the other three based on the pattern of the difference between the two numbers in the pair.
Revision Table: Key Concepts
| Concept | Description | Relevance to Question |
|---|---|---|
| Odd One Out | Identifying the item that doesn't fit a pattern. | The goal of the question. |
| Number Reasoning | Finding mathematical relationships between numbers. | The method used to solve. |
| Difference | Result of subtracting one number from another. | The specific pattern found in this problem. |
Additional Information: Strategies for Number Reasoning
When solving number reasoning problems like this, consider trying these common strategies:
- Difference: Calculate the difference between the numbers. Is it constant or related in some way?
- Sum: Calculate the sum of the numbers. Is it constant or related?
- Product/Quotient: Look for multiplication or division relationships.
- Squares/Cubes: Are the numbers related to squares or cubes of other numbers?
- Prime/Composite Numbers: Check if the numbers have properties like being prime or composite.
- Digit Properties: Although restricted in this specific problem, sometimes relationships involve the digits (sum of digits, product of digits, etc.).
Always test the simplest patterns first, like addition or subtraction, as they are often the intended solution in basic reasoning questions.
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.
