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 from the rest.
41263 : 18
Understanding the Number Pair Reasoning Problem
In this type of question, we are given a set of number pairs. Three of these pairs follow a specific rule or pattern, while one pair does not. Our task is to identify the pair that is different from the rest by figuring out the common rule.
Analyzing the Given Number Pairs
We have the following four number pairs:
- 41263 : 18
- 77052 : 21
- 26584 : 25
- 85245 : 24
We need to find a relationship between the first number (a five-digit number) and the second number (a two-digit number) in each pair.
Identifying the Pattern in the Number Pairs
Let's examine each pair and try to find a mathematical relationship between the numbers. A common pattern in such reasoning problems involves performing operations on the digits of the first number. Let's try summing the digits of the first number in each pair.
| Number Pair | First Number | Sum of Digits | Second Number | Does Sum of Digits Equal Second Number? |
|---|---|---|---|---|
| 41263 : 18 | 41263 | $\small 4 + 1 + 2 + 6 + 3 = 16$ | 18 | No ($16 \neq 18$) |
| 77052 : 21 | 77052 | $\small 7 + 7 + 0 + 5 + 2 = 21$ | 21 | Yes ($21 = 21$) |
| 26584 : 25 | 26584 | $\small 2 + 6 + 5 + 8 + 4 = 25$ | 25 | Yes ($25 = 25$) |
| 85245 : 24 | 85245 | $\small 8 + 5 + 2 + 4 + 5 = 24$ | 24 | Yes ($24 = 24$) |
From the table above, we can observe the pattern:
- For pairs 2, 3, and 4, the sum of the digits of the first number is equal to the second number in the pair.
- For pair 1 (41263 : 18), the sum of the digits of 41263 is 16, which is not equal to 18.
Identifying the Different Pair
Based on the identified pattern (the second number is the sum of the digits of the first number), the pair that does not follow this rule is 41263 : 18.
Conclusion
The number-pair that is different from the rest is 41263 : 18 because the sum of the digits of the first number (16) does not equal the second number (18), unlike the other three pairs where this pattern holds true.
Revision Table: Key Concepts Reviewed
| Concept | Description |
|---|---|
| Pattern Recognition | Identifying the underlying rule connecting elements in a series or pair. |
| Digit Sum | A common technique in number reasoning problems where digits of a number are added together. |
| Odd One Out | A type of reasoning question where one item in a group is different based on a specific characteristic or rule. |
Additional Information: Types of Number Reasoning Patterns
Number reasoning questions can involve various patterns. Here are a few examples:
- Arithmetic Operations: Adding, subtracting, multiplying, or dividing the numbers or their digits.
- Digit Manipulation: Summing, multiplying, or squaring the digits of a number. Rearranging digits.
- Mathematical Properties: Prime numbers, square numbers, cube numbers, multiples, factors.
- Positional Value: Operations based on the position of digits.
- Sequences: Arithmetic progression, geometric progression, Fibonacci sequence, etc., applied to the numbers or the differences between them.
Solving these problems often requires checking common patterns systematically until the correct one is found.
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.
