Find the odd number/letters from the given alternatives.
841
This question asks us to identify the odd number or letters from the given alternatives. We are provided with four numbers: 626, 841, 962, and 1090. To find the odd one out, we need to look for a pattern or property that applies to three of the numbers but not to the fourth one.
Analyzing the Given Numbers
The given numbers are:
- 626
- 841
- 962
- 1090
We can examine different properties of these numbers to find the odd one. Let's consider some common patterns like even/odd, prime/composite, sum of digits, or if they are perfect squares.
Checking for Perfect Squares
Let's check if any of these numbers are perfect squares (a number that is the square of an integer). We can do this by taking the square root of each number.
For 626:
\(\sqrt{626} \approx 25.02\)
This is not an integer. So, 626 is not a perfect square.
For 841:
\(\sqrt{841} = 29\)
This is an integer (29). So, 841 is a perfect square (\(29 \times 29 = 841\)).
For 962:
\(\sqrt{962} \approx 31.01\)
This is not an integer. So, 962 is not a perfect square.
For 1090:
\(\sqrt{1090} \approx 32.09\)
This is not an integer. So, 1090 is not a perfect square.
Identifying the Odd Number
Based on our analysis, we found that:
- 626 is not a perfect square.
- 841 is a perfect square (\(29^2\)).
- 962 is not a perfect square.
- 1090 is not a perfect square.
The property "being a perfect square" applies only to 841 among the given numbers. The other three numbers (626, 962, 1090) are not perfect squares.
Therefore, 841 is the odd number out as it is the only perfect square in the list.
Conclusion
The odd number among the given alternatives is 841 because it is the only perfect square. The other numbers are not perfect squares.
| Number | Is it a perfect square? | Square Root |
|---|---|---|
| 626 | No | \(\approx 25.02\) |
| 841 | Yes | \(29\) |
| 962 | No | \(\approx 31.01\) |
| 1090 | No | \(\approx 32.09\) |
Revision Table: Odd Number Reasoning
Understanding how to find the odd one out is a key skill in logical reasoning questions. Reviewing the common methods helps.
| Method | Description | Example Application |
|---|---|---|
| Even/Odd | Check if numbers are even or odd. | If one number is odd and others are even. |
| Perfect Squares/Cubes | Check if numbers are squares or cubes of integers. | If one number is a perfect square/cube and others are not. |
| Prime/Composite | Check if numbers are prime or composite. | If one number is prime and others are composite. |
| Sum of Digits | Calculate the sum of digits for each number. | Look for a pattern in the sum of digits. |
| Divisibility Rules | Check divisibility by specific numbers (e.g., 3, 5, 10). | If one number follows a rule that others don't. |
Additional Information: Number Patterns
Finding patterns in numbers requires observing their properties and relationships. Questions like finding the odd one out test your ability to quickly identify unique characteristics.
- Always start with simple checks like even/odd or divisibility.
- Consider checking for common mathematical properties like perfect squares, cubes, primes.
- For more complex sequences, look for arithmetic progressions, geometric progressions, or differences between consecutive terms.
- Sometimes the pattern might relate to the digits themselves (e.g., sum of digits, product of digits).
- Practice with various types of number series and odd-one-out questions to build proficiency.
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)
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.
Identify the number which is different from the other.
