Which one of the following numbers 587, 875, 695, 767, 867 is different from the other numbers, in accordance with some rule?
Different Number Identification
The problem asks us to find which one of the given numbers (587, 875, 695, 767, 867) is unique based on a specific rule. To solve this, we need to analyze the properties of each number to discover a consistent pattern among most of them and a deviation in one.
Rule Analysis of Numbers
Let's examine a common numerical property often used in such puzzles: the sum of the digits of each number. This method frequently helps in identifying underlying patterns in number series.
| Number | Calculation of Sum of Digits | Sum of Digits |
|---|---|---|
| 587 | $\text{5} + \text{8} + \text{7}$ | 20 |
| 875 | $\text{8} + \text{7} + \text{5}$ | 20 |
| 695 | $\text{6} + \text{9} + \text{5}$ | 20 |
| 767 | $\text{7} + \text{6} + \text{7}$ | 20 |
| 867 | $\text{8} + \text{6} + \text{7}$ | 21 |
From the table above, it is clear that a consistent pattern exists for four of the numbers. The numbers 587, 875, 695, and 767 all have a sum of their digits equal to 20.
In contrast, the number 867 has a sum of its digits equal to 21. This indicates a clear deviation from the pattern observed in the other numbers.
Therefore, based on the rule of the sum of digits, 867 is the number that is different.
Different Number Conclusion
Based on the consistent pattern found where the sum of digits for most numbers is 20, the number 867 stands out because its sum of digits is 21. This makes 867 the unique number in the given series.
Important Questions from Number Based
- Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operations on the second number result in the third number and so on. Which of the given options follows the same set of operations as in question?
(NOTE – A two/three-digit number cannot be broken into individual digits for operations, e.g., if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.)
12 – 26 – 46 – 70; 20 – 34 – 54 – 78 - Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operations on the second number result in the third number and so on. Which of the given options follows the same set of operations as in the question?
(NOTE – A two/three-digit number cannot be broken into individual digits for operations. E.g. if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.)
5 – 20 – 60 – 120
8 – 32 – 96 – 192 Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.
(15, 7, 100)
(25, 8, 195)- Select the set in which the numbers are related in the same way as are the numbers of the following sets.
5-7-9
11-13-15
(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) - Replace the question mark with an option that follows the same logic applied in the first pair.
$21027:12::32576:?$
