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Question

Which one of the following numbers 587, 875, 695, 767, 867 is different from the other numbers, in accordance with some rule?

The correct answer is 867

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.

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Important Questions from Number Based

  1. 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)

  2. 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.

  3. 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.

  4. 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.

  5. 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.

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