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Which is the odd number out? 462 683 385 198


Question

Which is the odd number out?
462 683 385 198

Options

A) 198

B) 385

C) 462

D) 683

The correct answer is D.

Explanation:

Possible Explanation:
462 = 4 + 6 + 2 = 12
683 = 6 + 8 + 3 = 17
385 = 3 + 8 + 5 = 16
198 = 1 + 9 + 8 = 18
Notice that the results of summing the digits that make up three of the numbers, 12, 16, and 18, are even numbers. On the other hand, the result of summing the digits that make up the number 683 which is 17 is an odd number.

A tip for tackling questions like this is to first try to figure out if the given numbers make up an arithmetic sequence with a common difference or a geometric sequence with a common ratio. If not, then you can try playing around with the numbers as shown above to try to figure out if there's some kind of shared trait among the numbers or underlying pattern.


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Discussion (3)

  • Possible Explanation:
    462 = 4 + 6 + 2 = 12
    683 = 6 + 8 + 3 = 17
    385 = 3 + 8 + 5 = 16
    198 = 1 + 9 + 8 = 18
    Notice that the results of summing the digits that make up three of the numbers, 12, 16, and 18, are even numbers. On the other hand, the result of summing the digits that make up the number 683 which is 17 is an odd number.

    A tip for tackling questions like this is to first try to figure out if the given numbers make up an arithmetic sequence with a common difference or a geometric sequence with a common ratio. If not, then you can try playing around with the numbers as shown above to try to figure out if there's some kind of shared trait among the numbers or underlying pattern.

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  • Agada Solomon

    Another possible explanation is that all the numbers are wholly divisible by 11 except for 683.

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  • Possible Explanation:
    462 = 4 + 6 + 2 = 12
    683 = 6 + 8 + 3 = 17
    385 = 3 + 8 + 5 = 16
    198 = 1 + 9 + 8 = 18
    Notice that the results of summing the digits that make up three of the numbers, 12, 16, and 18, are even numbers. On the other hand, the result of summing the digits that make up the number 683 which is 17 is an odd number.

    A tip for tackling questions like this is to first try to figure out if the given numbers make up an arithmetic sequence with a common difference or a geometric sequence with a common ratio. If not, then you can try playing around with the numbers as shown above to try to figure out if there's some kind of shared trait among the numbers or underlying pattern.