Find the odd one among: 825, 645, 354, 312, 915, 715

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715

915

312

354

answer is A.

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Detailed Solution

Concept- In order to find the odd one, or alternately, the even and odd numbers, we will first check for the multiplicity of 2. In a similar manner, we will check for the multiplicity of 3, and we will keep checking until we find the odd one out. We will determine the multiplicity of numbers using the prime factorization method.
Data provided: 825, 645, 354, 312, 915, and 715. The specified numbers will be factored, or you could say they will be written using the prime factorization method, by us.
Question Image

Now, we'll check the number of even and odd numbers first to see whether there are any multiples of two. Since there are two even and four odd numbers, we cannot locate a single odd out based on a multiplicity of two. Check the multiples of 3 right now. We can see that there are five numbers that are multiples of three and only one, 715, is not one of them.
Hence, the correct answer is option 1.

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