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In the following question, four options are given, out of which three are alike in a particular way while one is different. Choose the odd one.

Solution

✅ Correct Option: 2

Examining the prime factorization of each number:

161=7×23161 = 7 \times 23

185=5×37185 = 5 \times 37

253=11×23253 = 11 \times 23

299=13×23299 = 13 \times 23


The numbers 161, 253, and 299 all share a common prime factor of 23.

161=7×23161 = 7 \times 23

253=11×23253 = 11 \times 23

299=13×23299 = 13 \times 23


The number 185 is the only one that does not have 23 as a prime factor.

185=5×37185 = 5 \times 37

Therefore, 185 is the odd one out.

The correct answer is Option 2.

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