find the odd number out in the following alternative 105, 91, 65 117,
Answers
91 its a prime no others are not as they are composite no.s
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Given:
A set of numbers 105, 91, 65, 117.
To Find:
The odd number out of the given set.
Solution:
The given problem can be solved by finding a common logic for any of the three numbers and eliminating the 4th number which does not follow the logic followed by the other 3 numbers.
1. The given series of numbers is 105, 91, 65, 117.
2. The factors of 105 are,
=> 105 has factors 1, 3, 5, 7, 21, 35, 105.
3. The factors of 91 are,
=> 91 has factors 1, 7, 13, 91.
4. The factors of 65 are,
=> 65 has factors 1, 5, 13, 65.
5. The factors of 117 are,
=> 117 has factors 1, and 117.
6. The numbers 105, 91, and 65 are composite whereas, 117 is a prime number. Hence, 117 is an odd number.
Therefore, 117 is the odd number in the given set of numbers.