odd one out 1.33,37,43,41 2. 37,38,56,92
Answers
Given data :
Series 1 : 33, 37, 43, 41
Series 2 : 37, 38, 56, 92
To find :
Odd elements of the respective series.
Solution 1 :
Series 1 : 33, 37, 43, 41
Any number that is divisible exactly, only by 1 and the number itself is said to be a prime number.
- 33 is not a prime number, as it is perfectly divisible by 3, other than 1 and 33.
- 37 is a prime number, as it is exactly divisible by only 1 and 37.
- Only 1 and 43 can divide 43 perfectly. So, 43 is a prime number.
- 41 is a prime number as it is divisible leaving remainder 0, only by 1 and 41 itself.
Among the four numbers in the series, only 33 is the number which is not a prime. So it is the ODD one of all.
Therefore, odd element in the series 33, 37, 43, 41 is 33.
Series 2 : 37, 38, 56, 92
Any number which is divisible by 2 leaving 0 as a remainder is said to be an even number.
- 37 is not an even number as it leaves 1 as a remainder.
- 38 gets cancelled exactly 19 times by 2. So, it is an even number.
- 56 gets cancelled exactly 28 times by 2. So, it is an even number.
- 92 gets cancelled exactly 46 times by 2. So, it is an even number.
37 is the only odd number present in the series. So, it is the odd element.
Therefore, odd element in the series 37, 38, 56, 92 is 37.
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