36. Find out the wrong number in the series: 8,9,21,39,79,140,204
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The wrong in the series 8, 9, 21, 39, 79, 140, 204 is 79.
Step-by-step explanation:
- Here, the given numbers are 8, 9, 21, 39, 79, 140 and 204.
- If we try to find a pattern in these given numbers, we may fail to find the odd one quickly.
- However let us check if the numbers are primes and non-primes. This may help us to reach our answer sooner. We can do this by prime factorization.
- 8 = 2 × 2 × 2
- 9 = 3 × 3
- 21 = 3 × 7
- 39 = 3 × 13
- 79 = 1 × 79
- 140 = 2 × 2 × 5 × 7
- 204 = 2 × 2 × 3 × 17
- We can see that, 79 is the only prime number and thus the unsuitable number in the given series os 79.
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