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Find the next number in the series 83, 85, 82, 87, 80, 91, 78,___________76a.99b.93c.95d.97

Question

Find the next number in the series 83, 85, 82, 87, 80, 91, 78,___________76a.99b.93c.95d.97

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Solution

The pattern in the series is +2, -3, +5, -7, +11, -13. These are alternating additions and subtractions of prime numbers. The next prime number after 13 is 17. So, the next number in the series would be 78 - 17 = 61. Therefore, none of the options a.99, b.93, c.95, d.97 are correct.

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