Multiple choice

Directions: In the following question, a series is given with one term missing. Choose the alternative that will complete the series. 30, 45, 75, 105, 165, ?, 255, 285, 345

  1. 195

  2. 176

  3. 225

  4. 125

  5. 175
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A Correct answer
Explanation

The differences between consecutive terms are 15, 30, 30, 60, ?, ?, 30, 60. The pattern of differences is 15, 30, 30, 60, 30, 60, 30, 60. Adding 30 to 165 gives 195.

AI explanation

The series consists of alternate consecutive odd numbers, each multiplied by 15. The pattern is 2 * 15 = 30, 3 * 15 = 45, 5 * 15 = 75, 7 * 15 = 105, 11 * 15 = 165, 13 * 15 = 195, 17 * 15 = 255, 19 * 15 = 285 and 23 * 15 = 345. The missing term corresponds to the prime number 13, which gives 195.

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