Mathematical Reasoning - Number Series

21. What is the number that comes next in the sequence?
12, 20, 100, ?, 8,900, 88,900, 8,88,900

  • Option : B
  • Explanation : × 10 − 100, × 10 − 100 and so on.
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22. Find the missing number in the following series.
28, 33, 31, 36, ?, 39

  • Option : D
  • Explanation : The pattern is +5, −2, +5, −2, … Hence, the missing term = 36 − 2 = 34
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23. Find the missing number in the following series.
1, 3, 4, 8, 15, 27, ?

  • Option : B
  • Explanation : The sum of any three consecutive terms of the series is given to the next term. Hence, missing number = 8 + 15 + 27 = 50.
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24. Find the missing number in the following series.
4, 16, 8, 64, ?, 256

  • Option : A
  • Explanation : The second number is the square of the first number; the fourth number is the square of the third number. Similarly, the sixth number should be the square of fifth. Hence, the answer is 16, i.e., square root of 256.
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25. Find the missing number in the following series.
2/3, 4/7, ?, 11/21, 16/31

  • Option : D
  • Explanation : The numerator increases by addition of 2, 3, 4 and 5.
    The denominator increases by addition of 4, 6, 8 and 10.
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