Mathematical Reasoning - Number Series

1. 2, 5, 11, 17, 23, 31, ...

  • Option : C
  • Explanation : The prime numbers in this range are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, ... Prime numbers have been written alternatively Thus, after 31, the prime numbers are 37, 41, ... Ignoring 37, the answer is 41.
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2. 2, 3, 5, 7, 11, 13, 17, ...

  • Option : D
  • Explanation : The given series is a prime number series. The next prime number is 19.
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3. 2, 5, 8, 11, 14, 17, ..., 23, 26,

  • Option : C
  • Explanation : The difference between the numbers is 3 (17 + 3 = 20).
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4. 45, 38, ..., 24, 17, 10, 3

  • Option : A
  • Explanation : The difference between the consecutive numbers is 7 (38 − 7 = 31).
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5. 2, 6, 18, 54, ..., 486, 1,458

  • Option : C
  • Explanation : The numbers are multiplied by 3 to get the next number (54 × 3 = 162).
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