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      Question

      Two number series are given below, and both follow the

      same pattern. Series I contains a missing term (m + 18). Find the value of the missing term and answer the question that follows. Series I: 72, 83, 116, (m + 18), 248, 347 Series II: (m + 2), n, a, p, q, (3m - 29) Average of 'a' and 'q' is 306. II. (q - n) = (m + 20) . III 'p' is completely divisible by 3. 
      A Only I Correct Answer Incorrect Answer
      B Only II Correct Answer Incorrect Answer
      C Both II and III Correct Answer Incorrect Answer
      D Both I and II Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Series I: 72 + (11 X 1) = 83 83 + (11 X 3) = 116 116 + (11 X 5) = 171 171 + (11 X 7) = 248 248 + (11 X 9) = 347 So, m + 18 = 171 'm' = 171 - 18 = 153 so, (m + 2) = 153 + 2 = 155 Also, (3m - 29) = 3 X 153 - 29 = 430 Series II: 155 + (11 X 1) = 166 = 'n' 166 + (11 X 3) = 199 = 'a' 199 + (11 X 5) = 254 = 'p' 254 + (11 X 7) = 331 = 'q' 331 + (11 X 9) = 430 Statement I: Required average = (199 + 331) ÷ 2 = 265 So, statement I is not true. Statement II: (q - n) = 331 - 166 = 165 m + 20 = 153 + 20 = 173 So, statement II is not true. Statement III: 'p' = 254 254 ÷ 3 = 84.66 So, statement III is not true. Therefore, none of the given statements is true.

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