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      Question

      There are two wrong number series given in each question

      and three relationships has been derived from that you have to answer the correct relationship between the two wrong numbers. I) 18, 61, 178, 580, 1618, 4861 II) 11, 22, 46, 86, 141, 216 i) Difference between two wrong numbers is 494 ii) Both the numbers are divisible by 4 iii) Ratio of two wrong numbers is 9: 4
      A Only i Correct Answer Incorrect Answer
      B Both i and ii Correct Answer Incorrect Answer
      C Only iii Correct Answer Incorrect Answer
      D All i, ii and iii Correct Answer Incorrect Answer
      E Both ii and iii Correct Answer Incorrect Answer

      Solution

      Series I: 18, 61, 178, 580, 1618, 4861 Pattern: ×3 + 7 ×3 − 5 Checking: 18 × 3 + 7 = 61 61 × 3 − 5 = 178 178 × 3 + 7 = 541 ≠ 580 ← wrong number 541 × 3 − 5 = 1618 1618 × 3 + 7 = 4861 So, wrong number in Series I = 580 Series II: 11, 22, 46, 86, 141, 216 Differences: 11, 24, 40, 55, 75 These should follow: 11, 24, 39, 56, 75 (with increments +13, +15, +17, +19) So: 11 + 11 = 22 22 + 24 = 46 46 + 39 = 85 ≠ 86 ← wrong number 85 + 56 = 141 141 + 75 = 216 Wrong number in Series II = 86 Now check relationships: i) Difference = 580 − 86 = 494 ✔ ii) Both divisible by 4 ✘ iii) Ratio = 580 : 86 = 290 : 43 ≠ 9 : 4 ✘ Correct relationship: Only (i) is correct.

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