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      Question

      Series I: 12440, 10640, 10280, 10190, (X), 10145

      Series II: 175, 207, 191, 199, 195, 197, (Y) Series III: 13, 14, (Z), 93, 376, 1885 Find which of the following statement(s) is/definitely true. I. Y is not a prime number II. When X divided by Z, remainder is 15 III. When 41 added to X, number becomes a perfect square
      A I only Correct Answer Incorrect Answer
      B II and III only Correct Answer Incorrect Answer
      C I and III only Correct Answer Incorrect Answer
      D only III Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Series I. 10145 + 15 = 10160 10160 + 30 = 10190 10190 + 90 = 10280 10280 + 360 = 10640 10640 + 1800 = 12440 Value of X = 10160 Series II. 175 + 32 = 207 207 – 16 = 191 191 + 8 = 199 199 – 4 = 195 195 + 2 = 197 197 – 1 = 196 Value of Y = 196 Series III. 13 x 1 + 1 = 14 14 x 2 + 2 = 30 30 x 3 + 3 = 93 93 x 4 + 4 = 376 376 x 5 + 5 = 1885 Value of R = 30 I. Y = 196 ( not prime) This statement is true II. X/Z = 10160/30 = remainder is 20 This statement is not true III. P + 21 = 10160 + 41 = 10201 = 101 x 101 This statement is true Hence answer is option C.

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