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      Question

      Three number series 'I', 'II' and 'III' are given

      below. Series 'I', and 'III' contain a missing term each namely 'P' and 'R', respectively, whereas series 'II' has an odd one out term (wrong number) namely 'Q'. I. 118, 145, 209, 334, P, 893 II. 537, 585, 634, 685, 738, 793 III. 12, 30, 90, R, 1260, 5670 Which of the following statements is/are true? I. 'R' is a multiple of (P - Q) II. (Q - R) is a perfect square III. (P + 2R - 2Q) > (2R - P)
      A Only I Correct Answer Incorrect Answer
      B Both II and III Correct Answer Incorrect Answer
      C None is true Correct Answer Incorrect Answer
      D Only II Correct Answer Incorrect Answer
      E Only III Correct Answer Incorrect Answer

      Solution

      Series I: 118 + 33 = 145 145 + 43 = 209 209 + 53 = 334 334 + 63 = 550 550 + 73 = 893 'P' = 550 Series II: 232 + 9 = 538 242 + 9 = 585 252 + 9 = 634 262 + 9 = 685 272 + 9 = 738 282 + 9 = 793 'Q' = 537 Series III: 12 x 2.5 = 30 30 x 3 = 90 90 x 3.5 = 315 315 x 4 = 1260 1260 x 4.5 = 5670 'R' = 315 Statement I: P - Q = 550 – 537 = 13 315 is not a multiple of 13. So, statement I is false. Statement II: Q - R = 537 – 315 = 222, which is not a perfect square So, statement II is false. Statement III: P + 2R - 2Q = 550 + 2 x 315 - 2 x 537 = 106 2R - P = 2 x 315 – 550 = 80 106 > 80 So, statement III is true. Therefore, only statement III is true. Hence, option e.

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