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      Question

      Two numbers series are given below each follows a

      different pattern. Neither of the series contains any wrong term. Series I: 126, (m - 5), 198, 288, 414, 576 Series II: 142, 148, (n + 2), 210, 282, 392 Which of the following statement(s) is true? (I) Sum of the values of 'm' and 'n' is multiple of 17. (II) Difference between the values of m and n is 'k', where sum of the digits of k is an even number. (III) Value of 'm' is 20% more than the value of 'n'.
      A Only I Correct Answer Incorrect Answer
      B Only II Correct Answer Incorrect Answer
      C Both I and II Correct Answer Incorrect Answer
      D Both II and III Correct Answer Incorrect Answer
      E All I, II and III Correct Answer Incorrect Answer

      Solution

      Series I: 126 + (18 x 1) = 144 144 + (18 x 3) = 198 198 + (18 x 5) = 288 288 + (18 x 7) = 414 414 + (18 x 9) = 576 So, m - 5 = 144 'm' = 149 Series II: 142 + 2² + 2 = 148 148 + 4² + 4 = 168 168 + 6² + 6 = 210 210 + 8² + 8 = 282 282 + 10² + 10 = 392 So, (n + 2) = 168 n = 168 - 2 = 166 Statement (I) : m + n = 149 + 166 = 315. 315 ÷ 17 is not an integer, so 315 is not a multiple of 17. So, statement I is false. Statement (II) : 'k' = 166 − 149 = 17. Sum of digits of k = 1 + 7 = 8. 8 is an even number. So, statement II is true. Statement (III) : 20% of n = 20% of 166 = 33.2 n + 20% of n = 166 + 33.2 = 199.2 'm' = 149, which is not 199.2. So, statement III is false. Hence, option b.

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