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      Question

      Two number series are given below; each follows a

      different pattern. Neither of the series contains any wrong term. Series I: 121, (m - 5), 211, 301, 409, 535 Series II: 145, 155, (n + 4), 235, 315, 425 Which of the following statement(s) is/are true? (I) Sum of the values of 'm' and 'n' is a multiple of 18. (II) Difference between the values of 'm' and 'n' is 'k', where the sum of the digits of k is a prime number. (III) Value of 'm' is 20% less than the value of 'n'.
      A Only I Correct Answer Incorrect Answer
      B Only III Correct Answer Incorrect Answer
      C Both I and II Correct Answer Incorrect Answer
      D Both I and III Correct Answer Incorrect Answer
      E All I, II and III Correct Answer Incorrect Answer

      Solution

      Series I: 121 + (18 ├Ч 1) = 139 139 + (18 ├Ч 4) = 211 211 + (18 ├Ч 5) = 301 301 + (18 ├Ч 6) = 409 409 + (18 ├Ч 7) = 535 So, m - 5 = 139 'm' = 144 Series II: 145 + 1┬▓ + 9 = 155 155 + 2┬▓ + 25 = 184 184 + 3┬▓ + 42 = 235 235 + 4┬▓ + 64 = 315 315 + 5┬▓ + 85 = 425 So, (n + 4) = 184 n = 184 - 4 = 180 Statement (I): m + n = 144 + 180 = 324. 324 ├╖ 18 = 18, so 324 is a multiple of 18. So, statement I is true. Statement (II): 'k' = 180 - 144 = 36. Sum of digits of k = 3 + 6 = 9. 9 is not a prime number. So, statement II is false. Statement (III): 20% of n = 20% of 180 = 36. n - 20% of n = 180 - 36 = 144. 'm' = 144, which is equal to 144. So, statement III is true.

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