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Home Non Verbal Reasoning Series See What Others Are Saying!
  • Question
  • A number series is given in which one number is wrong. You have to find out that number and have to follow the new series which will be started by that number. By following this, which will be the 2nd number of the new series?
    3 , 4 , 12 , 45 , 190 ,1005 , 6066


  • Options
  • A. 98
  • B. 96
  • C. 384
  • D. 386

  • Correct Answer
  • 384 

    Explanation

    From above given series , we can see that
    Next term = Previous term × n + n2 { putting n = 1 , 2 , 3 , 4 , 5 , 6 respectively }
    Second term = 3 × 1 + 12 = 3 + 1 = 4 ;
    Third term = 4 × 2 + 22 = 8 + 4 = 12 ;
    Fourth term = 12 × 3 + 32 = 36 + 9 = 45 ;
    Fifth term = 45 × 4 + 42 = 132 + 16 = 190; 190 is wrong. It should be 196. Here, 190 is the wrong number.
    Sixth term = 196 × 5 + 52 = 980 + 25 = 1005 ;
    Seventh term = 1005 × 6 + 62 = 6030 + 36 = 6066 .
    New series is
    First term = 190 × 1 + 12 = 192;
    Second term = 190 × 2 + 22 = 384.
    Hence Second term of new series is 384 .


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