Direction: In each of the following questions, 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?
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3 , 4 , 12 , 45 , 190 ,1005 , 6066
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- 98
- 96
- 384
- 386
- None of these
Correct Option: C
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 .
