What is the 2777th term in the series 1234567891011121314……..?
a)9 b)3 c)7 d) 6
Answer : d) 6
Solution :
Proceeding similar to the previous problems, we know that the following.
Number of digits from 1 to 99 = 189
Number of digits from 1 to 999 = 2889
Since 2777 is in between 180 and 2889, it has to be present in somewhere in the range of 100 to 999.
We have to find 2777th term after 1, i.e 2777 - 189 = 2588th term after 99.
Number of digits from 1 to 99 = 189
Number of digits from 1 to 999 = 2889
Since 2777 is in between 180 and 2889, it has to be present in somewhere in the range of 100 to 999.
We have to find 2777th term after 1, i.e 2777 - 189 = 2588th term after 99.
Dividing 2588 by 3 we get, 862 and remainder 2.
i.e our answer is the 2nd digit of the number that occurs after 862th number after 99.
892th number after 99 = 862 + 99 = 961
Number after 961 = 962.
Second digit of 962 = 6.
i.e our answer is the 2nd digit of the number that occurs after 862th number after 99.
892th number after 99 = 862 + 99 = 961
Number after 961 = 962.
Second digit of 962 = 6.
No comments:
Post a Comment