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avip
Lv 7
avip asked in Science & MathematicsMathematics · 8 years ago

How to find the 28383 rd term of 1234567891011121314151617 ..... ?

This is 64th Question of 'How to prepare for Quantitative Aptitude

by Arun Sharma - V Edition.

Update:

Pl Refer

" Actually, it's infinitely consecutive numbers that written in simultaneously. hence:

1 digit number(1-9): 9 numbers

2 digit number(10-99): 90 numbers

3 digit number(100-999): 900 numbers

4 digit number(1000-9999):9000 numbers ..... "

-----------------------------------------------------------

Total = 9(1) + 90(2) + 900(3) + 9000(4)

= 9+180+2700+36000

= 38889 ( It is more than 28383 ) <<<<===========

-----------------------------------------------------------

My question is " will the 28383 th term lie within above range ?"

and there is no need to go to 5 digit numbers ???

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Update 2:

pl. see the result of Excel Sheet. the 28381, 28382, 28383 terms have been calculated.

at http://imageshack.us/f/854/ser1.jpg/

2 Answers

Relevance
  • 8 years ago
    Favorite Answer

    Fingers crossed but is the answer 2?

    i have done whole lot of calculations....

    In that series, if you observe then 9th term is 9 (9)

    191st term is 9 (99)

    2891st term is 9 (999)

    38891st term is 9 too (9999)

    But, we desire the 28383rd term.. for that we know that 38891st number is 9999 (calculated it) and find the distance between 38891st term & 28383rd term

    so it is 38891-28383 = 10508, but this is merely the distance... to find which number lies there we gotta divide 10508 by 4 (i hope you get why to divide it by 4)

    10508/4 = 2627, this means that the number is 2627 away from 9999, so that number is 9999-2627 = 7372

    So, the 28383rd term is 2, 28382nd term is 7 and so on.....

    Plzz.. do correct me if I am wrong anywhere :)

    All the best for CAT

  • ?
    Lv 4
    8 years ago

    Actually, it's infinitely consecutive numbers that written in simultaneously. hence:

    1 digit number(1-9): 9 numbers

    2 digit number(10-99): 90 numbers

    3 digit number(100-999): 900 numbers

    4 digit number(1000-9999):9000 numbers

    5 digit number(10000-99999):90000 numbers, & so on

    for your problem, we have 5 digit numbers. so first, we subtract it with the number of 1-4 digits numbers.

    28383-9999=18384

    18384:5(because it's 5 digit)=3676 R 4

    3676th number from 10000= 13675--->last digit:5

    4 digits after 5 is 1,3,6,&7-->4th number=7

    So, the 28383rd term of 1234567891011121314151617 is 7

    i hope it can help you

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