lovely

let N be positive integer with 1998 decimal digits all of them 1 such that n=1111.......11
Find the thousandth digit after decimall point of √N

9 Answers

1
°ღ•๓яυΠ·

answer is 1 :)

u'll observe a series

c
11 root .....after deciaml u hav 3166

1111 root ....after decimal u hav 33166

similarly ............for diffrnce of 2

i mean so nw 1998 is d 1998 term

so it will hav 1998/2...... 3's......ie 999 3's

so after 3 u hav 1 .........
so answer is 1

cheero~

24
eureka123 ·

give the soln dear.........ans is rite.[1][1]

1
°ღ•๓яυΠ·

c ma previous post

1
°ღ•๓яυΠ·

nishu bhayh i wan a golden or else mein mani ka tarika apnaungi ;)

11
Mani Pal Singh ·

do it girl
follow ma rulz
u will enjoy[4]

1
Philip Calvert ·

wat was/is mani ka tarika

9
Celestine preetham ·

wats in a name did u use a calculator ????

24
eureka123 ·

@ mrunal , i cant get ur method.........

here is my method(a bit bookish) but i cant get anything else..[2][2]

1000th digit after decimal pt. of √N will be unit digit of 101000N
=>10001000(√101998-1)/3
=>√103998-102000/3

using the fact that,
(101999-7)2<103998-102000<(101999-4)2
=>(101999-7)/3<101000N<(101999-4)/3
=>33...........31<101000N<33..........32

=> answer will be 1

any better method is welcome.....i am eagerly waiting for it....

1
°ღ•๓яυΠ·

c
11 root .....after deciaml u hav 3166

1111 root ....after decimal u hav 33166

similarly ............for diffrnce of 2

arey means dekh
jab 2 1's hai so u get 31667 aise kuch after decimal

jab 4 1's hai so u get 33167........

jab 6 1's hai u get 33367

u observe that jitne 1's hai use aadha 3 hai decimal ke baad

so jab 1998 1's hai u hav 999 3's n afetr 3 u hav 1 so 1000th is 1

Your Answer

Close [X]