Question A Day 26 04 : Maths By Amiya

If N = 122333444455555…. is a large 100 digit number , what would be remainder if N is divided by 9.

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[GAURAVKUMAR-lspl]

a-b=1/a and b-a=1/b squaring and add then we get I/ab = √2

[digant]

No of digit 1 to 9= 45, sum of digit =9*10*19/6= 285

No of digit 10= 20, sum= 10
No of digit 11= 22, sum =22
No of digit 12=24, sum = 36
No of digit upto 100 so 45+20+22=87 now add 13 digits more, means 6 times 12 and extra 1. Now sum of 13 no is 3*6=18 and 1 so sum of digit of 12 number is 19
Sum is 285+10+22+19=336
Divide 336 by 9 remainder will be "3"

[sattarsingh]

Remainder is 4. We can put sum of squares of N natural no. N devide by 9

[jaihindbhagatsingh]

=13×14×27/6 +9×14
=13×7×9+9×14
=9(13×7+14)
=9×105
It is divisible by 9
So remainder is 0

[MohitKumar-vvtx]

4 is the remainder
We add all these by formula of square of first 100 natural no we get 338350 we divide by 9 we get 4

[mathsclassesbyomsir]

Hare Krishna Hare Krishna Krishna Krishna Hare Hare
Hare Ram Hare Ram Ram Ram Hare Hare

[akhileshwarmaurya]

1 will be reamainder as property of 9 is that sum of digit also divisible by 9 if digit divisible by 9 hmce sum of respect 9

[jitujat]

Reminder is 3 coming in this question if 100 wi digit tak lane par

[sumitpandey]

सर, आप महान हो, आपके चरण किधर मिलेंगे । आपका कोई बैच भी चलता है तो कृपया बताएं । अपना सेल नंबर देने की कृपा करें ।

[saketkumarsharma]

a-1/a=b, b-1/b=c, c-1/c=a then
1/ab+1/bc+1/ca=???
In this condition what should we do.
Please anyone reply

[piclassesyadav]

Zero first 13 term square 819+126=945 so divided by 9 remainder zero

[prateekmalik]

Sir I filled out a response for WhatsApp group but haven’t been added yet

[AtulMishra-ivsb]

Sir plz chapter wise video banaiye....

[Poiuytre]

1 ka sqr sqr + 14 nine time

819+126
N its divisible by 9 n gives zero as areminder

[rahulgarg]

sir question of 25th April
a-b =1/a and b-a = 1/b (from given equation) ka multiply krke answer nhi aaega kya ?

[mohitgupta]

sir please hmari fb ar what's up group ki request approve kr dijiye

[premkumar-lqlx]

Sir, for 25th April question why can't we do addition

[ashutosh]

Ssc cgl 18 course ? When it is starting?

[raviprajapati]

Sir you have any telegram or what'aps link bcoz I have some query 😐