Latest TCS Aptitude Question SOLUTION: What is the remainder when the number 123456789101112131415161718192021222324252627282930313233343536373 839404142434481 is divided by 45?

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What is the remainder when the number
123456789101112131415161718192021222324252627282930313233343536373
839404142434481
is divided by 45?

Asked In TCS SAGAR DAS (10 years ago)

Solved Rahul Agrawal Read Solution (13)

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Read Solution (13) :

VIKAS SINGH  (10 years ago)

it can be written as 12345......4400+81, since the no 1234....4400 is devisible by both 9 nd 5 so this no will be devisible by 45 now devide 81 by 45 u will get ur remainder as 36.
ans. 36

Is this solution Helpfull? Yes (74) | No (1)  

Ashutosh Anshu  (10 years ago)

use [n(n+1)]/2 .. !!! [44(44+1)]/2+81 = 44*45/2+81 = 1071. divide 1071 by 45 = 36 as remainder.. !!

Is this solution Helpfull? Yes (30) | No (12)  

Rahul Agrawal  (10 years ago)

sum of digits at units pace =(1+2+3+4+5+6+7+8+9)= 45
This occurs 4 times so 45*4= 180
sum of digits in 41,42,43,44 at units place= 10
Sum of 10 between 10 and 19= 10*10=100
sum of 20 between 20 and 29= 20*10=200
sum of 30 between 30 and 39= 30*10=300
sum of 40 between 40 and 44= 40 *5=200
total sum =(180+100+200+300+200+10+81)=1071
1071/45= 36 remender

Is this solution Helpfull? Yes (8) | No (2)  

vivek  (10 years ago)

remainder will be
81-45=36

Is this solution Helpfull? Yes (6) | No (4)  

muttareddy veera mani devi  (10 years ago)

divide last 2 numbers by 45..
so the remainder obtained is 36

Is this solution Helpfull? Yes (2) | No   

Prakash Singh  (10 years ago)

i think 81-45=36

Is this solution Helpfull? Yes (1) | No (7)  

arvind  (10 years ago)

what is the question
plz clarify it.

Is this solution Helpfull? Yes (1) | No (1)  

sahana  (10 years ago)

@vivek....y shud v take 81??

Is this solution Helpfull? Yes (1) | No   

gajulapalli naveen  (10 years ago)

we have series in that questions like 1,2,3,4,56,7,8,9,10,11 ... 44, end is 81 is different from the series 81/45 reminder is 36

Is this solution Helpfull? Yes (1) | No   

palakurthy tanuja  (10 years ago)

i didnt understand d solutin..can any1 plz explain

Is this solution Helpfull? Yes (1) | No   

ritu panwar  (10 years ago)

@vikas singh ..how u find that it is divided by 9 ?

Is this solution Helpfull? Yes (1) | No   

Aman Agarwal  (10 years ago)

the number can be written as 1234.....4344 + 81. The addition of the digits of 1234...4344 is 270 which is divisible by 9 and the number itself is also divisible by 5, hence divisible by 45. Now 81%45 = 36, hence the answer

Is this solution Helpfull? Yes (1) | No   

ashutosh patra  (10 years ago)

Ans=31
481-450=31

Is this solution Helpfull? Yes | No (4)  

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