Latest TCS Aptitude Question SOLUTION: Result for search 1 to 44 like 1234567891011121314151617181920......424344 what is remainder when divided by 45??

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Result for search 1 to 44 like 1234567891011121314151617181920......424344 what is remainder when divided by 45??

Asked In TCS santosh kumar (11 years ago)

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VIKAS SINGH  (11 years ago)

Remainder will not be 0 coz d no. 123456........424344 iz not divisible by 45 since a no. to be divisible by 45 d last digit should be 0 r 5 bt here d last digit iz 4.d no. will be divisible by 9 coz digit sum iz divisible by 9.
now take d no.s which iz divisible by 9 and having last digit as 4(coz in d q no. have its last digit 4).
some of d no.s r 54, 144,234,324,414,......divide these no.s by 45 u will always got ur remainder as 9.
so d ans will be 9.

Is this solution Helpfull? Yes (47) | No (10)  

sharmila  (11 years ago)

sum=n(a+l)/2
=44(1+44)/2
=990
=990/45=22
remainder=0.

Is this solution Helpfull? Yes (10) | No (30)  

sagar pahwa  (11 years ago)

the remainder is 4.
since 45=5*9
so,by calculating the sum of digits of number it is clear that the number is divisible by 9
now,since,the number at unit's place is 4,so the remainder on dividing by 5 is 4.Hence,the remainder 4.

Is this solution Helpfull? Yes (7) | No (11)  

aishee dan  (11 years ago)

344-(45*7)=29

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