Latest TCS Aptitude Question SOLUTION: how many three digit numbers when divided by 5,6 and 7 leave a remainder of 2,3 and 5 respectively?

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how many three digit numbers when divided by
5,6 and 7 leave a remainder of 2,3 and 5 respectively?

Asked In TCS chaitra (10 years ago)

Unsolved Read Solution (8)

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kakul luthra  (10 years ago)

1st series- 102,107,112,117,122........
2nd series- 105,111,117,123,129........
3rd series- 103,110,117,124,131........

therefore the our first no. is - 117

and the LCM of 5,6,7 is 210.

so keep on adding 210 in 117
final series is - 117,327,537,747,957

so the total no.s are- 5 (Ans)

Is this solution Helpfull? Yes (40) | No   

vertika srivastav  (10 years ago)

5.
117,327,537,747,957

Is this solution Helpfull? Yes (20) | No (4)  

Anuja Singh  (10 years ago)

the three digit num is between 100 to 999
l.c.m of (5-2),(6-3) and (7-5) i.e 3,3,2= 6
now the num which is divisible by 6 is included....
the 1st 3-digit num is 108 and last 996.
so 996= 108+(n-1)*6 i.e n= 149

Is this solution Helpfull? Yes (19) | No (27)  

GAURAV JAISWAL  (10 years ago)

Ans is 4
167,377,587,797

Is this solution Helpfull? Yes (4) | No (13)  

prateek jain  (10 years ago)

ans=117
117/5=remainder=2
117/6=rem=3
117/7=rem=5

Is this solution Helpfull? Yes (2) | No (13)  

Vishwadeep Solpankhi  (10 years ago)

ans is 167

Is this solution Helpfull? Yes (1) | No (13)  

tanvi kapoor  (10 years ago)

ans is 459

Is this solution Helpfull? Yes (1) | No (9)  

Guru Pranav  (10 years ago)

117,327,537,747,957 Ans.

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