BdMO National Junior 2007/6
-
samiul_samin
- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Mathematics,English and Bangla classes started on the very first day of a month.Mathematics class schedule is $1,3,5,7,9,...$ the schedule for English is $1,4,7,10,13,...$.and for Bangla it is $1,5,9,13,17...$ .In next $3$ months how many time you have to attend all three of these classes at same day?Suppose all the months are of $30$ days.
-
samiul_samin
- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Re: BdMO National Junior 2007/6
Answer:$\fbox 7$
Solution:
$LCM(2,3,4)=12$
Total day=$3×30=90$
Attend three classes in a day =$\lfloor{\dfrac {90}{12}}\rfloor=7$ days
Solution:
$LCM(2,3,4)=12$
Total day=$3×30=90$
Attend three classes in a day =$\lfloor{\dfrac {90}{12}}\rfloor=7$ days