if separate terms of 4 or 6 or 11 students are made from the student of a class, 3 students are left in each case. what is the smallest possible number of students in the class ?
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Step-by-step explanation:Let us take the Total Strength Of The Class=x
It is given that when the class is divided into groups of 4 we will have more 3 students left,if class is divided into groups of 6 we will have more 3 students left,if class is divided into groups of 11 we will have more 3 students left.
(let us take no. Of groups when it is divided into groups of 4 students is a,b for 6,c for 11)
The equations will be like
4a=x-3
6b=x-3
11c=x-3
As a,b and c are integers,we can take that 4,6,11 are factors of x-3
As they asked least value of x we can take x-3=LCM(4,6,11)
i.e.,x-3=132
we will get the least value of x as 132+3=135
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