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A school administrator will assign each student in a group of n students to one of m


tirumalai

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A school administrator will assign each student in a group of n students to one of m

classrooms. If 3

m classrooms so that each classroom has the same number of students assigned to it?

(1) It is possible to assign each of 3n students to one of m classrooms so that each

classroom has the same number of students assigned to it.

(2) It is possible to assign each of 13n students to one of m classrooms so that each

classroom has the same number of students assigned to it.

CAN SOMEONE EXPLAIN PLS.

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(B)

 

In simpler terms it is asking whether n/m is an integer?

 

(1) 3n/m is an integer.

'3/m' can be integer and the result multiplied by 'n' to get an integer

or 'n/m' can be integer and the result multiplied by '3' to get an integer.

 

(2) 13n/m is an integer

 

'13/m' cannot be integer as 'm' is less that '13'.

 

Hence 'n/m' is an integer.

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