Quant Question of the Day Chat

“is it possible to assign each of the N students to one of the M classrooms so that each classroom has the same number of students” simply means is N divisible by M? That is, N/M?

1) given 3N is divisible by M

Now, since M is between 3 and 13 and N is more than 13, this is not sufficient.

Let’s say, M = 6, N = 60. 3N/M

3(60)/6 = Integer value.

So, 60/6 = N/M = integer = yes possible to arrange each student to each class.

However, if, M = 12 and N = 16.

3(16)/12 = 4 = integer value.

But, N/M = 16/12 is not an integer.

So, we may arrange or we may not arrange equally. Insufficient.

B) given, 13N/M. We know 3<M<13<N. M has to be less than 13. That is M cannot be a multiple of 13 to cancel out that 13 in the numerator. Thus, N has to cancel out M in denominator to give us 13N/M as an integer. That is N/M is an integer.

Thus, sufficient. Answer is B.

The concept is basically testing number properties. Also, since we are dealing with students, we can to keep in my the question is testing on integer values, since we cannot get 1.5 student or something.

Hope this helps.

*we need to keep in mind that question is testing on integer