p, q , r , s, n and m are positive integers such that 4p = 5q = 6r = 12s = 8n = 9m which of the following pairs contains a number , which is not an integer?

{p/m , m/q} {q/9 , rs/p}

Question

p, q , r , s, n and m are positive integers such that 4p = 5q = 6r = 12s = 8n = 9m  which of the following pairs  contains a number , which is not an integer?

{p/m , m/q}     {q/9  ,  rs/p}

anonymous · Answer

how to find pq ...

anonymous · Answer

(p/m) is not integer $$pq=(4p ^{2})/5$$

ash2326 · Answer

4p = 5q = 6r = 12s = 8n = 9m
@surabhi123 
we don't have to find p, q, r, s, n, m
 from the given data, we have
$$4p=9m$$
Do you get this?

anonymous · Answer

yup then

ash2326 · Answer

so we get
$$4p=9m$$
$$\frac p m= \frac 9 4$$
is p/m an integer?

anonymous · Answer

ok p/m and m/q are not integers but wat abt other ones

ash2326 · Answer

we can't know q/9, unless we find q
Let's check the other no. rs/p?

ash2326 · Answer

4p=6r
$$\frac 4 6 =\frac rp$$
$$\frac {rs} p\ =\frac {4s}{6} $$
now let's check if this is an integer or not
are you here?