It is easy to know that ∠EQN=∠PME from the secant theorem.

MN is the diameter.

∠NQM=90

PMN+∠PQM=∠EQN+∠PQM=90

And because ∠PQM=∠E+∠QME.

∠PMN=∠PMQ+∠QME

Generation ∠ e+∠ pmq+2 ∠ qme = 90.

∠QME=(90 -60 )/2= 15

∠PQM=∠E+∠QME=40

Choose C.

Question 8

From the meaning of the question, k=(8b-a)/(b-a)

Let b/a=t be an integer.

k =(8t- 1)/(t- 1)= 8+7/(t- 1)

Because k and t are integers.

So t- 1 can be divisible by 7.

T- 1 can make-1, 1,-7,7.

t=0，2，-6，8

Because a>0, b>0

Therefore, t>0.

So t is only 2,8, and k is only15,9, which means there are only two.

Choose B.