In this question it is clearly told Q1 and Q0 value 1
But nothing told about value of T and D initially
So, we take T and D as 0 and as well as take T and D as 1, and need to check the value
Now to desceribe
firstly, Q0=1 which is connected to FF T and makes Q1=1(because Q0 passes through T=0 and no toggle will be there) But before making Q1as 1,it passes through T FF ,it and makes value of FF T as 1.
In the mean time Q1 previous value which was 1 passes through D FF and makes it 1 and changes Q0 value as 0(as Q0 depends on D FF value , and not the previous input value)
So, 1st clock cycle completed here
In 2nd clock cycle similarly Q0=0 pass through T=1 and makes Q1=1 and T will be 0 now
Now, Q1 which was 1 pass through D FF and go for furthur
For more clearity , check the picture
For taking T and D as 1 both picture will be like this
So, T and D both 1 will not work in this case
We have to take both FF as 0 initially
Then option B will only give correct value