Q27 - Electric Field direction is always from +ve to -ve plate. SO if the electric field direction is away from you means the +ve plate is closer to you than the -ve plate, therefore the electron beam goes towards the +ve plate which is towards you so the answer is D!
Q34 - Total Resistance is 1.5R ---> so I^2 = P / 1.5R = 8 A^2 ---> I = 2.83 A
Here I took the value of R as 1 ohm, you can take it as any value you want as long as you are cosistent with all the resistors P,Q and R.
So P across P = (2.83)^2 x 1 = 8 Watts
P across Q = (2.83 / 2 ) ^2 x 1 = 2 Watts
P across R = P across R2 = 2 Watts.
Answer is A
There you have it!