Remark When you are asked a question like this, the first thing to do is search out a formula and put some limits on it.
Formula I = E/R which comes from E = IR. To get to the derived formula, divide both sides by R E/R = I*R/R E/R = I
Discussion This is an inverse relationship. That means that as one goes up the other one will go down.
So in this case you keep E constant and you manipulate R and look at your results for I Case 1 Let us say that E = 10 volts Let us also say the R = 10 ohms
I = E/R I = 10/10 I = 1 ohm
Case Two Let's raise the Resistance to 100 ohms E = 10 R = 100 I = 10/100 = 0.1
Conclusion As the Resistance goes up, the current goes down. Answer: A