A dipole is placed in an electric field as shown. In which direction will it move?

As the electric field will loose its strength in the rightward direction. So, the force on (+q) will be more then the force on (-q)

$\left|{\overrightarrow{\mathrm{F}}}_1\right|>\left|{\overrightarrow{\mathrm{F}}}_2\right|$
Hence the dipole will move towards right as in the direction of electric field potential reduces