CONDUCTION
cat x gives out more energy through conduction
fur is an insulator, so is a poor conductor of heat
fur traps air, air is a poor conductor of heat
cat y has fur, cat x does not
CONVECTION
cat x transfers more energy through convection
convection = hot air rising. fur traps air, so it cannot rise, and not create a convection current
RADIATION
Cat y is gives out more energy through IR radiation
black is the best emitter of IR Radiation, cat has black fur
cat x is light, this reflects IR radiation, and is a poor emitter
cat x has bigger ears, therefore is going to give out more infrared radiation