1. Which word from Column B goes in Column A, and why?

A                    B
BEAR           CAKE
GIVE            KITE
SAKE           MOON
WARD          TUNE
                      VEST

2. Which word in Column B goes in Column A, and why?

A                        B
BLEND             SHIVER
BLOWN            PRONE
GRAPES           PLASTIC
PLATE              CRUST
STEEL              CLUES

Answers:

1. TUNE...........Each word in Column A can be preceded by FOR to make a valid word:

FORBEAR
FORGIVE
FORSAKE
FORWAR
FORTUNE 

2. PRONE............The first two letters of each word in Column A can be dropped and a valid word remains:

END
OWN
APES
ATE
EEL 
ONE