Correct Answer: 5247

Solution : Given:
GIVE is coded as 5137 and BAT is coded as 924.

Here, each letter of the words GIVE and BAT is coded with an equivalent number given in the code –
G→5; I→1; V→3; E→7
Thus, GATE is coded as 5137.
And, BAT is coded as 924 –
B→9; A→2; T→4
Thus, BAT is coded as 924.
Now, all the letters of GATE are given in GIVE and BAT, therefore, the code for GATE is –
G→5; A→2; T→4; E→7

Thus, the code for GATE is 5247. Hence, the third option is correct.