Correct Answer: 52

Solution : Given:
TOP is coded as 102 –

Add the position value of the letters of the given word of TOP then multiply the resultant term by 2, to obtain the required code –
T→20; O→15; P→16
Now, add the position value of the given word TOP and multiply the resultant term by 2 –
(20 + 15 + 16) × 2 = 51 × 2 = 102
Thus, TOP is coded as 102.
And, BAD is coded as 14 –
B→2; A→1; D→4
Now, add the position value of the given word BAD and multiply the resultant term by 2 –
(2 + 1 + 4) × 2 = 7 × 2 = 14
Thus, BAD is coded as 14.
Similarly, follow the same pattern for DOG→
D→4; O→15; G→7
Now, add the position value of the given word DOG and multiply the resultant term by 2 –
(4 + 15 + 7) × 2 = 26 × 2 = 52

Thus, DOG is coded as 52. Hence, the second option is correct.