Correct Answer: 52

Solution : Given:
REPLACE is coded as 67, and PETRIFY is coded as 106.

Add the positional values of the letters of the given word REPLACE, then add the total number of letters in the word to obtain the required code –
R→18; E→5; P→16; L→12; A→1; C→3; E→5
Now, add the positional values of the given word REPLACE, then add the total number of letters in the word –
18 + 5 + 16 + 12 + 1 + 3 + 5 = 60 + 7 = 67
Thus, REPLACE is coded as 67.
And, PETRIFY is coded as 106 –
P→16; E→5; T→20; R→18; I→9; F→6; Y→25
Now, add the positional values of the given word PETRIFY, then add the total number of letters in the word –
16 + 5 + 20 + 18 + 9 + 6 + 25 = 99 + 7 = 106
Thus, PETRIFY is coded as 106.
Similarly, follow the same pattern for CRACKED –
C→3; R→18; A→1; C→3; K→11; E→5; D→4
Now, add the positional values of the given word CRACKED, then add the total number of letters in the word –
3 + 18 + 1 + 3 + 11 + 5 + 4 = 45 + 7 = 52

So, CRACKED is coded as 52. Hence, the first option is correct.