Here there are 2 patterns to be observed on the 2 sets of alternating alphabets The first set of alternating alphabets are $$P,P,R$$ from $$PAPER$$ The second set of alternating alphabets are $$A,E$$ from $$PAPER$$
In the first set, the code is formed by a pattern of skipping alphabets progressively .
For example in the first set $$P,P,R$$, The first $$P$$ is coded as $$S$$ after skipping $$2$$ alphabets ($$ Q , R$$)
The second $$P$$ is coded as $$T$$ after skipping $$3$$ alphabets ($$Q, R, S$$)
The $$R$$ is coded as $$W$$ after skipping $$4$$ alphabets ($$S,T,U, V$$)
In the second set, the code is formed by a pattern of skipping only $$1$$ alphabet.
For example, in the second set $$A,E$$ $$A$$ is coded as $$C$$ after skipping $$1$$ alphabet ($$ B$$)
$$E$$ is coded as $$G$$ after skipping $$1$$ alphabet ($$ F$$)
We need to separate the word $$MOTHER$$ from the question into 2 sets of alphabets $$\rightarrow$$ The first set being $$M,T,E$$
$$\rightarrow$$ The second set being $$O,H, R$$
Similar to the above pattern the first set ($$M,T,E$$) needs to be coded by a pattern of skipping alphabets progressively $$\rightarrow$$ $$M$$ gets coded as $$P$$ (by skipping 2 alphabets $$N,O$$)
$$\rightarrow$$ $$T$$ gets coded as $$X$$ (by skipping 3 alphabets $$U,V,W$$)
$$\rightarrow$$ $$E$$ gets coded as $$J$$ (by skipping 4 alphabets $$F,G,H,I$$) The second pattern ( $$O,H, R$$) is coded by skipping only $$1$$ alphabet all the time $$\rightarrow$$ $$O$$ is coded as $$Q$$ after skipping $$1$$ alphabet ($$ P$$)
$$\rightarrow$$ $$H$$ is coded as $$J$$ after skipping $$1$$ alphabet ($$ I $$)
$$\rightarrow$$ $$R$$ is coded as $$T$$ after skipping $$1$$ alphabet ($$ S$$)
So, the word $$MOTHER$$ gets coded as $$PQXJJT$$, which is option $$C$$