The correct option is
B PQXJJT
Here there are 2 patterns to be observed on the 2 sets of alternating alphabetsThe first set of alternating alphabets are P,P,R from PAPERThe 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
→ The first set being M,T,E
→ 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
→ M gets coded as P (by skipping 2 alphabets N,O)
→ T gets coded as X (by skipping 3 alphabets U,V,W)
→ 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
→ O is coded as Q after skipping 1 alphabet (P)
→ H is coded as J after skipping 1 alphabet (I)
→ R is coded as T after skipping 1 alphabet (S)
So, the word MOTHER gets coded as PQXJJT, which is option C