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Question

In the following triads, each group of letters is related to the subsequent one following a certain logic. Both triads follow the same logic.
PLUS - TFYM - BIGP
AUNT - EORN - MRZQ
Which of the following are correct matches as per the given logic?

(i) OPEN(W) XMTH(A) AMQK
(ii) TURN(X) SNTK(B) AWKD
(Y) SJIH(C) FRDK
(Z) XOVH(D) RFZN

The correct answer is

(i) - (Y) - (A) , (ii) - (Z) - (C)

Find the rule from the triads using letter positions (A = 1 ... Z = 26).

PLUS to TFYM: P+4 = T, L–6 = F, U+4 = Y, S–6 = M
TFYM to BIGP: T+8 = B, F+3 = I, Y+8 = G, M+3 = P
AUNT to EORN to MRZQ follows the same +4, –6, +4, –6 and then +8, +3, +8, +3 shifts.

OPEN: O+4 = S, P–6 = J, E+4 = I, N–6 = H = SJIH
SJIH: S+8 = A, J+3 = M, I+8 = Q, H+3 = K = AMQK

TURN: T+4 = X, U–6 = O, R+4 = V, N–6 = H = XOVH
XOVH: X+8 = F, O+3 = R, V+8 = D, H+3 = K = FRDK

Check: (i) gives (Y) and then (A); (ii) gives (Z) and then (C), so the matching pairs are (i) - (Y) - (A) and (ii) - (Z) - (C).

Hence, (i) - (Y) - (A) , (ii) - (Z) - (C).

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