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Question

In the following triads, each group of letters is related to the subsequent one following a certain logic.

TIME – WGPC – HSLZ
LONG – OMQE – JTRR

Which of the following are correct matches as per the given code language?

(i) WARD(W) ZYVB(A) GXCD
(ii) CALM(X) ZYUB(B) PQDI
(Y) FYNK(C) PRDI
(Z) FYOK(D) GXDC

The correct answer is

(i)-(X)-(D) , (ii)-(Z)-(C)

In each triad the second group comes from the first by changing the alphabet positions of its letters alternately by +3 and −2. Applying the same change to WARD and CALM fixes the middle group, and only one choice gives the right middle groups for both words.

Step 1 — Check the rule: TIME → T+3 = W, I−2 = G, M+3 = P, E−2 = C, giving WGPC. LONG → L+3 = O, O−2 = M, N+3 = Q, G−2 = E, giving OMQE. Both match.

Step 2 — WARD → W+3 = Z, A−2 = Y (counting back past the start of the alphabet), R+3 = U, D−2 = B, giving ZYUB, which is (X).

Step 3 — CALM → C+3 = F, A−2 = Y, L+3 = O, M−2 = K, giving FYOK, which is (Z).

Step 4 — The third group comes from the second by writing it in reverse and moving the letters alternately +5 and +3: WGPC → CPGW → HSLZ and OMQE → EQMO → JTRR. In the same way ZYUB → BUYZ → GXDC (counting on past Z), which is (D), and FYOK → KOYF → PRDI, which is (C). Only one choice pairs (i) with (X) and (D), and (ii) with (Z) and (C).

ZYVB (W) has V where U is needed, and FYNK (Y) has N where O is needed, so every choice using (W) or (Y) is ruled out.

(i)-(X)-(D) , (ii)-(Z)-(C) option is correct.

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