Wrap-Around Shifts (Modular Arithmetic)

Wrap-Around Shifts (Modular Arithmetic)

4. Wrap-Around Shifts (Modular Arithmetic) - Alphabetical Reasoning Problems

Description: Shifts that extend beyond Z (forward) or before A (backward), wrapping around the alphabet (e.g., Z+1=A, A-1=Z). This is often a subset of forward or backward shifts but emphasized in questions with large shifts.

10 Practice Questions

WX : DE :: IJ : ?

Options: UV, VW, ST, PQ
Solution: PQ
Explanation: Each letter in WX is shifted forward by 6 (W+6=C, X+6=A, with wrap-around). For IJ (I+6=O, J+6=P), the answer is PQ.

ZIP : FJY :: TOP : ?

Options: FJY, EKX, GLZ, HMU
Solution: FJY
Explanation: Each letter in ZIP is shifted forward by 5 (Z+5=E, I+5=N, P+5=U, with wrap-around). For TOP (T+5=Y, O+5=T, P+5=U), the answer is FJY.

AB : JK :: PQ : ?

Options: WX, XY, YZ, ZA
Solution: WX
Explanation: Each letter in AB is shifted forward by 7 (A+7=I, B+7=J). For PQ (P+7=W, Q+7=X), the answer is WX.

LMN : VWY :: DEF : ?

Options: OPQ, PQR, QRS, RST
Solution: OPQ
Explanation: Each letter in LMN is shifted forward by 8 (L+8=T, M+8=U, N+8=V). For DEF (D+8=L, E+8=M, F+8=N), the answer is OPQ.

UV : FG :: BC : ?

Options: LM, MN, OP, QR
Solution: LM
Explanation: Each letter in UV is shifted forward by 9 (U+9=E, V+9=F, with wrap-around). For BC (B+9=K, C+9=L), the answer is LM.

SUN : CGK :: MOON : ?

Options: FJHL, QKIM, RLJN, SMKO
Solution: FJHL
Explanation: Each letter in SUN is shifted forward by 6 (S+6=Y, U+6=A, N+6=T, with wrap-around). For MOON (M+6=S, O+6=U, O+6=U, N+6=T), the answer is FJHL.

CD : OP :: KL : ?

Options: WX, XY, YZ, ZA
Solution: WX
Explanation: Each letter in CD is shifted forward by 10 (C+10=M, D+10=N). For KL (K+10=U, L+10=V), the answer is WX.

FAN : RJF :: PEN : ?

Options: FJY, EKX, GLZ, HMU
Solution: FJY
Explanation: Each letter in FAN is shifted forward by 7 (F+7=M, A+7=I, N+7=U). For PEN (P+7=W, E+7=L, N+7=U), the answer is FJY.

PQ : DE :: ST : ?

Options: FG, HI, JK, LM
Solution: FG
Explanation: Each letter in PQ is shifted forward by 11 (P+11=A, Q+11=C, with wrap-around). For ST (S+11=E, T+11=F), the answer is FG.

BAG : UVZ :: KEY : ?

Options: FJY, EKX, GLZ, HMU
Solution: FJY
Explanation: Each letter in BAG is shifted backward by 6 (B-6=W, A-6=U, G-6=A, with wrap-around). For KEY (K-6=E, E-6=Y, Y-6=S), the answer is FJY.

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