Mixed Forward and Backward Shifts - Alphabetical Reasoning Problems

3. Mixed Forward and Backward Shifts - Alphabetical Reasoning Problems

Description: Different letters or parts of a pair/word use fixed forward and backward shifts (e.g., first letter +2, second letter -2). This adds complexity by requiring identification of multiple fixed shifts.

 

10 Practice Questions

1. AB : CE :: PQ : ?
• Options: SU, TV, RU, QT
• Solution: SU
• Explanation: In AB to CE, the first letter shifts forward by 2 (A+2=C), and the second shifts forward by 3 (B+3=E). For PQ (P+2=S, Q+3=U), the answer is SU.
2. CAT : AFU :: DOG : ?
• Options: FJY, EKX, GLZ, HMU
• Solution: FJY
• Explanation: In CAT to AFU, the first letter shifts backward by 2 (C-2=A), the second forward by 2 (A+2=C), and the third forward by 1 (T+1=U). For DOG (D-2=B, O+2=Q, G+1=I), the answer is FJY.
3. XY : UW :: BC : ?
• Options: ZA, YB, AC, IE
• Solution: ZA
• Explanation: In XY to UW, the first letter shifts backward by 1 (X-1=W), and the second backward by 2 (Y-2=W). For BC (B-1=A, C-2=A), the answer is ZA.
4. LMN : KOP :: DEF : ?
• Options: AFI, BGH, CGJ, DIK
• Solution: AFI
• Explanation: In LMN to KOP, the first letter shifts backward by 2 (L-2=J), the second forward by 1 (M+1=N), and the third forward by 2 (N+2=P). For DEF (D-2=B, E+1=F, F+2=I), the answer is AFI.
5. PQ : OS :: UV : ?
• Options: SW, TX, RY, QZ
• Solution: SW
• Explanation: In PQ to OS, the first letter shifts backward by 1 (P-1=O), and the second forward by 2 (Q+2=S). For UV (U-1=T, V+2=X), the answer is SW.
6. BIG : AJI :: FUN : ?
• Options: DWP, EVQ, FXS, GYT
• Solution: EVQ
• Explanation: In BIG to AJI, the first letter shifts backward by 1 (B-1=A), the second forward by 1 (I+1=J), and the third forward by 2 (G+2=I). For FUN (F-1=E, U+1=V, N+2=P), the answer is EVQ.
7. EF : IG :: KL : ?
• Options: NJ, OK, PI, QM
• Solution: NJ
• Explanation: In EF to IG, the first letter shifts forward by 3 (E+3=I), and the second forward by 1 (F+1=G). For KL (K+3=N, L+1=M), the answer is NJ.
8. SUN : QRM :: MOON : ?
• Options: JHLK, KIMP, LJNQ, MKOS
• Solution: KIMP
• Explanation: In SUN to QRM, the first letter shifts backward by 2 (S-2=Q), the second backward by 1 (U-1=T), and the third forward by 1 (N+1=O). For MOON (M-2=K, O-1=N, O+1=P, N+1=O), the answer is KIMP.
9. CD : AE :: JK : ?
• Options: IL, HM, GN, FO
• Solution: IL
• Explanation: In CD to AE, the first letter shifts backward by 1 (C-1=B), and the second forward by 1 (D+1=E). For JK (J-1=I, K+1=L), the answer is IL.
10. HAT : JCV :: BAG : ?
• Options: AFI, BGH, CGJ, DIK
• Solution: AFI
• Explanation: In HAT to JCV, the first letter shifts forward by 1 (H+1=I), the second forward by 2 (A+2=C), and the third backward by 1 (T-1=S). For BAG (B+1=C, A+2=C, G-1=F), the answer is AFI.