Major Types of Patterns in Alphabetical Reasoning

Major Types of Patterns in Alphabetical Reasoning 

 

  1. Fixed Positional Shifts (Forward or Backward) - Practice
  2. Reversing Letters - Practice
  3. Alternating Shifts - Practice
  4. Positional Relationships (Letter Positions in Alphabet) - Practice
  5. Non-Alphabetical Relationships (Pattern-Based) - Practice
  6. Mirroring or Complementary Letters - Practice
  7. Skipping Letters - Practice
  8. Grouping or Clustering - Practice
  9. Cyclic or Modular Patterns - Practice
  10. Letter Substitution or Replacement - Practice
  11. Interleaving or Alternating Letters - Practice
  12. Anagram-Based Patterns - Practice


Fixed Positional Shifts variations and example problems for practice

Fixed Positional Shifts variations and example problems for practice

In alphabetical reasoning, the Fixed Positional Shifts category involves transforming letters by shifting them a fixed number of positions forward or backward in the alphabet (A=1, B=2, ..., Z=26). This is one of the most common pattern types in aptitude tests, as it is straightforward yet allows for variations in complexity. Below, I’ll outline the types of questions that can be asked within this category, identify the distinct varieties, and provide 10 Practice questions for each variety, complete with solutions and explanations.

Types of Questions in Fixed Positional Shifts

The Fixed Positional Shifts category can be broken down into distinct varieties based on the nature of the shift and the structure of the question. The key variations include:

  1. Uniform Forward Shift: All letters in a pair or word are shifted forward by a fixed number of positions (e.g., +2, +3). – View
  2. Uniform Backward Shift: All letters in a pair or word are shifted backward by a fixed number of positions (e.g., -2, -3). – View
  3. Mixed Forward and Backward Shifts (Same Question): Different parts of the question (e.g., different letters in a word or different pairs) use forward and backward shifts, but each shift is fixed. – View
  4. Wrap-Around Shifts (Modular Arithmetic): Shifts that go beyond Z or before A, wrapping around the alphabet (e.g., Z+1=A, A-1=Z). – View
  5. Shifts Applied to Sequences: The shift is applied to a sequence of letters or pairs, where the pattern continues across multiple terms. – View

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.



Uniform Backward Shift - Alphabetical Reasoning Problems

 2. Uniform Backward Shift - Alphabetical Reasoning Problems 

Description: All letters are shifted backward by a fixed number of positions (e.g., -2, -3). This is similar to forward shifts but in the reverse direction.

 

10 Practice Questions

  1. CD : AB :: KL : ?
    • Options: IJ, JK, HI, GH
    • Solution: IJ
    • Explanation: Each letter in CD is shifted backward by 2 (C-2=A, D-2=B). For KL (K-2=I, L-2=J), the answer is IJ.
  2. DOG : ALD :: CAT : ?
    • Options: YZQ, ZA, XYP, WXO
    • Solution: XZO
    • Explanation: Each letter in DOG is shifted backward by 3 (D-3=A, O-3=L, G-3=D). For CAT (C-3=Z, A-3=X, T-3=Q), the answer is XZO.
  3. XY : UV :: BC : ?
    • Options: YZ, ZA, AB, IJ
    • Solution: ZA
    • Explanation: Each letter in XY is shifted backward by 3 (X-3=U, Y-3=V). For BC (B-3=Z, C-3=A), the answer is ZA.
  4. PQR : MNO :: DEF : ?
    • Options: ABC, XYZ, YZA, ZAB
    • Solution: ABC
    • Explanation: Each letter in PQR is shifted backward by 3 (P-3=M, Q-3=N, R-3=O). For DEF (D-3=A, E-3=B, F-3=C), the answer is ABC.
  5. VW : TS :: RQ : ?
    • Options: PM, QN, RO, SP
    • Solution: PM
    • Explanation: Each letter in VW is shifted backward by 4 (V-4=R, W-4=S). For RQ (R-4=N, Q-4=M), the answer is PM.
  6. FUN : CRK :: BIG : ?
    • Options: YFD, ZGE, AFI, XEC
    • Solution: YFD
    • Explanation: Each letter in FUN is shifted backward by 2 (F-2=D, U-2=S, N-2=L). For BIG (B-2=Z, I-2=G, G-2=E), the answer is YFD.
  7. JK : FG :: PQ : ?
    • Options: LM, MN, KL, IJ
    • Solution: LM
    • Explanation: Each letter in JK is shifted backward by 4 (J-4=F, K-4=G). For PQ (P-4=L, Q-4=M), the answer is LM.
  8. MOON : FJHL :: SUN : ?
    • Options: OPI, PQI, QOK, RPK
    • Solution: POK
    • Explanation: Each letter in MOON is shifted backward by 5 (M-5=I, O-5=J, O-5=J, N-5=I). For SUN (S-5=N, U-5=P, N-5=I), the answer is POK.
  9. IJ : EF :: ST : ?
    • Options: OP, PQ, QR, LM
    • Solution: OP
    • Explanation: Each letter in IJ is shifted backward by 4 (I-4=E, J-4=F). For ST (S-4=O, T-4=P), the answer is OP.
  10. BAG : UXZ :: KEY : ?
    • Options: FJY, EKX, GLZ, HMU
    • Solution: FJY
    • Explanation: Each letter in BAG is shifted backward by 3 (B-3=Y, A-3=X, G-3=D). For KEY (K-3=I, E-3=B, Y-3=V), the answer is FJY.

 

Uniform Forward Shift - Alphabetical Reasoning Problems

1. Uniform Forward Shift - Alphabetical Reasoning Problems

Description: All letters are shifted forward by a fixed number of positions (e.g., +2, +3). This is the most common sub type, often applied to letter pairs or words.

 

10 Practice Questions

 

  1. AB : CD :: PQ : ?
    • Options: RS, ST, TU, UV
    • Solution: RS
    • Explanation: Each letter in AB is shifted forward by 2 (A+2=C, B+2=D). For PQ (P+2=R, Q+2=S), the answer is RS.
  2. CAT : FDW :: DOG : ?
    • Options: IRJ, JSI, KTK, LUL
    • Solution: IRJ
    • Explanation: Each letter in CAT is shifted forward by 3 (C+3=F, A+3=D, T+3=W). For DOG (D+3=I, O+3=R, G+3=J), the answer is IRJ.
  3. XY : ZA :: BC : ?
    • Options: JK, KL, LM, IJ
    • Solution: IJ
    • Explanation: Each letter in XY is shifted forward by 5 (X+5=C, Y+5=A, with wrap-around). For BC (B+5=I, C+5=J), the answer is IJ.
  4. LMN : QRS :: DEF : ?
    • Options: JKL, KLM, IJK, HIJ
    • Solution: IJK
    • Explanation: Each letter in LMN is shifted forward by 5 (L+5=Q, M+5=R, N+5=S). For DEF (D+5=I, E+5=J, F+5=K), the answer is IJK.
  5. PQ : TU :: VW : ?
    • Options: YZ, ZA, AB, XY
    • Solution: ZA
    • Explanation: Each letter in PQ is shifted forward by 4 (P+4=T, Q+4=U). For VW (V+4=Z, W+4=A), the answer is ZA.
  6. BIG : EJJ :: FUN : ?
    • Options: IVQ, JWR, KXS, LYT
    • Solution: IVQ
    • Explanation: Each letter in BIG is shifted forward by 3 (B+3=E, I+3=L, G+3=J). For FUN (F+3=I, U+3=X, N+3=Q), the answer is IVQ.
  7. EF : JK :: LM : ?
    • Options: QR, RS, ST, TU
    • Solution: QR
    • Explanation: Each letter in EF is shifted forward by 5 (E+5=J, F+5=K). For LM (L+5=Q, M+5=R), the answer is QR.
  8. SUN : VJQ :: MOON : ?
    • Options: PJHL, QKIM, RLJN, SMKO
    • Solution: QKIM
    • Explanation: Each letter in SUN is shifted forward by 2 (S+2=U, U+2=W, N+2=P). For MOON (M+2=O, O+2=Q, O+2=Q, N+2=P), the answer is QKIM.
  9. CD : IJ :: KL : ?
    • Options: QR, RS, ST, TU
    • Solution: QR
    • Explanation: Each letter in CD is shifted forward by 6 (C+6=I, D+6=J). For KL (K+6=Q, L+6=R), the answer is QR.
  10. HAT : KFA :: BAG : ?
    • Options: FJY, EKX, GLZ, HMU
    • Solution: FJY
    • Explanation: Each letter in HAT is shifted forward by 3 (H+3=K, A+3=D, T+3=W). For BAG (B+3=E, A+3=D, G+3=J), the answer is FJY.