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.

Shifts Applied to Sequences

 6. 6. Shifts Applied to Sequences - Alphabetical Reasoning Questions

Description: The fixed shift is applied across a sequence of letters or pairs, where the pattern continues to generate the next term (e.g., AB, CD, EF, ?).

 

10 Practice Questions

  1. AB, CD, EF, ?
    • Options: GH, HI, IJ, JK
    • Solution: GH
    • Explanation: Each pair in the sequence shifts forward by 2 (A+2=C, B+2=D; C+2=E, D+2=F). For EF (E+2=G, F+2=H), the answer is GH.
  2. CAT, FDW, IKI, ?
    • Options: MJY, NKZ, OLA, PMB
    • Solution: MJY
    • Explanation: Each letter in the sequence shifts forward by 3 (C+3=F, A+3=D, T+3=W; F+3=I, D+3=G, W+3=Z). For IKI (I+3=L, K+3=N, I+3=L), the answer is MJY.
  3. XY, UV, PQ, ?
    • Options: LM, MN, NO, OP
    • Solution: LM
    • Explanation: Each pair shifts backward by 3 (X-3=U, Y-3=V; U-3=R, V-3=S). For PQ (P-3=M, Q-3=N), the answer is LM.
  4. LMN, IJK, FGJ, ?
    • Options: ABC, BCD, CDE, DEF
    • Solution: CDE
    • Explanation: Each letter shifts backward by 3 (L-3=I, M-3=J, N-3=K). For FGJ (F-3=C, G-3=D, J-3=G), the answer is CDE.
  5. PQ, TU, WY, ?
    • Options: IJ, JK, KL, LM
    • Solution: IJ
    • Explanation: Each pair shifts forward by 4 (P+4=T, Q+4=U; T+4=X, U+4=Y). For WY (W+4=A, Y+4=I), the answer is IJ.
  6. BIG, EJJ, IKM, ?
    • Options: MJY, NKZ, OLA, PMB
    • Solution: MJY
    • Explanation: Each letter shifts forward by 3 (B+3=E, I+3=L, G+3=J). For IKM (I+3=L, K+3=N, M+3=P), the answer is MJY.
  7. EF, JK, RS, ?
    • Options: IJ, KL, WX, ZA
    • Solution: IJ
    • Explanation: Each pair shifts forward by 5 (E+5=J, F+5=K; J+5=O, K+5=P). For RS (R+5=W, S+5=X), the answer is IJ.
  8. SUN, POK, LFH, ?
    • Options: FJY, EKX, GLZ, HMU
    • Solution: FJY
    • Explanation: Each letter shifts backward by 3 (S-3=P, U-3=R, N-3=K). For LFH (L-3=I, F-3=C, H-3=E), the answer is FJY.
  9. CD, IJ, PQ, ?
    • Options: WX, XY, YZ, ZA
    • Solution: WX
    • Explanation: Each pair shifts forward by 6 (C+6=I, D+6=J; I+6=O, J+6=P). For PQ (P+6=V, Q+6=W), the answer is WX.
  10. HAT, AFU, XIS, ?
    • Options: FJY, EKX, GLZ, HMU
    • Solution: FJY
    • Explanation: Each letter shifts backward by 2 (H-2=F, A-2=Y, T-2=R). For XIS (X-2=V, I-2=G, S-2=Q), the answer is FJY.

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

 

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.

 

Alphabetical Letter Shifting problems - explanations - answers

Alphabetical Letter Shifting questions are usually asked in a puzzle/riddle format, where the transformation logic must be deduced. Questions are presented in exam-style, along with clear explanations and answers:


📝 Alphabetical Letter Shifting Test – 20 Exam-Style Questions with Explanation


🔹 1.

Q: If DOG is written as EPH, how is CAT written in that code?
Explanation: D→E (+1), O→P (+1), G→H (+1) → Rule: +1 shift
Apply to CAT: C→D, A→B, T→U
Answer: DBU


🔹 2.

Q: If CAT is coded as BZS, how is DOG written in that code?
Explanation: C→B (-1), A→Z (-1), T→S (-1) → Rule: -1 shift
DOG: D→C, O→N, G→F
Answer: CNF


🔹 3.

Q: If BOOK is written as DQQM, how will LOOK be written?
Explanation: B→D (+2), O→Q, O→Q, K→M → Rule: +2
LOOK: L→N, O→Q, O→Q, K→M
Answer: NQQM


🔹 4.

Q: In a certain code, LION is written as JGML. How is TIGER written?
Explanation: L→J (-2), I→G, O→M, N→L → Rule: -2
TIGER: T→R, I→G, G→E, E→C, R→P
Answer: RG ECP


🔹 5.

Q: If GAME is coded as JDPH, how will PLAY be written?
Explanation: G→J (+3), A→D, M→P, E→H → Rule: +3
P→S, L→O, A→D, Y→B
Answer: SODB


🔹 6.

Q: If KING is written as HFKD, how is QUEEN coded in the same manner?
Explanation: K→H (-3), I→F, N→K, G→D → Rule: -3
Q→N, U→R, E→B, E→B, N→K
Answer: NRBBK


🔹 7.

Q: If TREE becomes USFF, what is the code for BUSH?
Explanation: T→U (+1), R→S, E→F, E→F → Rule: +1
B→C, U→V, S→T, H→I
Answer: CVTI


🔹 8.

Q: In a certain language, FISH is written as EHRG. What is the code for BOAT?
Explanation: F→E (-1), I→H, S→R, H→G → Rule: -1
B→A, O→N, A→Z, T→S
Answer: ANZS


🔹 9.

Q: If ZEBRA is written as BGDTC, then how is HORSE written?
Explanation: Z→B (+2), E→G, B→D, R→T, A→C → Rule: +2
H→J, O→Q, R→T, S→U, E→G
Answer: JQTUG


🔹 10.

Q: If HOUSE is coded as FMSQC, what is the code for MOUSE?
Explanation: H→F (-2), O→M, U→S, S→Q, E→C → Rule: -2
M→K, O→M, U→S, S→Q, E→C
Answer: KMSQC


🔹 11.

Q: If APPLE becomes BQQMF, how is GRAPE written?
Explanation: A→B (+1), P→Q, P→Q, L→M, E→F → Rule: +1
G→H, R→S, A→B, P→Q, E→F
Answer: HSBQF


🔹 12.

Q: If STUDY is coded as RSTCX, then how is HARDY written?
Explanation: Each letter shifted -1
H→G, A→Z, R→Q, D→C, Y→X
Answer: GZQCX


🔹 13.

Q: If TABLE is written as VCDNG, how is CHAIR written?
Explanation: T→V (+2), A→C, B→D, L→N, E→G
C→E, H→J, A→C, I→K, R→T
Answer: EJCKT


🔹 14.

Q: If CHAIR is written as AFYGP, how is BENCH written?
Explanation: C→A (-2), H→F, A→Y, I→G, R→P → Rule: -2
B→Z, E→C, N→L, C→A, H→F
Answer: ZCLAF


🔹 15.

Q: If WATER is coded as ZDWHU, then how is WHEEL coded?
Explanation: W→Z (+3), A→D, T→W, E→H, R→U → Rule: +3
W→Z, H→K, E→H, E→H, L→O
Answer: ZKHHO


🔹 16.

Q: If NIGHT becomes KFDEQ, what is the code for RIGHT?
Explanation: N→K (-3), I→F, G→D, H→E, T→Q → Rule: -3
R→O, I→F, G→D, H→E, T→Q
Answer: OFDEQ


🔹 17.

Q: If HELLO is written as IDMKP (alternate +1, -1…), how is WORLD written?
Explanation: H→I (+1), E→D (-1), L→M (+1), L→K (-1), O→P (+1)
Same pattern: W→X, O→N, R→S, L→K, D→E
Answer: XNSKE


🔹 18.

Q: If PLANE becomes QMBOF, what is the code for PLANT?
Explanation: +1 for all letters
P→Q, L→M, A→B, N→O, E→F
T→U
Answer: QMBOU


🔹 19.

Q: If EARTH is coded as CYP RF, how is PLUTO written?
Explanation: -2 from each letter
E→C, A→Y, R→P, T→R, H→F
P→N, L→J, U→S, T→R, O→M
Answer: NJSRM


🔹 20.

Q: If SMILE is coded as UKKJG using alternate shifting (+2, -2, +2, -2, +2), how is LAUGH coded?
Explanation:
S→U (+2), M→K (-2), I→K (+2), L→J (-2), E→G (+2)
L→N (+2), A→Y (-2), U→W (+2), G→E (-2), H→J (+2)
Answer: NYWEJ



Alphabet Coding-Decoding Test

 

20 example problems with explanations for the Alphabet Coding-Decoding Test, a popular topic in reasoning sections of competitive exams. These test your ability to recognize patterns in how letters or words are coded based on alphabet positions, reversals, shifts, or other logic.


🔹 Problem 1

Q: If CAT is coded as DBU, how is DOG coded?

Solution:
Each letter is shifted +1
C → D, A → B, T → U
DOG → D(+1)=E, O(+1)=P, G(+1)=H
Answer: EPH


🔹 Problem 2

Q: If BALL is coded as YZOO, how is CALL coded?

Solution:
B = 2 → Y (27-2), A = 1 → Z, L = 12 → O
So reverse position used: A = Z, B = Y, L = O
CALL → C=3 → X, A=1 → Z, L=12 → O
Answer: XZOO


🔹 Problem 3

Q: In a certain code, TRAP is written as GSZK. How is STOP written?

Solution:
T=20→G (27-20=7), R=18→S, A=1→Z, P=16→K
Pattern: reverse position for each letter
S=19 → H, T=20 → G, O=15 → L, P=16 → K
Answer: HGLK


🔹 Problem 4

Q: If MOBILE is coded as NPCKMF, how is LAPTOP coded?

Solution:
Shift letters alternately +1 and -1:
M(+1)=N, O(-1)=N, B(+1)=C, I(-1)=H, L(+1)=M, E(-1)=D
L(+1)=M, A(-1)=@ (invalid) → Z, P(+1)=Q, T(-1)=S, O(+1)=P, P(-1)=O
Answer: MZQSPO


🔹 Problem 5

Q: If APPLE is coded as ELPPA, how is HOUSE coded?

Solution:
Reverse the word
HOUSE → ESUOH
Answer: ESUOH


🔹 Problem 6

Q: If ROAD is coded as URDG, how is PATH coded?

Solution:
Each letter is shifted +3
R→U, O→R, A→D, D→G
P→S, A→D, T→W, H→K
Answer: SDWK


🔹 Problem 7

Q: If KING is coded as 15-18-17-13, how is LION coded?

Solution:
K=11→11+4=15, I=9→+9=18, N=14→+3=17, G=7→+6=13
Pattern: Add increasing values (4,9,3,6)
L=12+4=16, I=9+9=18, O=15+3=18, N=14+6=20
Answer: 16-18-18-20


🔹 Problem 8

Q: If CRY is coded as XIB, how is JOY coded?

Solution:
C→X (26-3+1), R→I (26-18+1), Y→B (26-25+1)
Same logic:
J=10 → Q, O=15 → K, Y=25 → B
Answer: QKB


🔹 Problem 9

Q: If SWEET is coded as TVFFU, how is HONEY coded?

Solution:
Each letter +1
S→T, W→X, E→F, E→F, T→U
H→I, O→P, N→O, E→F, Y→Z
Answer: IPOFZ


🔹 Problem 10

Q: If DELHI is coded as EDKGH, how is MUMBAI coded?

Solution:
D→E(+1), E→D(-1), L→K(-1), H→G(-1), I→H(-1)
So pattern: 1st +1, rest -1
M→N, U→T, M→L, B→A, A→Z, I→H
Answer: NTLAZH


🔹 Problem 11

Q: If STAR is coded as UVCT, how is MOON coded?

Solution:
S(+1)=T, T(+1)=U, A(+1)=B, R(+1)=S → but actual code is UVCT
So each letter is +2

Apply same to MOON:
M→O, O→Q, O→Q, N→P
Answer: OQQP


🔹 Problem 12

Q: If RAJU is coded as IZQF, how is AMAN coded?

Solution:
R→I (-17), A→Z (-1), J→Q (+7), U→F (-15)
No consistent shift. Let’s use reverse alphabet positions:
R=18 → I (27-18=9), A=1 → Z (27-1=26), J=10 → Q (27-10=17), U=21 → F (27-21=6)

Try for AMAN:
A=1→Z, M=13→N, A=1→Z, N=14→M
Answer: ZNZM


🔹 Problem 13

Q: If TABLE is coded as GZOVV, how is CHAIR coded?

Solution:
Use reverse position logic:
T=20→7, A=1→26, B=2→25, L=12→15, E=5→22
So code = GZOVV

CHAIR:
C=3→24=X, H=8→19=S, A=1→26=Z, I=9→18=R, R=18→9=I
Answer: XSZRI


🔹 Problem 14

Q: If COLD is coded as DPME, how is HEAT coded?

Solution:
C→D (+1), O→P (+1), L→M (+1), D→E (+1)
Each letter is shifted +1
H→I, E→F, A→B, T→U
Answer: IFBU


🔹 Problem 15

Q: If FISH is coded as URHS, how is BOAT coded?

Solution:
F → U (F=6, U=21 → reverse = 27-6 = 21),
I → R (I=9, R=18 → reverse = 27-9 = 18)
Same pattern: reverse alphabet positions

B=2 → 25 = Y, O=15 → 12 = L, A=1 → 26 = Z, T=20 → 7 = G
Answer: YLZG


🔹 Problem 16

Q: If WORK is written as XPUL, how is PLAY written?

Solution:
W→X (+1), O→P (+1), R→U (+3), K→L (+1)
Pattern may vary

Try same: P→Q, L→M, A→D (+3), Y→Z
Answer: QMDZ


🔹 Problem 17

Q: If PAPER is coded as QBQFS, how is PEN coded?

Solution:
Each letter +1
P→Q, A→B, P→Q, E→F, R→S

P→Q, E→F, N→O
Answer: QFO


🔹 Problem 18

Q: If LEMON is written as MFNPO, how is GRAPE written?

Solution:
L→M, E→F, M→N, O→P, N→O → each letter +1
G→H, R→S, A→B, P→Q, E→F
Answer: HSBQF


🔹 Problem 19

Q: If KING is coded as KJOF, how is QUEEN coded?

Solution:
K→K (same), I→J (+1), N→O (+1), G→F (-1)
Check pattern is mixed, but assume:
Q→Q, U→V, E→F, E→F, N→M
Answer: QVFFM


🔹 Problem 20

Q: If FAST is coded as UZHG, how is SLOW coded?

Solution:
F=6 → U (reverse = 27-6), A=1 → Z, S=19 → H, T=20 → G
Same pattern: reverse positions

S=19 → 8 = H
L=12 → 15 = O
O=15 → 12 = L
W=23 → 4 = D
Answer: HOLD