Letter Shifting Tutorial ➡️⬅️✅

Master right (forward) and left (backward) shifts, position-based movements, multi-step shifts & wrap-around logic. Perfect for competitive exams! 🚀

What You'll Learn 🎯

• Perform right (after) and left (before) shifts by any k steps ➡️⬅️
• Translate letters ↔ positions to compute shifts correctly 🔄
• Solve multi-step mixed shifts and compound operations 🔗
• Handle edge cases near A and Z with wrap-around logic 🔄
• Master nested and complex shifting patterns 🧩

Core Rules 📌

• Step 1: Convert letter to position: A=1, B=2, …, Z=26
• Step 2: Apply shift: Right shift = +k, Left shift = −k
• Step 3: Convert result back to a letter
• Direction: Right = forward/after, Left = backward/before
• Wrap-around: If result 26 or 1, use circular logic

Examples with Step-by-Step Solutions 🧪

Right Shifts ➡️

Example 1: 3 right of K

1. K = 11
2. 11 + 3 = 14
3. 14 = N
4. Answer: N

Example 2: 5 right of J

1. J = 10
2. 10 + 5 = 15
3. 15 = O
4. Answer: O

Left Shifts ⬅️

Example 1: 2 left of M

1. M = 13
2. 13 − 2 = 11
3. 11 = K
4. Answer: K

Example 2: 4 left of P

1. P = 16
2. 16 − 4 = 12
3. 12 = L
4. Answer: L

Compound Shifts 🔗

Example: 4 right then 2 left from G

1. G = 7
2. First: 7 + 4 = 11 (K)
3. Then: 11 − 2 = 9 (I)
4. Answer: I

Nested Shifts 🧩

Example: 3 right of (2 right of E)

1. E = 5
2. Inner: 5 + 2 = 7 (G)
3. Outer: 7 + 3 = 10 (J)
4. Answer: J

Edge Cases & Wrap-Around Logic 🔄

Near Z (End of Alphabet)

Example: 3 right of Y

1. Y = 25
2. 25 + 3 = 28
3. 28 26, so wrap: 28 − 26 = 2
4. 2 = B
5. Answer: B (wraps around)

Near A (Start of Alphabet)

Example: 3 left of C

1. C = 3
2. 3 − 3 = 0
3. 0 1, so wrap: 26 + 0 = 26
4. 26 = Z
5. Answer: Z (wraps around)

Large Right Shift

Example: 15 right of A

1. A = 1
2. 1 + 15 = 16
3. 16 = P
4. Answer: P

Large Left Shift

Example: 12 left of Z

1. Z = 26
2. 26 − 12 = 14
3. 14 = N
4. Answer: N

Advanced Techniques 🚀

Self-Reference Shift

Example: Shift F right by its own position

1. F = 6
2. Shift by 6: 6 + 6 = 12
3. 12 = L
4. Answer: L

Multiple Operations

Example: Sum of (2 right of B) + (3 right of C)

1. B + 2 = 4 (D)
2. C + 3 = 6 (F)
3. Sum: 4 + 6 = 10
4. Answer: 10

Difference Calculation

Example: (5 right of A) − (2 right of A)

1. A + 5 = 6 (F)
2. A + 2 = 3 (C)
3. Difference: 6 − 3 = 3
4. Answer: 3

Middle Letter Finding

Example: Middle between (3 right of A) and (3 right of G)

1. A + 3 = 4 (D)
2. G + 3 = 10 (J)
3. Middle: (4+10)÷2 = 7 (G)
4. Answer: G

Real Exam Questions 📝

Question 1

Q: Which letter is 7 positions to the right of the letter that is 3 positions to the left of Q?

Solution:

1. Q = 17
2. 3 left: 17 − 3 = 14 (N)
3. 7 right: 14 + 7 = 21 (U)
4. Answer: U

Question 2

Q: If you shift M right by 5, then left by 3, where do you end?

Solution:

1. M = 13
2. Right 5: 13 + 5 = 18 (R)
3. Left 3: 18 − 3 = 15 (O)
4. Answer: O

Question 3

Q: What is 2 positions right of Z (with wrap-around)?

Solution:

1. Z = 26
2. 26 + 2 = 28
3. Wrap: 28 − 26 = 2 (B)
4. Answer: B

Question 4

Q: In the sequence B, E, H, K, N, what comes next? (pattern: +3)

Solution:

1. Pattern: +3 each time
2. N = 14
3. 14 + 3 = 17 (Q)
4. Answer: Q

Speed Techniques ⚡

• Memorize positions: Know A=1, E=5, J=10, O=15, T=20, Z=26
• Mental arithmetic: Practice adding/subtracting quickly
• Use anchors: Find nearest known position, then shift
• Visualize alphabet: See the alphabet line in your mind
• Check boundaries: Always verify if result is between 1-26
• Simplify compound shifts: Combine operations (e.g., +4−2 = +2)

Practice Challenge 🎮

Try these progressively harder problems:

1. Level 1: What is 2 right of H?
2. Level 2: What is 4 left of P?
3. Level 3: What is 3 right then 2 left from G?
4. Level 4: What is 3 right of (2 right of E)?
5. Level 5: What is 2 right of Z (with wrap)?

Answers: 1) J 2) L 3) H 4) J 5) B

Common Mistakes to Avoid ⚠️

• Direction confusion: Right = add (+), Left = subtract (−)
• Off-by-one errors: Make sure to count the shift correctly
• Forgetting wrap-around: Check if result 26 or 1
• Compound shift errors: Do operations in correct order
• Position conversion: Always convert letter to position first
• Verification: Always check your answer by counting

Solving Strategy 🔍

1. Identify the starting letter and convert to position
2. Determine the direction: Right (+) or Left (−)
3. Apply the shift: Add or subtract the number of steps
4. Check boundaries: Is result between 1 and 26?
5. Handle wrap-around: If needed, apply circular logic
6. Convert back: Turn position into letter
7. Verify: Count on alphabet to confirm

Practice Problems by Difficulty 📝

Easy 🟢

• 2 right of D?
• 3 left of M?
• 1 right of Y?
• 1 left of B?
• 5 right of K?

Medium 🟡

• 8 left of W?
• 6 right of C?
• 4 right then 2 left from G?
• 3 left then 5 right from N?
• 10 right of D?

Hard 🔴

• 15 right of A?
• 12 left of Z?
• 3 right of (2 right of E)?
• 4 left of (3 left of Q)?
• 2 right of Z (wrap)?

Ready to Practice? 🎯

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