Prime Position

Prime Position problems involve letters at positions that are prime numbers (2→B, 3→C, 5→E, 7→G, 11→K, 13→M, 17→Q, 19→S, 23→W). These problems test your knowledge of prime numbers and their corresponding alphabet positions.

10Worksheets
200+Practice Questions
HardDifficulty
2-3 hoursHours to Master

Introduction to Prime Position

Prime Position problems involve letters at positions that are prime numbers (2→B, 3→C, 5→E, 7→G, 11→K, 13→M, 17→Q, 19→S, 23→W). These problems test your knowledge of prime numbers and their corresponding alphabet positions.

Prerequisites

Alphabet position knowledge Prime numbers up to 26 (2,3,5,7,11,13,17,19,23) Position-to-letter conversion Prime number recognition
Why This Matters: Prime Position problems appear in 0-1 questions in advanced exams. They test knowledge of prime numbers applied to alphabet positions.

How to Solve Prime Position Problems

1

Step 1: Recognize that letters correspond to prime number positions

2

Step 2: List prime numbers within 1-26: 2,3,5,7,11,13,17,19,23

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Step 3: Convert each prime position to its letter

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Step 4: Apply the pattern to find the next letter

5

Step 5: For primes beyond 26, wrap-around may be needed

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Step 6: Verify the pattern for all given terms

Pro Strategy: The series uses letters at prime number positions. Primes within 1-26: 2(B), 3(C), 5(E), 7(G), 11(K), 13(M), 17(Q), 19(S), 23(W). Beyond 26, the next prime is 29 (29-26=3→C with wrap).

Example Problem

Example: Find the next letter: B, C, E, G, K, ___ Solution: Step 1: Positions: B=2(prime), C=3(prime), E=5(prime), G=7(prime), K=11(prime) Step 2: Next prime after 11 is 13 Step 3: Position 13 = M Answer: M

Pro Tips & Tricks

  • Prime numbers up to 26: 2, 3, 5, 7, 11, 13, 17, 19, 23
  • Corresponding letters: B, C, E, G, K, M, Q, S, W
  • Next prime after 23 is 29 → 29-26=3 → C
  • Remember that 1 is NOT prime
  • 2 is the only even prime number

Shortcut Methods to Solve Faster

Prime positions: 2,3,5,7,11,13,17,19,23
Corresponding letters: B, C, E, G, K, M, Q, S, W
After W (23), next is C (29→3 with wrap)
Memorize the sequence: B, C, E, G, K, M, Q, S, W, C, ...

Common Mistakes to Avoid

Including 1 as a prime (1 is not prime)
Missing primes (e.g., forgetting 2 is prime)
Not knowing prime numbers up to 26
Forgetting wrap-around for primes beyond 26

Exam Importance

Prime Position is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
0-1 questions
BANKING PO
0-1 questions
RAILWAYS RRB
0-1 questions
INSURANCE
0-1 questions

Ready to Master Prime Position?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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