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Mixed Letter/Number Code

Introduction

Mixed Letter/Number Codes combine letters and numbers in the same code - sometimes letters remain unchanged while certain letters are represented by numbers based on their alphabetical positions or a mathematical rule. These questions test your ability to recognize dual-format patterns quickly.

Pattern: Mixed Letter/Number Code

Pattern

The key idea is: letters and numbers coexist in one code. The numeric part usually represents the alphabetical position or a computed value (sum, product, or midpoint of letter positions).

Essentials to remember:

  • Which part changes? - Numbers may replace vowels, middle letters, or be appended at the end.
  • What do numbers represent? - Often position values (A=1, B=2, …) or sums/differences of positions.
  • Check structure: - Are numbers between letters (P16N), appended (PEN16), or replacing a letter?
  • Is it fixed or computed? - Some patterns use fixed mappings; others depend on arithmetic.

Step-by-Step Example

Question

In a certain code, each word is written as: First letter (unchanged) + position of first letter (number) + last letter (unchanged).
If PEN = P16N, then what is INK = ?

Solution

  1. Step 1: Identify the rule

    From the example PEN → P16N: First letter P remains same; last letter N remains same; numeric part = position of first letter P = 16. So, the rule is: First letter + its position + last letter.

  2. Step 2: Apply the rule to INK

    First letter I = 9 (alphabet position), last letter K unchanged. Therefore, code = I9K.

  3. Final Answer:

    I9K

  4. Quick Check:

    For PEN → P16N; P(16) + N matches the same rule ✅

Quick Variations

1. Replace vowels with their position numbers (e.g., CAT → C1T).

2. Use the sum of first and last letter positions (e.g., PEN → P30N since P(16)+N(14)=30).

3. Use average or midpoint of letter positions (e.g., HOT → H15T since midpoint between 8 and 20 ≈ 15).

4. Use multiple numbers (e.g., CAT → 3A20 showing positions of both consonants).

5. Mix with reversal (e.g., PEN → N16P, both letter-number mix + reversal logic).

Trick to Always Use

  • Step 1: Look for what changes between given examples (is the number replacing or appending?).
  • Step 2: Test with basic A=1 to Z=26 mapping first - it works in most cases.
  • Step 3: If numbers exceed 26, check for addition, multiplication, or combined position rules.

Summary

Summary

  • Identify which letters are converted to numbers.
  • Check if numbers indicate position, sum, or midpoint of letter positions.
  • Observe placement - before, between, or after letters.
  • Confirm consistency across all examples before applying.

Example to remember:
PEN → P16N → I9K for INK (same rule: first letter + position of first letter + last letter).

Practice

(1/5)
1. If PEN = P16N, then what is TOP = ?
easy
A. T20P
B. T19P
C. T16P
D. T18P

Solution

  1. Step 1: Observe the example

    In PEN → P16N the numeric token 16 corresponds to P's alphabetical position (P = 16).

  2. Step 2: Apply the same mapping

    For TOP, first letter T = 20 → code = T20P.

  3. Final Answer:

    T20P → Option A

  4. Quick Check:

    PEN uses first letter position (P=16); TOP uses T=20 ✅
Hint: Numeric piece = position of first letter.
Common Mistakes: Using last-letter position instead of first.
2. If DOG = D4G, then what is CAT = ?
easy
A. C4T
B. C20T
C. C3T
D. C2T

Solution

  1. Step 1: Observe the example

    In DOG → D4G the numeric token is 4, which equals D's alphabetical position (D = 4).

  2. Step 2: Apply to CAT

    C = 3 → code = C3T.

  3. Final Answer:

    C3T → Option C

  4. Quick Check:

    D4G → D(4)G; CAT → C(3)T ✅
Hint: First letter → its alphabet number.
Common Mistakes: Replacing middle/last letter instead of first.
3. If BAT = B22T, then what is FAN = ?
medium
A. F17N
B. F18N
C. F20N
D. F19N

Solution

  1. Step 1: Deduce rule from example

    BAT → B22T. 22 = B(2) + T(20) = sum of the first and last letters' positions.

  2. Step 2: Apply to FAN

    F(6) + N(14) = 20 → code = F20N.

  3. Final Answer:

    F20N → Option C

  4. Quick Check:

    Check BAT: 2 + 20 = 22; FAN: 6 + 14 = 20 ✅
Hint: Sum positions of first and last letters.
Common Mistakes: Summing all letters instead of first+last.
4. If SKY = S25Y, then what is HOT = ?
medium
A. H14T
B. H16T
C. H13T
D. H20T

Solution

  1. Step 1: Infer rule

    SKY → S25Y shows 25, which equals Y's position (Y = 25). So the numeric token equals the last letter's alphabet position.

  2. Step 2: Apply to HOT

    Last letter T = 20 → code = H20T.

  3. Final Answer:

    H20T → Option D

  4. Quick Check:

    SKY → S( )25Y; HOT → H( )20T where numeric = last letter position ✅
Hint: Numeric part = position of last letter when example shows last-letter match.
Common Mistakes: Assuming middle-letter mapping without checking example.
5. If MIX = M13X, then what is SUN = ?
medium
A. S19N
B. S20N
C. S21N
D. S18N

Solution

  1. Step 1: Derive rule

    M13X shows 13, which equals the first letter's position M = 13. Hence numeric token = first-letter position.

  2. Step 2: Apply to SUN

    First letter S = 19 → code = S19N.

  3. Final Answer:

    S19N → Option A

  4. Quick Check:

    MIX → M13X (M=13); SUN → S19N (S=19) ✅
Hint: If numeric equals first-letter position in example, use that consistently.
Common Mistakes: Confusing first-letter and middle-letter rules when examples vary.

Mock Test

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