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Letter Position Value Coding

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Introduction

Letter Position Value Coding में letters को उनके alphabetical rank (A = 1, B = 2, …, Z = 26) में बदला जाता है। यह pattern reasoning में बहुत आम है और letter→number mapping तथा basic manipulations (concatenation, sums, differences) को तेजी से समझने की क्षमता test करता है।

Pattern: Letter Position Value Coding

Pattern: Letter Position Value Coding

मुख्य विचार: हर letter को उसके alphabet position value (A = 1, B = 2, …, Z = 26) से दर्शाया जाता है। Code इन values को concatenate, sum या किसी arithmetic form में दिखा सकता है - हमेशा example(s) देखकर output format की पुष्टि करें।

याद रखने योग्य बातें:

  • Position basis: A = 1 से Z = 26 (one-based indexing)।
  • Representation styles: Concatenation (जैसे BAD → 214), summation (BAD → 2+1+4 = 7), या अन्य arithmetic (product, difference, average)।
  • Multi-digit handling: Concatenation में हर letter के digits बनाए रखें (जैसे J = 10 तो AJ = 110)।
  • Wrap/Bounds: Positions हमेशा 1-26 ही रहते हैं; यहां wrap-around नहीं होता (shift codes की तरह नहीं)। यदि modular arithmetic हो, example में दिया होगा।

Step-by-Step Example

Question

A = 1, B = 2, C = 3, … Z = 26. तो BAD = ?
Options:
A. 214    B. 7    C. 2,1,4    D. 204

Solution

  1. Step 1: Example का representation identify करें

    Letters को उनके alphabetical positions से represent किया जा रहा है (A = 1, B = 2, D = 4)। Options में concatenation (214) और sum (7) दोनों हैं → इसलिए representation options से तय करें।

  2. Step 2: Letters को position में बदलें

    B → 2, A → 1, D → 4.

  3. Step 3: Representation को match करें

    Option A में positions को सीधे concatenate किया गया है: 2-1-4 → 214. Option B sum दिखाता है: 2+1+4 = 7. चूंकि concatenate format सबसे सीधा और सामान्य coding output है, और options में स्पष्ट रूप से दिया हुआ है, इसलिए यही सही माना जाता है।

  4. Final Answer:

    214 → Option A

  5. Quick Check:

    214 को वापस split करें → 2 (B), 1 (A), 4 (D) → BAD मिलता है ✅ (अगर sum-style होता तो option B सही होता; representation हमेशा examples/options से तय करें।)

Quick Variations

1. Sum form: positions का sum (BAD → 7)।

2. Concatenation with separators: positions को comma के साथ लिखना (BAD → 2,1,4)।

3. Fixed-width concatenation: हर letter के लिए two-digit format (A→01, J→10, तो AJ → 0110)।

4. Derived arithmetic: average, product, difference आदि (जैसे (2+1+4)/3)।

Trick to Always Use

  • Step 1 → Options और examples देखकर पहले representation तय करें (concatenation vs sum)।
  • Step 2 → A-Z का quick mental table याद रखें (common: J=10, K=11, T=20, Z=26)।

Summary

  • Letters को A=1 से Z=26 positions में बदलें।
  • Options देखकर पता करें कि output concatenation है, sum है, या कोई और arithmetic form।
  • Concatenation में multi-digit letters को सही तरीके से जोड़ें।
  • Reverse conversion करके check करें कि answer सही है।

याद रखने योग्य उदाहरण:
BAD → 2,1,4 → concatenate करें तो 214; sum करें तो 7 (representation के अनुसार)।

Practice

(1/5)
1. Using A=1, B=2, … Z=26 (concatenate the position values without separators), what is JAR = ?
easy
A. 10118
B. 1118
C. 101118
D. 10-1-18

Solution

  1. Step 1: Convert each letter to its position

    J → 10, A → 1, R → 18.

  2. Step 2: Concatenate the position values (no separators)

    Write them side-by-side: 10 then 1 then 18 → 10118.

  3. Final Answer:

    10118 → Option A

  4. Quick Check:

    Split 10118 into 10 | 1 | 18 → J | A | R ✅
Hint: When concatenating, keep multi-digit positions intact (J=10 stays as ‘10’).
Common Mistakes: Dropping leading digits or inserting separators when not required.
2. Using A=1, B=2, … Z=26 (sum of positions), what is SUM = ?
easy
A. 52
B. 53
C. 54
D. 51

Solution

  1. Step 1: Convert letters to positions

    S → 19, U → 21, M → 13.

  2. Step 2: Add the positions

    19 + 21 + 13 = 53 → 53.

  3. Final Answer:

    53 → Option B

  4. Quick Check:

    Verify addition: 19 + 21 = 40; 40 + 13 = 53 ✅
Hint: Add the largest two first to reduce arithmetic errors.
Common Mistakes: Forgetting to convert letters correctly (e.g., S=18 instead of 19).
3. If positions are written in fixed two-digit format (A = 01, B = 02, …, Z = 26) and concatenated, what is AGE = ?
easy
A. 010705
B. 10705
C. 01070500
D. 0107050

Solution

  1. Step 1: Convert letters using two-digit fixed width

    A → 01, G → 07, E → 05.

  2. Step 2: Concatenate the two-digit blocks

    01 | 07 | 05 → 010705.

  3. Final Answer:

    010705 → Option A

  4. Quick Check:

    Split 010705 into 01,07,05 → A,G,E ✅
Hint: Use fixed two-digit blocks so J (10) and A (01) remain unambiguous.
Common Mistakes: Dropping the leading zero for single-digit positions.
4. Using A=1, B=2, … Z=26 and representing positions with commas, what is CAT = ?
medium
A. 3-1-20
B. 3;1;20
C. 3,1,20
D. 03,01,20

Solution

  1. Step 1: Convert each letter to its position

    C → 3, A → 1, T → 20.

  2. Step 2: Represent the positions using commas as separators

    3,1,20 → 3,1,20.

  3. Final Answer:

    3,1,20 → Option C

  4. Quick Check:

    Read positions back: 3→C, 1→A, 20→T ✅
Hint: Match the separator style required (comma, hyphen, fixed-width) from the question.
Common Mistakes: Using fixed-width format when commas are requested, or vice versa.
5. Using A=1, B=2, … Z=26, a code is defined as 'product of positions of first and last letters'. What is KEY coded as?
medium
A. 165
B. 2750
C. 250
D. 275

Solution

  1. Step 1: Identify first and last letter positions

    For KEY: first letter K → 11; last letter Y → 25.

  2. Step 2: Compute product of the two positions

    11 × 25 = 275 → 275.

  3. Final Answer:

    275 → Option D

  4. Quick Check:

    Verify multiplication: 11 × 25 = (11 × 20) + (11 × 5) = 220 + 55 = 275 ✅
Hint: Multiply first and last letter values; use 11×25 = 275 as a quick mental pattern.
Common Mistakes: Using sum instead of product or including middle letters in the product.