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Question

If HEAD is coded as 37 and BANK is coded as 57, then how will KITE be coded as?

This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is

91

Understanding Letter Coding Patterns

This question asks us to decode a pattern used to represent words with numbers. We are given two examples: HEAD is coded as 37, and BANK is coded as 57. We need to find the coding for KITE using the same pattern.

Let's analyze the given examples to identify the logic behind the coding.

Analyzing the Coding for HEAD

The word is HEAD. Let's consider the alphabetical position of each letter (A=1, B=2, C=3, ..., Z=26).

  • H is the 8th letter.
  • E is the 5th letter.
  • A is the 1st letter.
  • D is the 4th letter.

Let's try summing the alphabetical positions:

\(8 + 5 + 1 + 4 = 18\)

The coded value is 37. How can 18 be related to 37? We can observe that \(18 \times 2 = 36\), and \(36 + 1 = 37\). This suggests a pattern: (Sum of alphabetical positions) \(\times 2 + 1\).

Analyzing the Coding for BANK

Let's test this pattern with the second example, BANK. The alphabetical positions are:

  • B is the 2nd letter.
  • A is the 1st letter.
  • N is the 14th letter.
  • K is the 11th letter.

Summing the alphabetical positions:

\(2 + 1 + 14 + 11 = 28\)

Now, applying the hypothesized pattern: \((Sum) \times 2 + 1\)

\(28 \times 2 + 1 = 56 + 1 = 57\)

This matches the given code for BANK. So, the pattern is consistent for both examples.

Applying the Pattern to KITE

Now we apply the identified pattern to the word KITE.

First, find the alphabetical position of each letter:

  • K is the 11th letter.
  • I is the 9th letter.
  • T is the 20th letter.
  • E is the 5th letter.

Next, sum the alphabetical positions:

\(11 + 9 + 20 + 5 = 45\)

Finally, apply the pattern: \((Sum) \times 2 + 1\)

\(45 \times 2 + 1 = 90 + 1 = 91\)

Therefore, KITE will be coded as 91.

Summary of Coding Pattern
Word Alphabetical Positions Sum of Positions Pattern: Sum \(\times 2 + 1\) Coded Value
HEAD H(8), E(5), A(1), D(4) \(8+5+1+4 = 18\) \(18 \times 2 + 1\) 37
BANK B(2), A(1), N(14), K(11) \(2+1+14+11 = 28\) \(28 \times 2 + 1\) 57
KITE K(11), I(9), T(20), E(5) \(11+9+20+5 = 45\) \(45 \times 2 + 1\) 91

The coding for KITE is 91.

Revision Table: Letter Coding Analysis

Key Concepts in Letter Coding
Concept Description Example Use
Alphabetical Position Assigning a number to each letter based on its order (A=1, B=2, ...). Used in the HEAD/BANK/KITE problem.
Reverse Alphabetical Position Assigning a number in reverse order (Z=1, Y=2, ...). Sometimes used in coding problems.
Sum of Positions Adding the numerical values of the letters in a word. Often the base for the coding pattern.
Mathematical Operations Applying operations like multiplication, addition, subtraction, division to the sum or individual values. The pattern here was \(\times 2 + 1\).

Additional Information: Solving Coding Decoding Questions

Solving coding-decoding questions requires observation and pattern recognition. Here are some strategies:

  • Write down the alphabetical positions (1-26) and reverse positions (26-1) for quick reference.
  • Check for simple patterns first: sum of positions, reverse sum, difference, etc.
  • Look for common mathematical operations applied to the sum or individual positions.
  • Consider patterns based on vowels and consonants.
  • If letters are coded as other letters, check shifts (e.g., A becomes C, B becomes D - a +2 shift).
  • Always test the hypothesized pattern with all given examples before applying it to the word you need to code.

Practice with different types of coding questions helps improve pattern recognition skills.

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Similar Questions

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  3. In a certain language the word CLOCK is written as 4 – 13 – 17 – 4 – 12. How will PHONE be written in that language?

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  6. If each letter of the English alphabet is assigned an odd numerical value in increasing order, such as A = 1, B = 3 and so on then what will be the code of HONEY?

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Important Questions from Operations on Place Value

  1. In a certain code language, TOGETHER is coded as 119 and MASTER is coded as 87. How will REVERSE be coded in that language?

  2. In a certain code, if BRDKE is written as AQCJD, then SLEEP will be written in that code as:

  3. In a certain code language, ‘BULB’ is written as ‘190’, ‘CALM’ is written as ‘150’. What is the code for ‘DOES’ in that code language

  4. In a certain code language, RAMP is coded as 3611332. How will DELL be coded in that language?

  5. In a code language, 'SPACE' is written as '5-91' and 'ROTTEN' is written as '6-70'. How will 'MEAN' be written in that language?

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