If HEAD is coded as 37 and BANK is coded as 57, then how will KITE be coded as?
91
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.
The word is HEAD. Let's consider the alphabetical position of each letter (A=1, B=2, C=3, ..., Z=26).
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) \(\times 2 + 1\).
Let's test this pattern with the second example, BANK. The alphabetical positions are:
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.
Now we apply the identified pattern to the word KITE.
First, find the alphabetical position of each 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.
| 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.
| 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 \(\times 2 + 1\). |
Solving coding-decoding questions requires observation and pattern recognition. Here are some strategies:
Practice with different types of coding questions helps improve pattern recognition skills.
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