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Question

In a certain code language, 'GIVES' is coded as '124', 'STEPS' is coded as '158'. What is the code for 'VIEWS' in that code language?

The correct answer is
156

Decoding the Coding Language Puzzle

This problem involves figuring out a hidden pattern or rule used to convert words into numbers. We are given two examples: 'GIVES' is coded as '124' and 'STEPS' is coded as '158'. Our goal is to find the code for the word 'VIEWS' using the same logic.

Analyzing the Word-to-Number Coding Pattern

Let's examine the given examples to find the relationship between the letters of the words and their numerical codes. A common method in these types of problems is to use the alphabetical positions of the letters.

The alphabetical positions are: A=1, B=2, C=3, ..., Z=26.

Example 1: GIVES = 124

Let's find the alphabetical positions for each letter in 'GIVES':

  • G is the 7th letter.
  • I is the 9th letter.
  • V is the 22nd letter.
  • E is the 5th letter.
  • S is the 19th letter.

Now, let's sum these positions:

Sum = $7 + 9 + 22 + 5 + 19 = 62$.

Comparing the sum (62) to the code (124), we notice that $62 \times 2 = 124$. This suggests the pattern might be: (Sum of alphabetical positions) $\times 2$.

Example 2: STEPS = 158

Let's verify this pattern using the second example, 'STEPS'.

Alphabetical positions:

  • S = 19
  • T = 20
  • E = 5
  • P = 16
  • S = 19

Sum of positions = $19 + 20 + 5 + 16 + 19 = 79$.

Applying the potential pattern: $79 \times 2 = 158$.

Since $79 \times 2$ equals the given code (158), the pattern is confirmed.

Calculating the Code for VIEWS

Now we apply the confirmed pattern to find the code for 'VIEWS'.

First, find the alphabetical positions for each letter in 'VIEWS':

  • V is the 22nd letter.
  • I is the 9th letter.
  • E is the 5th letter.
  • W is the 23rd letter.
  • S is the 19th letter.

Next, calculate the sum of these positions:

Sum = $22 + 9 + 5 + 23 + 19 = 78$.

Finally, apply the rule (multiply the sum by 2):

Code for VIEWS = $78 \times 2 = 156$.

Conclusion

Based on the derived pattern (sum of alphabetical positions multiplied by 2), the code for 'VIEWS' is 156.

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Important Questions from Coding Decoding

  1. In a certain code language, 'TRIED' is coded as '54123' and 'TREAD' is coded as '12365'. What is the code for 'I' in the given code language?

  2. In a certain language, DANGER is coded as REGNAD, DETAIL is coded as LIATED, how will DOCTOR be coded in the same language?
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