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Question

In a certain code language, ' IN' is coded as '23', and 'ARE' is coded as '24'. How will ' HUNGRY'  be coded in that language?

The correct answer is 93

Understanding the Coding Language Rule

The problem presents a coding language where words are converted into numerical codes. We are given two examples to understand the rule: 'IN' is coded as '23', and 'ARE' is coded as '24'. We need to apply the same rule to find the code for 'HUNGRY'.

Analysing the Given Examples

Let's examine the alphabetical positions of the letters in the given words. We consider A=1, B=2, C=3, and so on, up to Z=26.

Example 1: IN is coded as 23

  • The word is IN.
  • The letter I is the 9th letter of the alphabet.
  • The letter N is the 14th letter of the alphabet.

Let's try adding the alphabetical positions:

\( \text{Position of I} + \text{Position of N} = 9 + 14 = 23 \)

This sum, 23, matches the given code for 'IN'.

Example 2: ARE is coded as 24

  • The word is ARE.
  • The letter A is the 1st letter of the alphabet.
  • The letter R is the 18th letter of the alphabet.
  • The letter E is the 5th letter of the alphabet.

Let's try adding the alphabetical positions:

\( \text{Position of A} + \text{Position of R} + \text{Position of E} = 1 + 18 + 5 = 24 \)

This sum, 24, matches the given code for 'ARE'.

Identifying the Coding Rule

Based on the analysis of 'IN' and 'ARE', the coding rule appears to be: The code of a word is the sum of the alphabetical positions of its letters.

Coding the Word 'HUNGRY'

Now, let's apply this rule to the word HUNGRY.

First, find the alphabetical position of each letter in HUNGRY:

  • H is the 8th letter.
  • U is the 21st letter.
  • N is the 14th letter.
  • G is the 7th letter.
  • R is the 18th letter.
  • Y is the 25th letter.

Next, calculate the sum of these positions:

\( \text{Code for HUNGRY} = \text{Pos(H)} + \text{Pos(U)} + \text{Pos(N)} + \text{Pos(G)} + \text{Pos(R)} + \text{Pos(Y)} \)

\( \text{Code for HUNGRY} = 8 + 21 + 14 + 7 + 18 + 25 \)

Let's add these numbers:

\( 8 + 21 = 29 \)

\( 29 + 14 = 43 \)

\( 43 + 7 = 50 \)

\( 50 + 18 = 68 \)

\( 68 + 25 = 93 \)

The sum of the alphabetical positions for 'HUNGRY' is 93.

Conclusion

Following the established coding rule where the code is the sum of the alphabetical positions of the letters, the word 'HUNGRY' is coded as 93.

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Important Questions from Coding Decoding

  1. Which two signs should be interchanged to make the given equation correct?

    51 + 18 - 5 × 12 ÷ 3 = 137

  2. In a code language, INDICATOR is written as JOEJBCVQT. How will EMOTIONAL be written in that language?

  3. There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question.

    Rule:

    1. If an even number is followed by an even number, then the first number will be subtracted from the second.

    2. If an odd number is followed by an odd number, then both will be added.

    3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number.

    4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number.

    Row I: 9,11, 34

    Row II: 16, 9, 8

    What is the difference between the resultant numbers in the first row and the second row

  4. There are two rows, each containing 3 numbers. Some rules are given below to be used for obtaining the resultant number for each row separately. Apply the rules for each row from left to right and answer the question.

    Rules:

    i. If an even number is followed by an even number, the first is to be subtracted from the second.

    ii. If an odd number is followed by an odd number, both are to be added.

    iii. If an odd number is followed by an even number, the even number is to be subtracted from the square of the odd number.

    iv. If an even number is followed by an odd number, the odd number is to be subtracted from the even number.

    Row I: 28, 19, 12

    Row II: 13, 7, 32

    What is the average of the resultant numbers of the first row and the second row?

  5. In a certain code language, 'I belong to you' is written as '# @ © *', 'you belong to them' is written as '©@ % *', 'we belong them' is written as '+ %©'. What is the code for 'we to you' in that code language?

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