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Question

In a certain code language, 'MAY’ is coded as '6' and 'MET' is coded as '7'. How will 'HIM' be coded in that language?

This question was previously asked in
SSC Stenographer 2022 Previous Year Paper (17-Nov-2022) (Shift 2)
The correct answer is

6

Understanding the Code Language Puzzle

This question asks us to decipher a specific code language based on two examples provided: 'MAY' is coded as '6' and 'MET' is coded as '7'. We then need to apply the same logic to find the code for the word 'HIM'. These types of questions test pattern recognition and logical reasoning skills.

Analyzing the Given Examples

Let's look at the two examples we have:

  • MAY is coded as 6
  • MET is coded as 7

Both words 'MAY' and 'MET' have the same number of letters, which is 3. However, their codes are different (6 and 7). This suggests that the code is not solely based on the number of letters. The specific letters within the word must influence the code.

Let's consider the letters in each word and their positions in the standard English alphabet (A=1, B=2, ..., Z=26):

  • MAY: M(13), A(1), Y(25)
  • MET: M(13), E(5), T(20)
  • HIM: H(8), I(9), M(13)

Calculating the sum of letter positions:

  • MAY: 13 + 1 + 25 = 39
  • MET: 13 + 5 + 20 = 38
  • HIM: 8 + 9 + 13 = 30

The sums (39, 38, 30) don't directly correspond to the codes (6, 7, ?). We need to look for a different pattern.

Identifying the Pattern: Letters and Vowels

Notice that both given words ('MAY' and 'MET') contain exactly one vowel. Let's consider the vowels in the standard order: A, E, I, O, U. We can number these vowels based on their appearance in this sequence:

  • A is the 1st vowel
  • E is the 2nd vowel
  • I is the 3rd vowel
  • O is the 4th vowel
  • U is the 5th vowel

Let's re-examine the words and their codes, focusing on the vowel:

  • MAY (code 6) contains the vowel A, which is the 1st vowel.
  • MET (code 7) contains the vowel E, which is the 2nd vowel.

Both words have 3 letters. The codes are 6 and 7. This means something is being added to the number of letters (3).

  • For MAY: 3 + ? = 6 → ? = 3
  • For MET: 3 + ? = 7 → ? = 4

So, having the vowel 'A' corresponds to adding 3, and having the vowel 'E' corresponds to adding 4. Let's see if there's a pattern related to the vowel's position in the A, E, I, O, U sequence (1st, 2nd).

  • A is the 1st vowel, and we add 3 (1 + 2 = 3).
  • E is the 2nd vowel, and we add 4 (2 + 2 = 4).

This suggests a pattern: The number added to the letter count is the vowel's position in the A,E,I,O,U sequence plus 2. Let's test this hypothesis.

Testing the Hypothesis

Hypothesized Rule: Code = (Number of letters in the word) + (Position of the vowel in the sequence A, E, I, O, U + 2).

  • For MAY:
    • Number of letters = 3
    • Vowel is A, which is the 1st vowel in the sequence.
    • Value to add = (1 + 2) = 3
    • Code = 3 + 3 = 6. This matches the given code for MAY.
  • For MET:
    • Number of letters = 3
    • Vowel is E, which is the 2nd vowel in the sequence.
    • Value to add = (2 + 2) = 4
    • Code = 3 + 4 = 7. This matches the given code for MET.

The hypothesis works for both given examples.

Applying the Logic to 'HIM'

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

  • For HIM:
    • Number of letters = 3
    • Identify the vowel: The vowel in 'HIM' is I.
    • Find the position of I in the A, E, I, O, U sequence. A is 1st, E is 2nd, I is 3rd. So, I is the 3rd vowel.
    • Calculate the value to add based on the vowel's position: Value to add = (Vowel position in sequence + 2) = (3 + 2) = 5.
    • Calculate the final code: Code = (Number of letters) + (Value to add) = 3 + 5 = 8.

According to this pattern, the code for 'HIM' should be 8.

Revisiting the Pattern based on the Correct Answer

Let's consider the possibility that the pattern is different, especially if our derived answer (8) doesn't match the provided correct option. The provided correct answer text is '6'. This implies that 'HIM' is coded as 6.

If 'HIM' is coded as 6, and it has 3 letters, then the value added for 'HIM' must be 3 (3 + 3 = 6).

Let's list the values added for each word and the vowel involved:

  • MAY (vowel A, 1st in sequence) adds 3.
  • MET (vowel E, 2nd in sequence) adds 4.
  • HIM (vowel I, 3rd in sequence) adds 3 (based on the correct answer).

Let's look at the vowel's position in the sequence (1st, 2nd, 3rd) and the value added (3, 4, 3):

  • 1st vowel (A) → add 3
  • 2nd vowel (E) → add 4
  • 3rd vowel (I) → add 3

This sequence of added values (3, 4, 3) suggests a pattern related to whether the vowel's position in the sequence is odd or even.

  • 1st vowel (odd position) → add 3
  • 2nd vowel (even position) → add 4
  • 3rd vowel (odd position) → add 3

This revised pattern is consistent with the given examples and the correct answer for 'HIM'.

Revised Rule: Code = (Number of letters in the word) + (3 if the vowel is the 1st, 3rd, 5th... vowel in A, E, I, O, U sequence; 4 if the vowel is the 2nd, 4th... vowel in A, E, I, O, U sequence). This rule assumes each word contains exactly one vowel.

Applying the Revised Logic to 'HIM'

Using the revised rule for 'HIM':

  • For HIM:
    • Number of letters = 3
    • The vowel is I.
    • I is the 3rd vowel in the A, E, I, O, U sequence.
    • The position (3rd) is an odd number.
    • According to the revised rule, if the vowel position is odd, add 3.
    • Value to add = 3.
    • Code = (Number of letters) + (Value to add) = 3 + 3 = 6.

This result, 6, matches the provided correct answer.

Final Answer Derivation

The established pattern is that the code for a word is the number of letters in the word plus a value determined by the position of its vowel in the A, E, I, O, U sequence: add 3 if the vowel is the 1st, 3rd, 5th, etc. vowel, and add 4 if it is the 2nd, 4th, etc. vowel.

For 'HIM', the number of letters is 3. The vowel is 'I', which is the 3rd vowel in the sequence A, E, I, O, U. Since 3 is an odd number, we add 3 to the number of letters.

Code for HIM = Number of letters + Value for vowel I
Code for HIM = 3 + 3 = 6.

Therefore, 'HIM' is coded as '6'.

Word Number of Letters Vowel Vowel Position in A,E,I,O,U Vowel Position (Odd/Even) Value Added Calculated Code Given Code
MAY 3 A 1st Odd 3 3 + 3 = 6 6
MET 3 E 2nd Even 4 3 + 4 = 7 7
HIM 3 I 3rd Odd 3 3 + 3 = 6 ? (Calculated as 6)

Conclusion

Based on the coding logic derived from the examples 'MAY' (6) and 'MET' (7), the word 'HIM' is coded as '6'.

Revision Table: Code Language Logic

Concept Description Application
Number of Letters The total count of alphabets in the word. Used as a base value (e.g., 3 for MAY, MET, HIM).
Vowel Identification Finding the vowel within the word. The specific vowel (A, E, I) determines the additional value.
Vowel Sequence Position The position of the vowel in the standard sequence (A=1st, E=2nd, I=3rd, O=4th, U=5th). Determines whether to add 3 (odd position) or 4 (even position).
Coding Rule Sum of number of letters and a value based on vowel position parity. Code = Number of letters + (3 if vowel position in A,E,I,O,U is odd, 4 if even).

Additional Information: Logic Reasoning in Coding Puzzles

Coding and decoding questions are common in logical reasoning tests. They require you to identify a hidden pattern or rule that converts a word or number into a code. These patterns can be based on various attributes:

  • Letter Position: Using the alphabetical rank of letters (A=1, B=2, etc.). Operations like sum, difference, product, or specific manipulation of these numbers can form the code.
  • Number of Letters: The code might be directly related to the length of the word, or the length plus/minus a constant or variable.
  • Vowels and Consonants: The count of vowels or consonants, their positions, or properties of the specific vowels/consonants can be part of the rule.
  • Reverse Alphabetical Order: Sometimes positions are counted from Z (Z=1, Y=2, etc.).
  • Skipping Letters: A pattern might involve skipping a certain number of letters in the alphabet.
  • Positional Changes: Letters might be swapped, reversed, or shifted by a certain number of places.

To solve such puzzles, it is helpful to list the given examples, note down properties of the words (like letter count, specific letters, vowel/consonant count, letter positions), and look for consistent mathematical or logical relationships between these properties and the given codes. Testing different simple rules first (like sum of positions, number of letters +/- constant) before trying more complex ones is a good strategy.

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