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Question

If BE QUICK is coded as ZC OSGAI, then the code of the last letter of the third word in the sentence I LOVE MY COUNTRY is

The correct answer is

W

Understanding the Letter Coding Puzzle

This question involves a letter coding pattern. We are given a sentence and a coded word, and we need to determine the coding rule applied to the example word and then use that rule to code a specific letter from the sentence.

Identifying the Target Letter

The sentence given is "I LOVE MY COUNTRY".

We are asked for the code of the last letter of the third word in this sentence.

  • The first word is "I".
  • The second word is "LOVE".
  • The third word is "MY".

The third word is "MY". The last letter of the word "MY" is "Y".

So, we need to find the coded form of the letter "Y" based on the provided coding rule.

Analyzing the Coding Pattern: BE QUICK to ZC OSGAI

Let's examine how the word "BE QUICK" is coded as "ZC OSGAI". We can look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).

Original Letter Position Coded Letter Position Difference
B 2 Z 26 $2 - 26 = -24$ or $2 - 2 = 0$ (wraps to 26)
E 5 C 3 $5 - 2 = 3$
Q 17 O 15 $17 - 2 = 15$
U 21 S 19 $21 - 2 = 19$
I 9 G 7 $9 - 2 = 7$
C 3 A 1 $3 - 2 = 1$
K 11 I 9 $11 - 2 = 9$

From the table, we can observe a consistent pattern:

  • Each letter in the original word "BE QUICK" is shifted 2 positions backward in the alphabet to get the coded letter.
  • For letters at the beginning of the alphabet (like B and C), the shift wraps around from A back to Z. B (position 2) shifted back by 2 goes to position 0, which is Z. C (position 3) shifted back by 2 goes to position 1, which is A.

The coding rule is: Shift each letter 2 positions backward in the alphabet, wrapping around from A to Z if necessary.

Coding the Target Letter 'Y'

Now we apply this rule to the letter 'Y', which is the last letter of the third word "MY".

  • The position of 'Y' in the alphabet is 25.
  • Applying the rule, we shift backward by 2 positions: $25 - 2 = 23$.
  • The letter at position 23 in the alphabet is 'W'.

Therefore, the coded form of the letter 'Y' is 'W'.

Comparing with Options

Let's look at the given options:

  1. A
  2. T
  3. U
  4. W

Our calculated coded letter for 'Y' is 'W', which matches option 4.

Revision Table: Key Concepts in Coding-Decoding

Concept Description Example (using pattern -2)
Letter Position Assigning a numerical value to each letter of the alphabet (A=1, B=2, ... Z=26). A=1, Y=25, W=23
Shifting Pattern Moving letters forward or backward a fixed number of positions. A > C (Shift +2), Y > W (Shift -2)
Wrapping Around When shifting backward from A, you go to Z, Y, etc. When shifting forward from Z, you go to A, B, etc. C > A (Shift -2, wraps from B to A), B > Z (Shift -2, wraps from A to Z)
Decoding Applying the reverse of the coding rule to find the original letter. If W is the code (pattern -2), the original letter is W+2 positions = Y.

Additional Information: Types of Letter Coding

Letter coding puzzles can involve various patterns. Understanding these patterns helps in solving different types of questions:

  • Alphabetical Shift: Letters are shifted a fixed number of positions forward or backward (as in this problem). The shift can be uniform for all letters or vary.
  • Reverse Alphabetical Order: The position of a letter from the beginning (A=1) is related to its position from the end (Z=1). For example, A (1st) codes to Z (1st from end), B (2nd) codes to Y (2nd from end).
  • Mixed Patterns: A combination of different rules might be applied, like shifting by a different number for odd/even positions, or reversing the word before applying a shift.
  • Letter Interchange: Swapping letters within the word based on specific positions or pairs.

To solve these puzzles, it's crucial to carefully observe the relationship between the given word and its code, check for common patterns like shifting, and test hypotheses against all letters in the example.

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Important Questions from Coding and Decoding By Letter Shifting

  1. In a certain code language, BEAT is written as YVZG. What will be the code of MILD?
  2. In a certain code language, THANKS is written as SKNTHA. How is STUPID written in that code language?
  3. In a certain code, GARNISH is written as RGAINHS. How will GENIOUS be written in that code?

  4. In a certain code language 'MATHEMATICS' is written as 'LBSIDNZUHDR'. How is 'CHEMISTRY' written in that code language?

  5. In a certain code, BEAN is written as ABNE and SALE is written as LSEA. How is NEWS written in that code?

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