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Question

In a certain code language, ‘LETTER’ is written as ‘ZLZYIO’. What is the code for ‘ACTION’ in that code language?

The correct answer is

VVOYGD

Understanding the Coding Pattern

The question asks us to determine the code for the word 'ACTION' based on a given example: 'LETTER' is coded as 'ZLZYIO'. This type of question falls under logical reasoning and specifically tests coding and decoding skills. We need to identify the rule that transforms 'LETTER' into 'ZLZYIO' and then apply that same rule to 'ACTION'.

Analyzing the Example: LETTER to ZLZYIO

Let's analyze the relationship between the letters of the source word 'LETTER' and its coded form 'ZLZYIO'.

Source Word: L E T T E R

Coded Word: Z L Z Y I O

Initial analysis reveals that simple substitution or a consistent shift cipher doesn't apply, as the letter 'T' appears twice in 'LETTER' but maps to different letters ('Z' and 'Y') in the code. Similarly, 'E' maps to two different letters ('L' and 'I'). This indicates that the position of the letter within the word plays a crucial role in determining its code.

Let's try reversing the source word 'LETTER'.

Reversed Word: R E T T E L

Now, let's compare the reversed word 'RETTEL' with the coded word 'ZLZYIO' by looking at the shift in alphabet positions.

Reversed Letter Alphabet Position Coded Letter Alphabet Position Shift Applied
R $18$ Z $26$ $+8$
E $5$ L $12$ $+7$
T $20$ Z $26$ $+6$
T $20$ Y $25$ $+5$
E $5$ I $9$ $+4$
L $12$ O $15$ $+3$

From the table, we can see a pattern: each letter in the reversed word is shifted forward in the alphabet. The amount of shift decreases sequentially for each subsequent letter. The shifts are $+8, +7, +6, +5, +4, +3$.

Applying the Pattern to ACTION

Having identified the pattern (reverse the word and apply decreasing shifts: $+8, +7, +6, +5, +4, +3$), we can now apply it to the word 'ACTION'.

  1. Reverse the word 'ACTION':

    The reverse of 'ACTION' is 'NOITCA'.

  2. Apply the decreasing shifts to the reversed word:

    We will apply the shifts $+8, +7, +6, +5, +4, +3$ to the letters of 'NOITCA' based on their positions.

    Reversed Letter Alphabet Position Shift Applied Resulting Position Coded Letter
    N $14$ $+8$ $14 + 8 = 22$ V
    O $15$ $+7$ $15 + 7 = 22$ V
    I $9$ $+6$ $9 + 6 = 15$ O
    T $20$ $+5$ $20 + 5 = 25$ Y
    C $3$ $+4$ $3 + 4 = 7$ G
    A $1$ $+3$ $1 + 3 = 4$ D

By combining the coded letters obtained in the correct order, we get the final code for 'ACTION'.

Conclusion

The resulting code for 'ACTION' following the identified pattern is 'VVOYGD'.

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Important Questions from Logical Puzzle

  1. Seven persons P, Q, R, S, T, U and V like different watches namely W1, W2, W3, W4, W5, W6 and W7 (not necessarily in the same order). P and R do not like odd numbered watch. T likes W5. U does not like W2 or W3 or W6 or W7. P likes prime numbered watch. Q likes W4. S likes W2 or W7. Which of the following statement(s) is/are correct ?

    I. S likes W7.

    II. R likes W2.

    III. U likes W1.

    IV. V likes W3.

  2. If ‘+’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘–’ and ‘–’ means ‘+’, then

    16 + 18 × 3 ÷ 6 = ?

  3. In a certain code language, ‘Today is last match’ is written as ‘Sa Te Mo Pt’, ‘Last king like your team’ is written as ‘De Ra Mo Lo Zs’, ‘Our team won today match’ is written as ‘Te Ra Pt Ae We’. What is the code for ‘Our won is Last’ in that code language?

  4. If ‘A’ denotes ‘+’, ‘B’ denotes ‘×’, ‘C’ denotes ‘–’ and ‘D’ denotes ‘÷’, then what will come in place of ‘?’ in the following equation?

    21 A 34 C 6 B (72 D 9) A 13 B 1 + (56 D 4) = ?

  5. By interchanging the given two signs, which of the following equations will NOT be correct?

    + and × 

    l. 180 - 32 + 3 × 148 ÷ 37 = 88

    II. 204 ÷ 17 × 23 + 5 - 97 = 50

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