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Question

In this question, a group of number/symbol is coded using letter codes as per the codes given below and the conditions which follow. The correct combination of codes following the conditions is your answer. 
Note: If none of the conditions apply, then codes for the respective number/symbol are to be followed directly as given in the table.

Number/ symbol86*%9&3+@5$74
CodeWCEJFADQGPRBU

Conditions: 
(I) If the first element is a number and the last a symbol, the codes for these two (the first and the last elements) are to be interchanged. 
(II) If the first element is an odd number and the last an even number, the first and last elements are to be coded as ©. 
(III) If the third element is a perfect cube, the second element is to be coded as the code for the third element. 
What will %987 be coded as?

The correct answer is
JWWB

This question involves a coding and decoding task where numbers and symbols are represented by letters based on a given table and specific conditions. We need to find the correct code for the sequence %987.

Coding Table Analysis

First, let's list the given codes for the numbers and symbols involved in the sequence %987:

Number/Symbol Code
% J
9 F
8 W
7 B

Target Sequence Coding

The sequence we need to code is %987. Let's identify the elements and their initial codes:

  • First element: %, Code: J
  • Second element: 9, Code: F
  • Third element: 8, Code: W
  • Fourth element: 7, Code: B

Based on the direct codes, the initial combination is JFWB.

Conditions Application

Now, let's check the given conditions to see if they modify this initial code:

  • Condition (I): "If the first element is a number and the last a symbol, the codes for these two are to be interchanged."
    • In our sequence %987, the first element is % (a symbol), not a number. Therefore, Condition (I) does not apply.
  • Condition (II): "If the first element is an odd number and the last an even number, the first and last elements are to be coded as ©."
    • The first element is % (a symbol), not an odd number. Therefore, Condition (II) does not apply.
  • Condition (III): "If the third element is a perfect cube, the second element is to be coded as the code for the third element."
    • The third element in %987 is 8.
    • We need to check if 8 is a perfect cube. Yes, $8 = 2^3$.
    • Since the third element (8) is a perfect cube, this condition applies.
    • The rule states that the second element (9) should be coded as the code for the third element (8).
    • The code for the third element 8 is W.
    • So, the code for the second element 9 (which is initially F) must be replaced by W.

Final Coded Sequence

Applying Condition (III) to the initial code JFWB:

  • The code for the first element % remains J.
  • The code for the second element 9 changes from F to W (as per Condition III).
  • The code for the third element 8 remains W.
  • The code for the fourth element 7 remains B.

Therefore, the final coded sequence for %987 is JWWB.

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Important Questions from Coding decoding

  1. In a certain code language, ‘watch is disturb’ is written as ‘xr pa qn’ and ‘don’t watch him’ is written as ‘tu bg pa’. How is ‘watch’ written in the given language?

  2. In a certain code language, ‘call on him’ is coded as ‘ol ni vc’ and ‘awaiting your call’ is coded as ‘ni dx sb’. How is ‘call’ coded in that language?

  3. In a certain code language, 'talk to me' is coded as 'aq yt bl' and 'do not talk' is coded as 'yt me wc'. What is the code for 'talk' in that language?

  4. In a certain code language, 'can we play' is coded as 'ae tc nx' and 'play in school' is coded as 'tc rm ef'. How is 'play' coded in that language?

  5. In a certain code language, 'BOOK' is written as 'ZNNI' and 'SHOP' is written as 'QFNN'. How will 'NOTES' be written in that language?

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