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. Conditions:
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/ symbol 8 6 * % 9 & 3 + @ 5 $ 7 4 Code W C E J F A D Q G P R B U
(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?
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.
- In our sequence
- 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.
- The first element is
- 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
%987is8. - We need to check if
8is 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
8isW. - So, the code for the second element
9(which is initiallyF) must be replaced byW.
- The third element in
Final Coded Sequence
Applying Condition (III) to the initial code JFWB:
- The code for the first element
%remainsJ. - The code for the second element
9changes fromFtoW(as per Condition III). - The code for the third element
8remainsW. - The code for the fourth element
7remainsB.
Therefore, the final coded sequence for %987 is JWWB.
Important Questions from Coding decoding
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In a certain code, '256' means 'red colour chalk', '589' means 'green colour flower' and '254' means 'white colour chalk'. The digit in the code that indicates `white' is
