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.
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 |
The sequence we need to code is %987. Let's identify the elements and their initial codes:
%, Code: J9, Code: F8, Code: W7, Code: BBased on the direct codes, the initial combination is JFWB.
Now, let's check the given conditions to see if they modify this initial code:
%987, the first element is % (a symbol), not a number. Therefore, Condition (I) does not apply.©."
% (a symbol), not an odd number. Therefore, Condition (II) does not apply.%987 is 8.8 is a perfect cube. Yes, $8 = 2^3$.8) is a perfect cube, this condition applies.9) should be coded as the code for the third element (8).8 is W.9 (which is initially F) must be replaced by W.Applying Condition (III) to the initial code JFWB:
% remains J.9 changes from F to W (as per Condition III).8 remains W.7 remains B.Therefore, the final coded sequence for %987 is JWWB.
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