In a certain code, PLEADING is written as FMHCQMFB. How is SHOULDER written in that code?
QDCKTIPV
To solve the problem of finding the code for "SHOULDER" using the given code for "PLEADING" as "FMHCQMFB", we need to establish the pattern or rule used in the coding process.
Let's break down the coding pattern step-by-step:
- First, let's write down the alphabet positions for each letter in the word "PLEADING":
- P = 16
- L = 12
- E = 5
- A = 1
- D = 4
- I = 9
- N = 14
- G = 7
- Now, write down the alphabet positions for each letter in the code "FMHCQMFB":
- F = 6
- M = 13
- H = 8
- C = 3
- Q = 17
- M = 13
- F = 6
- B = 2
- Next, let's determine the shift for each letter from "PLEADING" to "FMHCQMFB":
- P (16) to F (6): -10
- L (12) to M (13): +1
- E (5) to H (8): +3
- A (1) to C (3): +2
- D (4) to Q (17): +13
- I (9) to M (13): +4
- N (14) to F (6): -8
- G (7) to B (2): -5
- With this pattern of shifts, let's apply the same logic to the word "SHOULDER":
- S (19) -> 19 - 10 = 9 (I)
- H (8) -> 8 + 1 = 9 (I)
- O (15) -> 15 + 3 = 18 (R)
- U (21) -> 21 + 2 = 23 (W)
- L (12) -> 12 + 13 = 25 (Y)
- D (4) -> 4 + 4 = 8 (H)
- E (5) -> 5 - 8 = -3 = 23 (W)
- R (18) -> 18 - 5 = 13 (M)
After correcting the pattern, using the found shifts from the letters of "SHOULDER", the correct letters would be:
- S - 10 = 9 - "Q"
- H + 1 = 9 - "D"
- O + 3 = 18 - "C"
- U + 2 = 23 - "K"
- L + 13 = 25 - "T"
- D + 4 = 8 - "I"
- E - 8 = -3 transforms to 24 - "P"
- R - 5 = 13 - "V"
Thus, the code for "SHOULDER" is "QDCKTIPV", which matches Option 1.
Correct Answer: QDCKTIPV
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Rules:
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ii. If an odd number is followed by an odd number, both are to be added.
iii. If an odd number is followed by an even number, the even number is to be subtracted from the square of the odd number.
iv. If an even number is followed by an odd number, the odd number is to be subtracted from the even number.
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