If the word "IMPLORE" is coded as "GKNJMPC" by shifting each letter two positions backward in the alphabet, then how will the word "HUB" be coded in that language?

Difficulty: Easy

Correct Answer: FSZ

Explanation:


Introduction / Context:
This coding question uses a uniform backward shift in the alphabet. The example shows the word IMPLORE encoded as GKNJMPC. By comparing each pair of corresponding letters, we can see that every letter in the original word has been moved two positions backward. Once we know this rule, we apply it to the letters in HUB to find its coded form.


Given Data / Assumptions:

  • "IMPLORE" is written as "GKNJMPC".
  • We must find how "HUB" is written in that code.
  • The relative order of letters stays the same; only their positions in the alphabet change.
  • Letters wrap around the alphabet when shifting backward past A.


Concept / Approach:
To determine the rule, compare corresponding letters from IMPLORE and GKNJMPC. If each letter in the coded word is two letters before the original in the alphabet, then we have a clear pattern: shift backward by two positions. After confirming this pattern, we can apply it letter by letter to the new word HUB to obtain its coded form.


Step-by-Step Solution:
Step 1: Compare I with G. I is the ninth letter and G is the seventh, so this is a shift of minus two positions. Step 2: Compare M with K, P with N, L with J, O with M, R with P and E with C. Each time the coded letter is exactly two positions before the original letter. Step 3: Conclude that the rule is: coded letter = original letter shifted backward by two positions in the alphabet. Step 4: Apply this rule to H, U and B. Step 5: H is the eighth letter. Two positions backward gives F, which is the sixth letter. Step 6: U is the twenty first letter. Two positions backward gives S, the nineteenth letter. Step 7: B is the second letter. Two positions backward wraps around: before B is A (first) and before that is Z (twenty sixth). So B becomes Z. Step 8: Putting the results together, HUB is coded as F S Z, written as FSZ.


Verification / Alternative check:
To verify, we can shift FSZ forward by two positions to see if we return to HUB. F forward two becomes H, S forward two becomes U and Z forward two wraps to B. This confirms that FSZ is the correct coded form under the same two step backward rule used for IMPLORE.


Why Other Options Are Wrong:
The other options use letters that do not match a uniform backward shift of two from H, U and B. For instance, AWN would require H to become A and U to become W, which does not follow a consistent two position shift. WAO and TEY similarly do not correspond to the correct backward shifting of each letter of HUB, so they cannot be correct.


Common Pitfalls:
Some test takers incorrectly attempt a forward shift or miscalculate the wrap around for B when shifting backwards. Others assume different shifts for different positions, which is not supported by the example. Carefully checking all letter pairs in the example word before applying the rule helps to avoid these issues.


Final Answer:
Using the same backward shift of two positions, the word "HUB" is coded as FSZ.

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