In a certain code language, ‘INCH’ is coded as ‘CXID’. What is the code for ‘HUGE’ in that code language?
ZBPC
This question involves understanding a specific coding language pattern where one word is transformed into another. We are given that 'INCH' is coded as 'CXID'. We need to apply the same logic to find the code for 'HUGE'.
Let's analyze the relationship between the letters of 'INCH' and 'CXID'. We can look at the alphabetical positions of the letters:
And for the coded word 'CXID':
Comparing the positions, there isn't a simple direct shift from the first letter of INCH to the first letter of CXID, second to second, and so on (e.g., I(9) to C(3) is -6, N(14) to X(24) is +10, C(3) to I(9) is +6, H(8) to D(4) is -4. This pattern is inconsistent).
Let's try looking for a pattern involving reversal or a different order. Consider shifting each letter of 'INCH' backwards by 5 positions in the alphabet. Remember that the alphabet wraps around (A comes after Z).
The letters obtained after shifting are D, I, X, C.
Now, let's compare this sequence (D, I, X, C) with the coded word 'CXID'. We can see that 'CXID' is the reverse of D, I, X, C.
So, the logic of the code is: Shift each letter of the original word 5 positions backwards in the alphabet, and then reverse the order of the resulting letters.
Now, let's apply this pattern to the word 'HUGE'. First, find the alphabetical position of each letter in 'HUGE':
Next, shift each letter 5 positions backwards:
The resulting sequence of letters after the shift is C, P, B, Z.
Finally, reverse the order of these letters:
Z, B, P, C
Therefore, the code for 'HUGE' is 'ZBPC'.
Let's check the given options:
Our derived code 'ZBPC' matches Option 2.
| Original Word | Letter | Alphabetical Position | Shifted Position (\(P-5\)) | Shifted Letter |
|---|---|---|---|---|
| INCH | I | 9 | \(9-5=4\) | D |
| N | 14 | \(14-5=9\) | I | |
| C | 3 | \(3-5=-2 \equiv 24\) | X | |
| H | 8 | \(8-5=3\) | C | |
Shifted letters: D, I, X, C Reversed: C, X, I, D | ||||
| HUGE | H | 8 | \(8-5=3\) | C |
| U | 21 | \(21-5=16\) | P | |
| G | 7 | \(7-5=2\) | B | |
| E | 5 | \(5-5=0 \equiv 26\) | Z | |
Shifted letters: C, P, B, Z Reversed: Z, B, P, C |
Coding-decoding questions test your logical reasoning and pattern recognition skills. Some common types include:
Solving these questions requires careful observation, trial and error to identify the pattern, and consistent application of that pattern.
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