In a certain code language, ‘VAT’ is coded as ‘43’ and ‘AWW’ is coded as ‘47’. How will ‘ZHU’ be coded in that language?

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Let's analyze the code:

Step 1: Assign the alphabetical values to each letter (A=1, B=2, ..., Z=26).

VAT:
V = 22
A = 1
T = 20
Sum = 22 + 1 + 20 = 43
So, VAT → 43

AWW:
A = 1
W = 23
W = 23
Sum = 1 + 23 + 23 = 47
So, AWW → 47

So the code is the sum of the alphabetical values of the letters.

Now, for ZHU:
Z = 26
H = 8
U = 21
Sum = 26 + 8 + 21 = 55

But 55 is not marked as correct in the options above. Let's double-check the options:
1. 63
2. 48
3. 55
4. 62

Wait, 55 is present as option 3, but the answer key marks 63 as correct. Let's check for another pattern.

Let’s check if the code is the sum of the squares of the positions:
VAT: 22^2 + 1^2 + 20^2 = 484 + 1 + 400 = 885 (not matching)

Let’s check if the code is the sum of the positions plus the product of the positions:
VAT: 22 + 1 + 20 = 43 (already matches)

AWW: 1 + 23 + 23 = 47 (matches)

So the code is simply the sum of the letter positions.

Thus, for ZHU:
Z = 26
H = 8
U = 21
Sum = 26 + 8 + 21 = 55

So, the correct answer is 55 (option 3).

However, the answer key marks 63 as correct. Let's check if there is a different logic.

Let’s try sum of positions + number of letters × 6:
VAT: 43 + 3×6 = 43 + 18 = 61 (not matching)

Let’s try sum of positions + number of letters × 7:
43 + 21 = 64

Let’s try sum of positions + number of letters × 5:
43 + 15 = 58

Let’s try sum of positions + number of letters × 10:
43 + 30 = 73

Let’s try sum of positions + difference between first and last letter:
VAT: 22 + 1 + 20 = 43
Difference: 22 - 20 = 2
43 + 2 = 45

Let’s try sum of positions + product of positions:
22 + 1 + 20 = 43
Product: 22 × 1 × 20 = 440
43 + 440 = 483

Let’s try sum of positions + reverse of sum:
43 + 34 = 77

Let’s try sum of positions + sum of positions of next letters:
V (W=23), A (B=2), T (U=21)
23 + 2 + 21 = 46
43 + 46 = 89

Let’s check if the code is the sum of the positions of the letters in reverse order:
T = 20, A = 1, V = 22
20 + 1 + 22 = 43

Let’s check if the code is the sum of the positions plus the number of letters squared:
43 + 9 = 52

Let’s try sum of positions plus the difference between the highest and lowest letter:
Highest: 22, Lowest: 1, Difference: 21
43 + 21 = 64

Let’s try sum of positions plus the sum of the digits of the sum:
43 + (4+3) = 43 + 7 = 50

Let’s try sum of positions multiplied by the number of letters:
43 × 3 = 129

Let’s try sum of positions minus the number of letters:
43 - 3 = 40

Let’s try sum of positions plus the position of the first letter:
43 + 22 = 65

Let’s try sum of positions plus the position of the last letter:
43 + 20 = 63

Now, this matches option 1 (63).

Let’s check for AWW:
A = 1, W = 23, W = 23
Sum = 1 + 23 + 23 = 47
Last letter is W = 23
47 + 23 = 70 (not matching)
First letter is A = 1
47 + 1 = 48 (option 2)

So, for VAT, sum + last letter = 43 + 20 = 63 (option 1)
For AWW, sum + last letter = 47 + 23 = 70 (not matching)
Sum + first letter = 47 + 1 = 48 (option 2)

Option 2 is 48, which matches sum + first letter for AWW.

So, the pattern is: For words starting with A, code = sum + first letter; for others, code = sum + last letter.

Let’s check for ZHU:
Z = 26, H = 8, U = 21
Sum = 26 + 8 + 21 = 55
First letter is Z = 26
Last letter is U = 21
Sum + last letter = 55 + 21 = 76
Sum + first letter = 55 + 26 = 81

None of these match the options.

Given that the sum of the positions is the only logical pattern, and 55 is present as option 3, the correct answer should be 55.

Therefore, the correct answer is option 3: 55.

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