In a certain code language, ‘FEED’ is written as ‘24’, and ‘ACCOUNT’ is written as ‘42’.
How will ‘PIZZA’ be written in that language?
Correct Answer :
30
Solution :
The correct answer is 30.
Let's analyze the logic behind the coding scheme step-by-step.
First, we write down the positions of the letters in the English alphabet:
A = 1, B = 2, C = 3, D = 4, E = 5, F = 6, G = 7, H = 8, I = 9, J = 10, K = 11, L = 12, M = 13, N = 14, O = 15, P = 16, Q = 17, R = 18, S = 19, T = 20, U = 21, V = 22, W = 23, X = 24, Y = 25, Z = 26.
Now, let's look at the first coded word, ‘FEED’:
The letters are F, E, E, and D.
Their alphabetical positions are:
F = 6
E = 5
E = 5
D = 4
Let us calculate the sum of these positions:
Sum = 6 + 5 + 5 + 4 = 20.
To get the code 24 from 20, we can add the number of letters in the word. The word ‘FEED’ has 4 letters:
Code = Sum + Number of letters = 20 + 4 = 24.
Let's verify this pattern with the second word, ‘ACCOUNT’:
The letters and their alphabetical positions are:
A = 1
C = 3
C = 3
O = 15
U = 21
N = 14
T = 20
Let us calculate the sum of these positions:
Sum = 1 + 3 + 3 + 15 + 21 + 14 + 20 = 77.
Let's see if this matches the code 42. Since 77 + 7 (number of letters) = 84, which is not 42, let's explore an alternative logic.
Let's examine the vowels and consonants in each word:
For ‘FEED’ (Code = 24):
Vowels: E, E (2 vowels)
Consonants: F, D (2 consonants)
Let's look at the sum of the positions of the consonants:
F (6) + D (4) = 10.
Let's look at the sum of the positions of the vowels:
E (5) + E (5) = 10.
What if we multiply the number of consonants by the number of letters, or use another combination?
Let's try: (Number of letters) × (Number of consonants) = 4 × 2 = 8. No.
Let's look at the number of vowels and consonants again:
FEED has 4 letters.
ACCOUNT has 7 letters.
PIZZA has 5 letters.
Let's try another simple rule: (Number of letters) × (Something else)?
For FEED: 4 letters. If we multiply 4 by 6, we get 24.
For ACCOUNT: 7 letters. If we multiply 7 by 6, we get 42.
This pattern works perfectly! The code is simply the number of letters in the word multiplied by 6.
Let's check this logic:
1. FEED: 4 letters. .
2. ACCOUNT: 7 letters. .
Now, let's apply the same logic to the word ‘PIZZA’:
The word ‘PIZZA’ contains 5 letters (P, I, Z, Z, A).
Using the established rule:
.
Thus, ‘PIZZA’ will be written as 30.
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