In a certain code language, 'STUMBLE' is coded as '95', and 'NASTY' is coded as '55'. How will 'CLOUDY' be coded in that language?

Question

Prepp Team · Accepted Answer

Understanding the Coding Decoding Logic

This problem involves identifying a specific pattern used to code words into numbers. We are given two examples: 'STUMBLE' is coded as '95', and 'NASTY' is coded as '55'. We need to decipher this coding logic and apply it to find the code for 'CLOUDY'.

Let's analyze the relationship between the letters in the given words and their corresponding numerical codes. A common approach in such problems is to consider the positional values of letters in the English alphabet (A=1, B=2, ..., Z=26) or their reverse positional values (A=26, B=25, ..., Z=1).

Analyzing the First Example: STUMBLE coded as 95

Let's find the positional values of the letters in STUMBLE:

Letter	Forward Position (A=1, ...)	Reverse Position (Z=1, ...)
S	19	$26 - 19 + 1 = 8$
T	20	$26 - 20 + 1 = 7$
U	21	$26 - 21 + 1 = 6$
M	13	$26 - 13 + 1 = 14$
B	2	$26 - 2 + 1 = 25$
L	12	$26 - 12 + 1 = 15$
E	5	$26 - 5 + 1 = 22$

Sum of Forward Positions = $19 + 20 + 21 + 13 + 2 + 12 + 5 = 92$. This is close to 95.

Sum of Reverse Positions = $8 + 7 + 6 + 14 + 25 + 15 + 22 = 97$. This is also close to 95.

Let's consider the number of vowels in STUMBLE. The vowels are U and E. There are 2 vowels.

If we subtract the number of vowels from the sum of reverse positions: $97 - 2 = 95$. This matches the given code for STUMBLE.

Analyzing the Second Example: NASTY coded as 55

Let's test the proposed logic (Sum of reverse positions - Number of vowels) on the second word, NASTY.

Letter	Forward Position (A=1, ...)	Reverse Position (Z=1, ...)
N	14	$26 - 14 + 1 = 13$
A	1	$26 - 1 + 1 = 26$
S	19	$26 - 19 + 1 = 8$
T	20	$26 - 20 + 1 = 7$
Y	25	$26 - 25 + 1 = 2$

Sum of Reverse Positions = $13 + 26 + 8 + 7 + 2 = 56$.

Now, let's count the vowels in NASTY. The vowels are A. There is 1 vowel.

Applying the logic: Sum of reverse positions - Number of vowels = $56 - 1 = 55$. This matches the given code for NASTY.

The logic is consistent for both examples.

Applying the Logic to CLOUDY

Now we apply the same logic to find the code for CLOUDY.

Letter	Forward Position (A=1, ...)	Reverse Position (Z=1, ...)
C	3	$26 - 3 + 1 = 24$
L	12	$26 - 12 + 1 = 15$
O	15	$26 - 15 + 1 = 12$
U	21	$26 - 21 + 1 = 6$
D	4	$26 - 4 + 1 = 23$
Y	25	$26 - 25 + 1 = 2$

Sum of Reverse Positions = $24 + 15 + 12 + 6 + 23 + 2 = 82$.

Next, count the vowels in CLOUDY. The vowels are O and U. There are 2 vowels.

Applying the logic: Sum of reverse positions - Number of vowels = $82 - 2 = 80$.

Therefore, 'CLOUDY' is coded as '80'.

Revision Table: Coding Summary

Word	Sum of Reverse Positions	Number of Vowels	Code (Sum - Vowels)
STUMBLE	97	2	$97 - 2 = 95$
NASTY	56	1	$56 - 1 = 55$
CLOUDY	82	2	$82 - 2 = 80$

Additional Information on Coding Decoding

Coding-decoding questions are common in competitive exams and assess your logical reasoning ability. The patterns can be based on various principles:

Positional values of letters (forward or reverse).
Sum or product of positional values.
Adding or subtracting a constant or a variable (like number of letters, vowels, or consonants).
Substitution of letters based on a pattern (e.g., moving a certain number of steps forward or backward in the alphabet).
Patterns related to vowels and consonants.
Mixing different types of logic.

To solve these problems effectively, practice analyzing the relationship between the given words and their codes by trying different common patterns and calculations. Pay close attention to details like vowel/consonant counts and positional arithmetic.