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Question

Each vowel In the word “CAPSULE” Is changed to the previous letter In the English alphabetical series and each consonant is changed to the following letter in the English alphabetical series. In the newly formed word, how many alphabets are there in the English alphabetical series between the alphabet which is 3rd from the left and 3rd from the right?

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

Two

Understanding the Alphabet Transformation Process

The question asks us to transform the word “CAPSULE” according to specific rules and then find the number of letters between two specific positions in the newly formed word.

Let's break down the transformation rules:

  • Each vowel in “CAPSULE” is changed to the previous letter in the English alphabetical series.
  • Each consonant in “CAPSULE” is changed to the following letter in the English alphabetical series.

The English alphabet is: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z.

Applying Transformation to “CAPSULE”

First, let's identify the vowels and consonants in the word “CAPSULE”:

  • Vowels: A, U, E
  • Consonants: C, P, S, L

Now, let's apply the transformation rules to each letter:

  • C (Consonant) → Following letter → D
  • A (Vowel) → Previous letter → Z
  • P (Consonant) → Following letter → Q
  • S (Consonant) → Following letter → T
  • U (Vowel) → Previous letter → T
  • L (Consonant) → Following letter → M
  • E (Vowel) → Previous letter → D

Arranging these transformed letters in order, we get the new word:

D Z Q T T M D

Identifying Letters at Specified Positions

The new word is DZQTTMD.

We need to find the alphabet which is:

  • 3rd from the left: Starting from the left (D), the letters are 1st (D), 2nd (Z), 3rd (Q). So, the 3rd letter from the left is Q.
  • 3rd from the right: Starting from the right (D), the letters are 1st (D), 2nd (M), 3rd (T). So, the 3rd letter from the right is T.

The two identified letters are Q and T.

Counting Letters Between Q and T

Now, we need to find how many alphabets are there in the English alphabetical series between Q and T.

Looking at the English alphabet sequence around Q and T:

... P Q R S T U ...

The letters between Q and T are R and S.

Counting these letters, we find there are 2 alphabets (R and S) between Q and T.

Conclusion

After transforming the word “CAPSULE” and identifying the 3rd letter from the left (Q) and the 3rd letter from the right (T) in the new word DZQTTMD, we counted the letters between Q and T in the English alphabet. There are 2 letters (R and S) between them.

Original Letter Type Rule Applied Transformed Letter
C Consonant Following letter D
A Vowel Previous letter Z
P Consonant Following letter Q
S Consonant Following letter T
U Vowel Previous letter T
L Consonant Following letter M
E Vowel Previous letter D

New Word: DZQTTMD

3rd from left: Q

3rd from right: T

Letters between Q and T: R, S

Count: 2

Revision Table: Letter Transformations

Letter Type Transformation Rule Example
Vowel (A, E, I, O, U) Changed to the previous letter in the English alphabetical series. A → Z, E → D, I → H, O → N, U → T
Consonant Changed to the following letter in the English alphabetical series. B → C, C → D, D → E, etc.

Additional Information: Alphabetical Sequencing

Understanding the position of letters in the English alphabet is crucial for these types of questions. The standard English alphabet has 26 letters, starting from A and ending at Z. 'Previous letter' refers to the letter immediately preceding it, and 'following letter' refers to the letter immediately succeeding it.

  • The previous letter for 'A' is often considered 'Z' in cyclical alphabetical problems, or can be unspecified/not applicable depending on the problem's context. Here, A → Z is used.
  • The following letter for 'Z' is often considered 'A' cyclically, or can be unspecified/not applicable. This problem did not require transforming 'Z'.

Counting letters between two letters involves listing the letters in between them and summing them up.

For example, between C and G:

C D E F G

There are 3 letters (D, E, F) between C and G.

In our case, between Q and T:

Q R S T

There are 2 letters (R, S) between Q and T.

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