5.3: Analyzing Structural Properties (e.g., Symmetry, Vowels, Repetitions)

5.3: Analyzing Structural Properties (e.g., Symmetry, Vowels, Repetitions)

This type involves evaluating a word or sequence for structural properties like palindromes, vowel/consonant counts, or repetitions.

Problem 1

Question: Is the word "DEED" palindromic?

Solution Process:

• Check if DEED reads the same forward and backward.
• Forward: DEED. Backward: DEED.
• Since they match, it is palindromic.

Solution: Yes, palindromic

Detailed Explanation:

• A palindrome reads the same forward and backward.
• DEED (D, E, E, D) is identical when reversed.
• This tests the basic concept of symmetry in a word.

Problem 2

Question: How many vowels are in the word "RHYTHM"? (Vowels: A, E, I, O, U)

Solution Process:

• Word: RHYTHM.
• Check each letter: R (consonant), H (consonant), Y (vowel in this context), T (consonant), H (consonant), M (consonant).
• Vowels: Y (1 vowel).

Solution: 1

Detailed Explanation:

• In "RHYTHM", Y is considered a vowel (as in standard linguistic usage for this word).
• No other letters are vowels, so the count is 1.
• This tests vowel identification in a word.

Problem 3

Question: In the sequence A, B, A, C, A, how many times does A appear?

Solution Process:

• Sequence: A, B, A, C, A.
• Count A’s: 1st=A, 3rd=A, 5th=A.
• Total: 3 A’s.

Solution: 3

Detailed Explanation:

• The sequence has 5 letters, with A at positions 1, 3, and 5.
• Counting these gives 3 occurrences.
• This tests frequency analysis in a sequence.

Problem 4

Question: Is the word "RADAR" palindromic?

Solution Process:

• Check RADAR forward and backward.
• Forward: RADAR. Backward: RADAR.
• They match, so it is palindromic.

Solution: Yes, palindromic

Detailed Explanation:

• RADAR reads the same in both directions.
• This is a classic example of a palindrome, testing symmetry recognition.

Problem 5

Question: In the word "SUNDAY", how many consonants are there?

Solution Process:

• Word: SUNDAY.
• Check each letter: S (consonant), U (vowel), N (consonant), D (consonant), A (vowel), Y (consonant).
• Consonants: S, N, D, Y (4 consonants).

Solution: 4

Detailed Explanation:

• Identify vowels (U, A) and consonants (S, N, D, Y, since Y is a consonant here).
• Count the consonants: 4.
• This tests categorization of letters.

Problem 6

Question: In the sequence X, Y, X, Y, X, how many distinct letters are there?

Solution Process:

• Sequence: X, Y, X, Y, X.
• List unique letters: X, Y.
• Count: 2 distinct letters.

Solution: 2

Detailed Explanation:

• The sequence contains only X and Y, regardless of repetitions.
• Distinct letters are X and Y, so the count is 2.
• This tests identifying unique elements.

Problem 7

Question: Is the sequence A, B, C, B, A palindromic?

Solution Process:

• Check forward: A, B, C, B, A.
• Check backward: A, B, C, B, A.
• They match, so it is palindromic.

Solution: Yes, palindromic

Detailed Explanation:

• The sequence is symmetric around the middle (C).
• It reads the same forward and backward, confirming it’s palindromic.
• This tests sequence-level symmetry.

Problem 8

Question: In the word "APPLE", how many repeated letters are there?

Solution Process:

• Word: APPLE.
• Check for repetitions: A (1), P (2, 3), P (repeated), L (4), E (5).
• Repeated letters: P (appears twice).
• Count: 1 letter (P) is repeated.

Solution: 1

Detailed Explanation:

• A repeated letter appears more than once. In APPLE, P appears twice.
• Other letters (A, L, E) appear once, so only P is repeated.
• This tests identifying repetitions.

Problem 9

Question: In the sequence A, A, B, B, C, how many vowels are there?

Solution Process:

• Sequence: A, A, B, B, C.
• Check for vowels: A (vowel), A (vowel), B (consonant), B (consonant), C (consonant).
• Vowels: A, A (2 vowels).

Solution: 2

Detailed Explanation:

• Only A is a vowel in the sequence, appearing twice.
• B and C are consonants, so the vowel count is 2.
• This tests vowel counting in a sequence.

Problem 10

Question: In the word "BOOK", how many distinct letters are there?

Solution Process:

• Word: BOOK.
• List unique letters: B, O, K (O appears twice).
• Count: 3 distinct letters.

Solution: 3

Detailed Explanation:

• BOOK has B, O, O, K, but we count unique letters: B, O, K.
• The count is 3, ignoring O’s repetition.
• This tests distinguishing unique letters.