2.2 - Reversing Entire Alphabet - Alphabetical Reasoning Problems

  2.2 - Reversing Entire Alphabet - Alphabetical Reasoning Problems

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Problem 1: Find the entire reversed word

Question: What is the reversed form of the word "HOUSE"?

Solution Process:

• Original word: HOUSE (5 letters).
• Reverse the letters from last to first: E (5th), S (4th), U (3rd), O (2nd), H (1st).
• Reversed word: ESUOH.

Solution: ESUOH

Detailed Explanation:

• The word "HOUSE" has 5 letters with positions: H (1), O (2), U (3), S (4), E (5).
• Reversing means reordering from the last letter to the first: position 5 becomes position 1, position 4 becomes position 2, and so on.
• Thus, E (5th) becomes the 1st letter, S (4th) becomes the 2nd, U (3rd) becomes the 3rd, O (2nd) becomes the 4th, and H (1st) becomes the 5th, resulting in "ESUOH".
• This tests the basic skill of reversing the entire word.

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Problem 2: Identify a specific letter at a given position

Question: If the word "MONDAY" is reversed, what is the 3rd letter in the reversed word?

Solution Process:

• Original word: MONDAY (6 letters).
• Reverse the word: Y (6th), A (5th), D (4th), N (3rd), O (2nd), M (1st) → YADNOM.
• Identify the 3rd letter in the reversed word: Y (1), A (2), D (3).
• 3rd letter: D.

Solution: D

Detailed Explanation:

• "MONDAY" has 6 letters: M (1), O (2), N (3), D (4), A (5), Y (6).
• Reversing swaps the positions: the 6th letter (Y) becomes the 1st, the 5th (A) becomes the 2nd, ..., the 1st (M) becomes the 6th, resulting in "YADNOM".
• The 3rd letter in "YADNOM" is D.
• Alternatively, the 3rd letter in the reversed word corresponds to the (6-3+1)=4th letter in the original word, which is D.
• This tests positional mapping after reversal.

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Problem 3: Compare properties (vowels)

Question: How many vowels are in the word "PIZZAZ" before and after reversal? (Vowels: A, E, I, O, U)

Solution Process:

• Original word: PIZZAZ (6 letters).
• Identify vowels in original: P (consonant), I (vowel), Z (consonant), Z (consonant), A (vowel), Z (consonant). Vowels: I, A (2 vowels).
• Reverse the word: Z (6th), A (5th), Z (4th), Z (3rd), I (2nd), P (1st) → ZAZZIP.
• Identify vowels in reversed: Z (consonant), A (vowel), Z (consonant), Z (consonant), I (vowel), P (consonant). Vowels: A, I (2 vowels).
• Compare: 2 vowels before, 2 vowels after.

Solution: 2 vowels before reversal, 2 vowels after reversal.

Detailed Explanation:

• "PIZZAZ" has 6 letters: P (1), I (2), Z (3), Z (4), A (5), Z (6).
• The original word has vowels I (2nd) and A (5th), totaling 2 vowels.
• The reversed word "ZAZZIP" has vowels A (2nd) and I (5th), also 2 vowels.
• While the positions of the vowels change (I from 2nd to 5th, A from 5th to 2nd), the total number of vowels remains the same because the letters are identical, just reordered.
• This tests the ability to analyze letter properties and their invariance under reversal.

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Problem 4: Reverse only a portion of the word

Question: Reverse the first 3 letters of the word "FROZEN" and keep the rest unchanged. What is the resulting word?

Solution Process:

• Original word: FROZEN (6 letters).
• First 3 letters: F (1), R (2), O (3).
• Reverse the first 3 letters: O (3rd), R (2nd), F (1st) → ORF.
• Keep the rest (4th, 5th, 6th letters: Z, E, N) unchanged.
• Combine: ORF + ZEN → ORFZEN.

Solution: ORFZEN

Detailed Explanation:

• "FROZEN" has 6 letters: F (1), R (2), O (3), Z (4), E (5), N (6).
• Only the first 3 letters (F, R, O) are reversed, so O becomes the 1st, R the 2nd, and F the 3rd, giving "ORF".
• The 4th (Z), 5th (E), and 6th (N) letters remain unchanged.
• The resulting word is "ORFZEN", combining the reversed portion (ORF) with the unchanged portion (ZEN).
• This variant tests partial reversal, requiring careful handling of the specified substring.

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Problem 5: Identify a specific letter at a given position

Question: If the word "GUITAR" is reversed, what is the 5th letter in the reversed word?

Solution Process:

• Original word: GUITAR (6 letters).
• Reverse: R (6th), A (5th), T (4th), I (3rd), U (2nd), G (1st) → RATIU.
• 5th letter in reversed word: R (1), A (2), T (3), I (4), U (5).
• 5th letter: U.

Solution: U

Detailed Explanation:

• "GUITAR" has 6 letters: G (1), U (2), I (3), T (4), A (5), R (6).
• Reversing gives "RATIU": R (1), A (2), T (3), I (4), U (5), G (6).
• The 5th letter in the reversed word is U.
• Alternatively, the 5th letter in the reversed word corresponds to the (6-5+1)=2nd letter in the original word, which is U.
• This reinforces positional mapping skills.

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Problem 6: Compare properties (consonants)

Question: How many consonants are in the word "AUDIO" before and after reversal? (Consonants: all letters except A, E, I, O, U)

Solution Process:

• Original word: AUDIO (5 letters).
• Identify consonants in original: A (vowel), U (vowel), D (consonant), I (vowel), O (vowel). Consonant: D (1 consonant).
• Reverse the word: O (5th), I (4th), D (3rd), U (2nd), A (1st) → OIDUA.
• Identify consonants in reversed: O (vowel), I (vowel), D (consonant), U (vowel), A (vowel). Consonant: D (1 consonant).
• Compare: 1 consonant before, 1 consonant after.

Solution: 1 consonant before reversal, 1 consonant after reversal.

Detailed Explanation:

• "AUDIO" has 5 letters: A (1), U (2), D (3), I (4), O (5).
• The only consonant in the original word is D (3rd), giving 1 consonant.
• The reversed word "OIDUA" has D (3rd) as the only consonant, also 1 consonant.
• The number of consonants remains the same because the letters are the same, though their positions change (D stays in the 3rd position in this case).
• This tests the analysis of letter properties under reversal.

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Problem 7: Find the entire reversed word

Question: What is the word obtained by reversing "CANDLE"?

Solution Process:

• Original word: CANDLE (6 letters).
• Reverse: E (6th), L (5th), D (4th), N (3rd), A (2nd), C (1st) → ELDNAC.
• Reversed word: ELDNAC.

Solution: ELDNAC

Detailed Explanation:

• "CANDLE" has 6 letters: C (1), A (2), N (3), D (4), L (5), E (6).
• Reversing reorders the letters: E (6th) becomes 1st, L (5th) becomes 2nd, ..., C (1st) becomes 6th, resulting in "ELDNAC".
• This is a straightforward full-word reversal, similar to Problem 1 but with a different word to vary the letter patterns.
• It tests the core skill of reversing a letter sequence.

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Problem 8: Reverse only a portion of the word

Question: Reverse the last 3 letters of the word "PLANET" and keep the rest unchanged. What is the resulting word?

Solution Process:

• Original word: PLANET (6 letters).
• Last 3 letters: N (4th), E (5th), T (6th).
• Reverse the last 3 letters: T (6th), E (5th), N (4th) → TEN.
• Keep the first 3 letters unchanged: P (1), L (2), A (3) → PLA.
• Combine: PLA + TEN → PLATEN.

Solution: PLATEN

Detailed Explanation:

• "PLANET" has 6 letters: P (1), L (2), A (3), N (4), E (5), T (6).
• Only the last 3 letters (N, E, T) are reversed, so T becomes the 4th, E the 5th, and N the 6th, giving "TEN".
• The first 3 letters (P, L, A) remain unchanged.
• The resulting word is "PLATEN", combining the unchanged portion (PLA) with the reversed portion (TEN).
• This tests the ability to manipulate a specific substring while preserving the rest.

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Problem 9: Identify a specific letter at a given position

Question: If the word "GARDEN" is reversed, what is the 4th letter in the reversed word?

Solution Process:

• Original word: GARDEN (6 letters).
• Reverse: N (6th), E (5th), D (4th), R (3rd), A (2nd), G (1st) → NEDRAG.
• 4th letter in reversed word: N (1), E (2), D (3), R (4).
• 4th letter: R.

Solution: R

Detailed Explanation:

• "GARDEN" has 6 letters: G (1), A (2), R (3), D (4), E (5), N (6).
• Reversing gives "NEDRAG": N (1), E (2), D (3), R (4), A (5), G (6).
• The 4th letter in the reversed word is R.
• Alternatively, the 4th letter in the reversed word corresponds to the (6-4+1)=3rd letter in the original word, which is R.
• This strengthens understanding of positional correspondences.

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Problem 10: Compare properties (vowels and consonants)

Question: In the word "RHYTHM", how many vowels and consonants are at odd positions before and after reversal?

Solution Process:

• Original word: RHYTHM (6 letters).
• Odd positions in original (1st, 3rd, 5th): R (1st, consonant), Y (3rd, vowel), H (5th, consonant).
  • Vowels: 1 (Y), Consonants: 2 (R, H).
• Reverse the word: M (6th), H (5th), T (4th), Y (3rd), H (2nd), R (1st) → MHTYHR.
• Odd positions in reversed (1st, 3rd, 5th): M (1st, consonant), T (3rd, consonant), H (5th, consonant).
  • Vowels: 0, Consonants: 3.
• Compare:
  • Before: 1 vowel, 2 consonants.
  • After: 0 vowels, 3 consonants.

Solution: Before reversal: 1 vowel, 2 consonants at odd positions. After reversal: 0 vowels, 3 consonants at odd positions.

Detailed Explanation:

• "RHYTHM" has 6 letters: R (1), H (2), Y (3), T (4), H (5), M (6).
• Odd positions in the original (1, 3, 5): R (consonant), Y (vowel), H (consonant), giving 1 vowel (Y) and 2 consonants (R, H).
• The reversed word "MHTYHR" has odd positions (1, 3, 5): M (consonant), T (consonant), H (consonant), giving 0 vowels and 3 consonants.
• The reversal changes the letters at odd positions, resulting in no vowels and all consonants.
• Note: Y is considered a vowel in "RHYTHM" (as in standard linguistic usage for this word).
• This tests the analysis of letter properties at specific positions and their transformation under reversal.

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Summary of Problems

• Problems 1, 7: Find the entire reversed word (full reversal).
• Problems 2, 5, 9: Identify a specific letter at a given position in the reversed word.
• Problems 3, 6, 10: Compare properties (vowels or consonants) before and after reversal.
• Problems 4, 8: Reverse only a portion of the word (specific substring).
• Each problem emphasizes manipulating letter positions, with variations in complexity and analysis type.

If you need additional examples, specific variants, or deeper explanations for any problem, please let me know!