6.2: Transforming a Word or Sequence Using Mirroring

 6.2: Transforming a Word or Sequence Using Mirroring

This type involves replacing each letter in a word or sequence with its complementary letter.

Problem 1

Question: What is the mirrored word for "SUN"?

Solution Process:

• Word: SUN. Positions: S=19, U=21, N=14.
• Mirror each letter:
  • S: 27-19=8 → H.
  • U: 27-21=6 → F.
  • N: 27-14=13 → M.
• New word: HFM.

Solution: HFM

Detailed Explanation:

• Each letter in "SUN" is replaced by its mirror: S (19th) → H (8th), U (21st) → F (6th), N (14th) → M (13th).
• The resulting word is HFM.
• This tests applying the mirror rule to each letter in a word.

Problem 2

Question: What is the mirrored sequence for A, B, C?

Solution Process:

• Sequence: A=1, B=2, C=3.
• Mirror each:
  • A: 27-1=26 → Z.
  • B: 27-2=25 → Y.
  • C: 27-3=24 → X.
• New sequence: Z, Y, X.

Solution: Z, Y, X

Detailed Explanation:

• The sequence A, B, C is mirrored: A (1st) → Z (26th), B (2nd) → Y (25th), C (3rd) → X (24th).
• The result is Z, Y, X, preserving the sequence structure.
• This tests mirroring a short sequence.

Problem 3

Question: In the mirrored word of "KEY", what is the 2nd letter?

Solution Process:

• Word: KEY. Positions: K=11, E=5, Y=25.
• Mirror each:
  • K: 27-11=16 → P.
  • E: 27-5=22 → V.
  • Y: 27-25=2 → B.
• New word: PVB.
• 2nd letter: V.

Solution: V

Detailed Explanation:

• Mirroring "KEY" gives: K (11th) → P (16th), E (5th) → V (22nd), Y (25th) → B (2nd).
• The new word is PVB, and the 2nd letter is V.
• This tests finding a specific position in a mirrored word.

Problem 4

Question: What is the mirrored word for "DOG"?

Solution Process:

• Word: DOG. Positions: D=4, O=15, G=7.
• Mirror each:
  • D: 27-4=23 → W.
  • O: 27-15=12 → L.
  • G: 27-7=20 → T.
• New word: WLT.

Solution: WLT

Detailed Explanation:

• Each letter is mirrored: D (4th) → W (23rd), O (15th) → L (12th), G (7th) → T (20th).
• The result is WLT.
• This tests a three-letter word transformation.

Problem 5

Question: In the mirrored sequence B, D, F, what is the 3rd letter?

Solution Process:

• Sequence: B=2, D=4, F=6.
• Mirror each:
  • B: 27-2=25 → Y.
  • D: 27-4=23 → W.
  • F: 27-6=21 → U.
• New sequence: Y, W, U.
• 3rd letter: U.

Solution: U

Detailed Explanation:

• Mirroring B, D, F gives: B (2nd) → Y (25th), D (4th) → W (23rd), F (6th) → U (21st).
• The 3rd letter in Y, W, U is U.
• This tests a specific position in a mirrored sequence.

Problem 6

Question: What is the mirrored word for "MATH"?

Solution Process:

• Word: MATH. Positions: M=13, A=1, T=20, H=8.
• Mirror each:
  • M: 27-13=14 → N.
  • A: 27-1=26 → Z.
  • T: 27-20=7 → G.
  • H: 27-8=19 → S.
• New word: NZGS.

Solution: NZGS

Detailed Explanation:

• Mirroring "MATH": M (13th) → N (14th), A (1st) → Z (26th), T (20th) → G (7th), H (8th) → S (19th).
• The result is NZGS.
• This tests a four-letter word transformation.

Problem 7

Question: In the mirrored word of "FISH", what is the 1st letter?

Solution Process:

• Word: FISH. Positions: F=6, I=9, S=19, H=8.
• Mirror each:
  • F: 27-6=21 → U.
  • I: 27-9=18 → R.
  • S: 27-19=8 → I.
  • H: 27-8=19 → S.
• New word: URIS.
• 1st letter: U.

Solution: U

Detailed Explanation:

• Mirroring "FISH": F (6th) → U (21st), I (9th) → R (18th), S (19th) → I (8th), H (8th) → S (19th).
• The 1st letter in URIS is U.
• This tests extracting the first letter.

Problem 8

Question: What is the mirrored sequence for X, Y, Z?

Solution Process:

• Sequence: X=24, Y=25, Z=26.
• Mirror each:
  • X: 27-24=3 → C.
  • Y: 27-25=2 → B.
  • Z: 27-26=1 → A.
• New sequence: C, B, A.

Solution: C, B, A

Detailed Explanation:

• Mirroring X, Y, Z: X (24th) → C (3rd), Y (25th) → B (2nd), Z (26th) → A (1st).
• The result is C, B, A, reversing the alphabetical order.
• This tests mirroring a descending sequence.

Problem 9

Question: In the mirrored word of "BOOK", what is the 4th letter?

Solution Process:

• Word: BOOK. Positions: B=2, O=15, O=15, K=11.
• Mirror each:
  • B: 27-2=25 → Y.
  • O: 27-15=12 → L.
  • O: 27-15=12 → L.
  • K: 27-11=16 → P.
• New word: YLLP.
• 4th letter: P.

Solution: P

Detailed Explanation:

• Mirroring "BOOK": B (2nd) → Y (25th), O (15th) → L (12th), O (15th) → L (12th), K (11th) → P (16th).
• The 4th letter in YLLP is P.
• This tests handling repeated letters.

Problem 10

Question: What is the mirrored word for "STAR"?

Solution Process:

• Word: STAR. Positions: S=19, T=20, A=1, R=18.
• Mirror each:
  • S: 27-19=8 → I.
  • T: 27-20=7 → G.
  • A: 27-1=26 → Z.
  • R: 27-18=9 → I.
• New word: IGZI.

Solution: IGZI

Detailed Explanation:

• Mirroring "STAR": S (19th) → I (8th), T (20th) → G (7th), A (1st) → Z (26th), R (18th) → I (9th).
• The result is IGZI.
• This tests a four-letter word with a mix of positions.