Mirror Water Image

Key Concepts & Formulas

#ConceptQuick Explanation
1Mirror Image RuleLetters with horizontal symmetry (B, C, D, E, H, I, K, O, X) appear same in mirror
2Water Image RuleLetters with vertical symmetry (A, H, I, M, O, T, U, V, W, X, Y) appear same in water
3Clockwise RotationMirror image = 180° clockwise rotation of original
4Inversion PrincipleWater image = vertical inversion (top becomes bottom)
5Number Symmetry0, 1, 8 remain same in both mirror and water images
6Direction ChangeLeft ←→ Right in mirror, Up ←→ Down in water
7Combined ImagesFor mirror+water: first apply mirror, then water transformation

10 Practice MCQs

Q1. What is the mirror image of “RAILWAY”? A) YAWLIAR B) YA⅃IΛЯ C) ЯAI⅃WAY D) YAWLIAЯ

Answer: B) YA⅃IΛЯ

Solution:

  • R → Я (backward R)
  • A → Λ (inverted V shape)
  • I → I (symmetrical)
  • L → ⅃ (backward L)
  • W → W (symmetrical)
  • A → Λ (inverted V shape)
  • Y → Y (symmetrical)

Shortcut: Write on paper, hold to mirror - read reflected image

Concept: Mirror Image - Letter transformation rules

Q2. Find the water image of “STATION”? A) NOITA⊥S B) NOITATS C) S⊥ATION D) NOITΛ⊥S

Answer: A) NOITA⊥S

Solution:

  • Write vertically and flip upside down
  • S → S (remains same)
  • T → ⊥ (inverted T)
  • A → Λ (inverted A)
  • T → ⊥ (inverted T)
  • I → I (remains same)
  • O → O (remains same)
  • N → N (remains same)

Shortcut: Turn paper upside down, read from bottom to top

Concept: Water Image - Vertical inversion principle

Q3. Which number looks same in mirror image? A) 2 B) 3 C) 0 D) 5

Answer: C) 0

Solution:

  • 2 → backward 2 (different)
  • 3 → backward 3 (different)
  • 0 → 0 (symmetrical, same)
  • 5 → backward 5 (different)

Shortcut: Numbers 0, 1, 8 have mirror symmetry

Concept: Mirror Image - Number symmetry rules

Q4. A train board shows “EXPRESS 123”. What appears in the water reflection of a puddle? A) 321 SSƎɹԳPXƎ B) 321 SƧƎɹԳPXƎ C) ƎXPԳƎɹƧƧ 321 D) 321 SSƎɹԳPXƎ

Answer: A) 321 SSƎɹԳPXƎ

Solution:

  • Reverse entire string: “321 SSƎɹԳPXƎ”
  • E → Ǝ
  • R → ɹ
  • P → Գ
  • Numbers 1,2,3 flip vertically but remain recognizable

Shortcut: Reverse string order + flip each character vertically

Concept: Combined water image with alphanumeric

Q5. If a station clock shows 3:00, what time appears in its mirror? A) 9:00 B) 12:00 C) 9:30 D) 3:00

Answer: A) 9:00

Solution:

  • Mirror time = 12:00 - actual time
  • 12:00 - 3:00 = 9:00
  • Check: 3 and 9 are opposite on clock face

Shortcut: Mirror time = (12:00 - given time) OR (24:00 - given time)

Concept: Mirror Image - Clock dial symmetry

Q6. A ticket shows seat number “B3”. What appears in the mirror at the ticket counter? A) ƎƸ B) ƸƎ C) 3B D) ɘƨ

Answer: B) ƸƎ

Solution:

  • Reverse order: 3B
  • B → ɘ (backward B)
  • 3 → ƨ (backward 3)
  • Result: ƨɘ but written as ƸƎ in options

Shortcut: Reverse string + flip each character horizontally

Concept: Mirror Image - Alphanumeric combinations

Q7. The word “RAILWAY” is written on a train. A person in a helicopter sees its water reflection in a river. What appears? A) YAWLIAR B) YΛW⅃IΛЯ C) ЯAI⅃WAY D) YΛWIΛЯ

Answer: B) YΛW⅃IΛЯ

Solution:

  • First apply mirror: ЯAI⅃WAY
  • Then apply water: YΛW⅃IΛЯ (reverse order + vertical flip)
  • Y → Y (same upside down)
  • A → Λ (inverted)
  • W → W (same)

Shortcut: Mirror first, then water transformation

Concept: Combined mirror + water image

Q8. A platform display shows “TRAIN ★ 180”. In the mirror reflection, what symbol sequence appears? A) 081 ★ NIART B) 081 ★ ЯAIИT C) 081 ★ TИIΛЯ D) 081 ★ ЯИIΛЯ

Answer: C) 081 ★ TИIΛЯ

Solution:

  • Reverse entire string: “081 ★ TИIΛЯ”
  • T → T (symmetrical)
  • R → Я
  • A → Λ
  • I → I
  • N → И
  • ★ → ★ (symmetrical)
  • Numbers 1,8,0 flip appropriately

Shortcut: Star symbol remains same, focus on letter transformations

Concept: Complex string with special characters

Q9. If “DELHI” is written on transparent paper and viewed through water droplets on glass, what appears? A) IHᄅƎD B) IH⅃ƎD C) IHIƎD D) IHᄅED

Answer: B) IH⅃ƎD

Solution:

  • Water image = vertical inversion
  • Reverse order: IHLED
  • D → D (symmetrical vertical)
  • E → Ǝ (inverted)
  • L → ⅃ (inverted)
  • H → H (symmetrical)
  • I → I (symmetrical)

Shortcut: Transparent paper + water = water image only

Concept: Water Image - Transparent medium scenario

Q10. A railway sign shows “CAUTION ⚠ 50m”. In the driver’s mirror, what complete sequence appears? A) m05 ⚠ NOITAUC B) m05 ⚠ ИOITΛƆU C) m05 ⚠ ИOITΛUC D) m05 ⚠ ИOITΛ∩Ɔ

Answer: B) m05 ⚠ ИOITAƆU

Solution:

  • Reverse string: “m05 ⚠ ИOITΛƆU”
  • C → Ɔ (backward C)
  • A → Λ (inverted)
  • U → ∩ (inverted U)
  • T → T (symmetrical)
  • I → I
  • O → O
  • N → И (backward N)
  • ⚠ → ⚠ (symmetrical)
  • m → m (symmetrical)

Shortcut: Warning symbols usually symmetrical, focus on text

Concept: Mirror Image - Real-world signage application

5 Previous Year Questions

PYQ 1. Find the water image of “RAILWAY” [RRB NTPC 2021 CBT-1]

Answer: YΛW⅃IΛЯ

Solution: Reverse the word and flip each letter vertically: R→Я, A→Λ, I→I, L→⅃, W→W, A→Λ, Y→Y

Exam Tip: Write the word upside down on paper, then read from bottom

PYQ 2. What is the mirror image of “STATION 15”? [RRB Group D 2022]

Answer: S1 NOITA⊥S

Solution: Reverse entire string: “S1 NOITA⊥S” where T→⊥, S→S, 1→1 (backward), 5→Ƨ

Exam Tip: Numbers 2,3,4,5,7 change in mirror; 0,1,8 remain same

PYQ 3. If a clock shows 2:45, what time appears in mirror? [RRB ALP 2018]

Answer: 9:15

Solution: Mirror time = 11:60 - 2:45 = 9:15 (or 12:00 - 2:45 = 9:15, adjust for 12-hr format)

Exam Tip: For mirror clock: Subtract from 12:00 or 24:00

PYQ 4. Find the water image of “ENGINE” [RRB JE 2019]

Answer: ƎИIGИƎ

Solution: E→Ǝ (inverted), N→И (backward), G→G (symmetrical), I→I, N→И, E→Ǝ

Exam Tip: Some letters like G appear same in water image

PYQ 5. A train number “12345” appears in water reflection. What is seen? [RPF SI 2019]

Answer: 54321 with flipped digits

Solution: Reverse order: 54321, then flip each digit vertically: 5→5, 4→4, 3→Ɛ, 2→⅋, 1→1

Exam Tip: In water image, reverse the sequence first, then flip each character

Speed Tricks & Shortcuts

SituationShortcutExample
Mirror Clock Time12:00 - given time4:30 → 7:30
Letters same in mirrorRemember BCDEHIKOXB→B, C→C, D→D
Letters same in waterRemember AHMOTUVWXYA→A, H→H, M→M
Quick mirror checkWrite on hand, use phone camera“TRAIN” → “ИIΛЯT”
Water image of numbersReverse + flip vertically“123” → “Ɛ⅋1”

Common Mistakes to Avoid

MistakeWhy Students Make ItCorrect Approach
Confusing mirror vs waterBoth involve flippingMirror = horizontal flip, Water = vertical flip
Forgetting to reverse stringFocus only on character flipAlways reverse order first, then flip characters
Clock mirror errorUsing 6:00 instead of 12:00Use 12:00 or 24:00 as reference point
Assuming all numbers changeThinking 0,1,8 also changeRemember 0,1,8 remain same in mirror
Ignoring symbol symmetryTreating all symbols same★,⚠,● usually remain unchanged

Quick Revision Flashcards

Front (Question/Term)Back (Answer)
Mirror image of AΛ
Water image of MM
Numbers same in mirror0, 1, 8
Mirror time formula12:00 - given time
Letters same in waterA, H, M, O, T, U, V, W, X, Y
Mirror of “TRAIN”ИIΛЯT
Water of “STATION”NOITA⊥S
Combined transformation orderMirror first, then water
Platform sign mirrorReverse + character flip
Emergency symbols in mirrorUsually remain same

Topic Connections

  • Direct Link: Alphabet Test - Letter recognition and symmetry concepts
  • Combined Questions: Often asked with Direction Sense (train directions in reflections)
  • Foundation For: Figure Counting - Understanding symmetry helps in complex figure problems
  • Exam Strategy: 2-3 questions guaranteed in every RRB exam, easiest 2 marks if concepts clear