If 'REASONING' appears as 'GNINOSRER' in a mirror, the mirror is:
Answer: B
The complete reversal of letter sequence indicates a horizontal (water) mirror.
Q.2Hard
What is the water image of the sequence 'b, d, p, q'?
Answer: A
Water image reverses sequence and flips each character vertically: b↔d and p↔q, giving q, p, d, b.
Q.3Hard
If a digital clock display shows '18:45' in mirror, what is the actual time?
Answer: B
Mirror time formula: Actual time = 24:00 - mirror time = 24:00 - 18:45 = 5:15.
Q.4Hard
A word has its mirror image as 'GNITSRETNOC'. What is the original word?
Answer: C
Reversing GNITSRETNOC gives CONTESTING as the original word.
Q.5Hard
The mirror image of a number appears as 'ᄅ06'. What is the actual number if read from the mirror?
Answer: A
The mirror-reversed form ᄅ06 represents 609 when reversed back, as 6↔9 in mirror images.
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Q.6Hard
In which scenario would a figure appear identical in both mirror and water images?
Answer: C
A figure appears identical in both mirror and water images only if it possesses symmetry about both axes simultaneously, like a square or circle.
Q.7Hard
The water image of the letter 'L' would appear as:
Answer: B
Water image (vertical flip) of 'L' transforms it to a shape resembling 'Γ' (gamma), where the vertical part remains but appears at top and horizontal part at top too.
Q.8Hard
In a complex scenario, if you apply mirror transformation followed by water transformation to the letter 'R', the final result will be:
Answer: D
Applying mirror transformation (horizontal flip) followed by water transformation (vertical flip) is equivalent to a 180-degree rotation.
Q.9Hard
The mirror image of '2024' as displayed on a digital seven-segment display would be?
Answer: C
On seven-segment display, '2' in mirror becomes an unrecognizable shape, and '4' becomes distorted. The overall image becomes unrecognizable.
Q.10Hard
A quadrilateral ABCD has vertices A(1,2), B(4,2), C(4,5), D(1,5). If reflected in a vertical mirror (y-axis), what is the distance between original point B and reflected point B'?
Answer: A
Point B(4,2) reflects to B'(-4,2). Distance = √[(4-(-4))² + (2-2)²] = √64 = 8 units.
Q.11Hard
The pattern '→↑←↓' undergoes water image transformation. What will be the resulting pattern?
Answer: C
In water image, horizontal arrows flip (→ becomes ←, ← becomes →) and vertical arrows flip (↑ becomes ↓, ↓ becomes ↑). Pattern becomes '←↑→↓'.
Q.12Hard
In a complex scenario combining both mirror and water images, a letter 'X' undergoes vertical mirror reflection followed by horizontal mirror reflection. What is the final orientation?
Answer: A
'X' has perfect symmetry both vertically and horizontally. Two sequential reflections at 90 degrees to each other result in the original orientation.
Q.13Hard
The mirror image of a shape shows that point P at distance 4cm from the mirror is now 8cm from point P'. This demonstrates which principle?
Answer: D
All these principles demonstrate that in mirror reflection, the mirror acts as a perpendicular bisector with equal distances on both sides.
Q.14Hard
In a combined mirror and water image transformation, if a point is first reflected vertically then horizontally, it undergoes a rotation of:
Answer: B
Vertical mirror reflection followed by horizontal water image reflection results in 180° rotation about the point of intersection of the two mirrors.
Q.15Hard
Which capital letter from the English alphabet requires the LEAST number of strokes to draw its mirror image identically?
Answer: C
Letter 'I' is a single vertical line and has complete vertical symmetry, requiring no additional strokes for mirror image.
Q.16Hard
A digital clock displays 12:21. Its mirror image (vertical reflection) would show:
Answer: C
In digital mirror image, the numerals are individually reflected and positions adjusted. 12:21 becomes 12:51 considering digit transformations.
Q.17Hard
A shape undergoes both mirror reflection (vertical) and water image (horizontal). If a point moves from position (3,4) to (3,-4) after both transformations, which transformation happened first?
Answer: C
Both transformations applied result in the same final position regardless of order due to the properties of perpendicular reflections.
Q.18Hard
The word 'MATHEMATICS' undergoes water image transformation (horizontal flip). How many letters change their appearance?
Answer: C
Letters unchanged in water image: M, A, T, H, A, T, I, C, S (9 letters). Letters that change: E, M (second M). Total = 10 letters change when all instances are counted.
Q.19Hard
A figure is first reflected in a vertical mirror, then the result is reflected in a horizontal mirror. What is the net effect?
Answer: A
Vertical mirror reflection followed by horizontal mirror reflection is equivalent to a 180° rotation about the point of intersection of the mirror lines.
Q.20Hard
A rectangle with length 8 cm and width 5 cm is reflected in a diagonal mirror. How many of its dimensions change?
Answer: C
When reflected across a diagonal, both length and width swap positions. The reflected figure will have length 5 cm and width 8 cm.
