GATE EC 2024 Set 1 — Question 9
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General Aptitude → Spatial Aptitude → Transformation of Shapes (Translation, Rotation, Scaling, Mirroring)
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Question
Examples of mirror and water reflections are shown in the figures below:
An object appears as the image (written in seven-segment display digits, with a dot between the 5 and the 2) after first reflecting in a mirror and then reflecting on water.
The original object is
The original object is
Correct answer
(A) [figure]
Solution
A mirror reflection flips the figure left–right; a water reflection then flips it top–bottom. Doing both is the same as rotating the object by . So the original object is the observed image rotated by (rotating by again undoes it).Rotating by :
- the order of the characters reverses: 4, 2, dot, 5;
- in seven-segment form, a rotated 4 looks like "h", a rotated 2 is still 2, and a rotated 5 is still 5;
- the dot stays between the 2 and the 5.
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