GATE 2022 MA – Question 5

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 1 mark · Multiple choice

The shown disc has identical front and rear patterns. It is flipped once about one of fixed axes 1–1,2–2,3–3, each equally likely. What is the probability that it does not retain the same front and rear views?

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Correct answer: (C) 2/3

Explanation

A flip acts as reflection of the shaded pattern about the chosen diameter while interchanging faces. Compare both views for each of the three marked axes: one preserves the pattern and two change it. Thus the probability of retaining it is 1/3 and the complementary probability is 1−1/3=**2/3, C**.

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