Mechanical Engineering
2022 · Paper 2
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2022 Paper 2 overview, original pages and practice · Timed previous-paper practice
Questions 10–12 of 65. Imported answers require review unless explicitly marked reviewed.
Question 10
Open questionGAMCQ2 marksNeeds review
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.
What is the ratio of the areas of unshaded regions of case M to that of case N?

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Open questionMEMCQ1 markNeeds review
is a periodic square wave function as shown. It takes only two values, 4 and 0, and stays at each of these values for 1 second before change. What is the constant term in the Fourier series expansion of
? 
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Open questionMEMCQ1 markNeeds review
Consider a cube of unit edge length and sides parallel to co-ordinate axes, with its centroid at the point
. The surface integral
of a vector field
over the entire surface
of the cube is _____.Your answerChoose one option.
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