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3D Shapes Mock Tests

10 questions available

3D Shapes Mock Test 1

Questions: 10

Sample Questions

DSC Mathematics
A polyhedron has 10 faces and 16 vertices. The number of edges is:
A 22
B 24
C 26
D 28
DSC Mathematics
A hexagonal prism has how many edges?
A 12
B 15
C 18
D 21
Class 12 Mathematics
The angle between the lines (x − 1)/1 = (y − 2)/2 = (z − 3)/3 and (x − 2)/3 = (y − 4)/−1 = (z − 5)/2 is:
A π/2
B π/3
C π/4
D π/6
DSC Mathematics
A polyhedron has 6 faces and 8 vertices. How many edges does it have?
A 10
B 12
C 14
D 16
DSC Mathematics
How many vertices does a cube have?
A 6
B 8
C 10
D 12
Class 12 Mathematics
The equation of the line of shortest distance between the lines (x − 1)/2 = (y − 2)/3 = (z − 3)/4 and (x − 2)/3 = (y − 4)/4 = (z − 5)/5 is parallel to the vector:
A î − 2ĵ + k̂
B −î + 2ĵ − k̂
C î + 2ĵ + k̂
D 2î − 3ĵ + 4k̂
Class 12 Mathematics
The vector equation r⃗ = (î + 2ĵ + 3k̂) + t(2î − ĵ + k̂) represents:
A a line parallel to the vector 2î − ĵ + k̂ passing through the point with position vector î + 2ĵ + 3k̂
B a plane with normal vector 2î − ĵ + k̂
C a line perpendicular to the vector 2î − ĵ + k̂
D a plane passing through the point î + 2ĵ + 3k̂
Class 12 Mathematics
The equation of the plane passing through the point (1, 2, 3) and having normal vector 2î − ĵ + 2k̂ is:
A 2x − y + 2z = 6
B 2x + y + 2z = 11
C 2x − y + 2z = 11
D 2x + y − 2z = 3

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