Q 1 – Assertion (A) –The side-view of a cone appears as triangle.
Reasons (R) –A cone is a three-dimensional geometric shape that tapers smoothly from a flat base
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. d) A is false but R is true
Observe the following figure as assertions for the following questions:-
Q 2 – Reasons (R) –The number of faces is 8
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 3 – Reasons (R) –The number of edges is 15
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 4 – Assertion (A) –The base of a prism is any shape
Reasons (R) –A prism is a 3-dimensional shape with two identical shapes facing each other
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 5 – Assertion (A) –Number of vertices a cone has 1
Reasons (R) –A cone is a three-dimensional geometric shape that tapers smoothly from a flat base
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 6 – Assertion (A) –6 edges does a triangular prism have
Reasons (R) –A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 7 – Assertion (A) –For any polyhedron, F + V – E = 2 where ‘F’ stands for
number of faces, V stands for number of vertices and E stands for number of edges
Reasons (R) –For a polyhedron, if ‘F’ stands for number of faces, V stands for number of vertices and E stands for number of edges.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 8 – Assertion (A) –
Reasons (R) –The name of the shape is cuboid.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. c) A is true but R is false
Q 9 – Assertion (A) –
Reasons (R) –The name of the shape is circle.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. c) A is true but R is false
Q 10 – Assertion (A) –
Reasons (R) –The name of the shape is cone.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 11 – Assertion (A) –12 edges does a cuboid have
Reasons (R) –a cuboid is a convex polyhedron bounded by six quadrilateral
faces, whose polyhedral graph is the same as that of a cube
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 12 – Assertion (A) –4 vertices does a triangular pyramid have
Reasons (R) –A triangular pyramid is a geometric solid with a triangular base, and all three lateral faces are also triangles with a common vertex
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. a) Both A and R are true and R is the correct explanation of A
Q 13 – Assertion (A) –4 faces does a triangular prism have
Reasons (R) –A triangular prism is a 3D shape with two identical faces in the
shape of a triangle connected by three rectangular faces.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. d) A is false but R is true
Q 14 – Assertion (A) –10 vertices does a cuboid have
Reasons (R) –a cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. d) A is false but R is true
Q 15 – Assertion (A) –3 faces does a triangular pyramid have
Reasons (R) –A triangular pyramid is a geometric solid with a triangular base, and all three lateral faces are also triangles with a common vertex
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Ans. d) A is false but R is true