Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : If diameter of a sphere is decreased by 25%, then its curved surface area is decreased by 43.75%. Reason : Curved surface area is increased when diameter decreases

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm 3 . Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : The total surface area of a cone whose radius is r/2 and slant height 2l is Reason : Total surface area of cone is (π)r(l+r) where r is radius and l is the slant height of the cone.

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : A cone is a solid figure. Reason : A cone is generated when rectangular sheet is rotated about its axis

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : In a cylinder, if radius is halved and height is doubled, the volume will be halved. Reason : In a cylinder, radius is doubled and height is halved, curved surface area will be same.

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : If the inner dimensions of a cuboidal box are 50 cm x 40 cm x 30 cm , then the length of the longest rod that can be placed in the box is 50√2 cm. Reason : The line joining opposite corners of a cuboid is called its diagonal. Also, length of longest rod = length of diagonal.

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : A shot put is a metallic sphere of radius 4 cm. If the density of the metal is 10 g per cm 3 . then the mass of the shot put is 2 kg. Reason : Volume of sphere of radius r is 4/3 πr 3 .

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone is 1/3 πr 3 . Reason : Volume of the cone is given by 1/3 πr 2 h, where r is the radius of the base and h is the height of the cone.

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as Assertion : Into a circular drum of radius 4.2 m and height 3.5 m, the number of full bags of wheat can be emptied, if the space required for wheat in each bag is 2.1 cu. m, is 92 bags nearly. Reason : Volume of circular drum is 1/3 πr 2 h where r is radius and h is height of drum .

Both assertion and reason are true and reason is the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

Assertion is true but reason is false.

Assertion is false but reason is true.

Surface Area and Volumes- Assertion and Reason Type Questions Free MCQ Practice Test with Solutions

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