Assertion (A) & Reason (B) MCQ - Maths STD 8 Questions - Vidyadip

Questions

Assertion (A) & Reason (B) MCQ

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60 questions · auto-graded multiple-choice test.

MCQ 11 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ The area of a rhombus is $60 cm^2$. One diagonal is $10 \ cm$ . The other diagonal is $12 \ cm$ Reasons $(R):$ Area of a rhombus $=\frac{1}{2} \times d 1 d 1 \times d 2 d 2$, where d $1$ d $1$ and d $2$ d $2$ are diagonals of a rhombus

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 21 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A)$: The total surface area of a cylinder of base radius $r$ and height $h$ is $2 \pi r(r+h)$ Reasons $( R )$: The surface area formula is a mathematical solution to find the total area of any three-dimensional object occupied by all of its surfaces

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 31 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A):$ The volume of a cuboid of length $I$ , breadth b and height h is $lb + h$ Reasons $( R )$: Volume of cuboid is the product of length, width and height.

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 41 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A): 1 cm^3=100 mm^3$
Reasons $(R)$: Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 51 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: A glass in the form of a right circular cylinder is half full of water. Its base radius is $3 \ cm$ and height is $8 \ cm$ . The volume of water is $36 cm^3$
Reasons $(R)$: Volume is calculated by multiplying length $x$ width $x$ height

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 61 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A):$ The surface area of a cuboid of length $I$, breadth $b$ and height $h$ is $2( lb + bh + hl )$ Reasons $( R )$ : Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.

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MCQ 71 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A):$ The volume of a cylinder of base radius $r$ and height $h$ is $\pi r^2 h$ Reasons $(R):$ The volume of cylinder is the amount of space in it. It can be obtained by multiplying its base area by its height.

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 81 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $1cm^3= 0.01m^3$
Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

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
C
$A$. $A$ is true but $R$ is false.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 91 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A):$ The volume of a cube of edge $a$ is $a \times a \times a \times a$. Reasons $( R )$ : Volume of cube is equal to the cube of its side (all the sides are equal in length).

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 101 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ The volume of a room is $80 m^3$. The area of the floor is $20 m^2$. The height of the room is $4 m$ .
Reasons $(R):$ Volume is calculated by multiplying length $x$ width $x$ height

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.

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MCQ 111 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A):$ The area of a square of side $a$ is $a \times a$. Reasons ( $R$ ): The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides.

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 121 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The base area of a right circular cylinder is $16 K cm ^3$. Its height is $5 \ cm$ . Its curved surface area is $40 cm^2$
Reasons ( $R$ : A curved surface is part of the surface of a cylinder of given radius, multiplied by its height

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 131 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ $1 m^3=1000000 cm^3$
Reasons $(R):$ Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 141 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ The area of a trapezium is $40 cm^2$. Its parallel sides are $12 \ cm$ and $8 \ cm$ . The distance between the parallel sides is $4 cm$
Reasons $(R):$ Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 151 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A):$ The area of a rectangle of length $a$ and breadth $b$ is ab Reasons $(R):$ The area of a rectangle $(A)$ is the product of its length ' $a$ ' and width or breadth 'b'.

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 161 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A)$: The perimeter of the figure is $5\ cm$

Reasons $(R)$: A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

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
C
$A$. $A$ is true but $R$ is false.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 171 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The area of the figure is $6cm^2$

Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 181 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The ratio of the radii of two right circular cylinders is $1: 2$ and the ratio of their heights is $4: 1$. The ratio of their volumes is $1: 1$
Reasons ( $R$ ): a ratio indicates how many times one number contains another

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 191 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A): 8$ persons can stay in a cubical room. Each person requires $27 m^3$ of air. The side of the cube is $6 \ cm$ . Reasons ( $R$ ): The surface area of a cube can be represented as $6 s^2$, since a cube has six sides and the surface area of each side is represented by its length

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.

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MCQ 201 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:

Assertion (A): The area of the figure is $16cm^2$
Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 211 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A)$: If the height of a cuboid becomes zero, it will take the shape of a square 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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 221 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The base radius and height of a right circular cylinder are $14\ cm$ and $5\ cm$ respectively. Its curved surface is $220cm^2$
Reasons $(R)$: A curved surface is part of the surface of a cylinder of given radius, multiplied by its height.

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 231 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A):$ The area of a parallelogram of base $b$ and altitude $h$ is bh Reasons ( $R$ ): The formula to calculate the area of a parallelogram is given as Area of parallelogram $=$ base $\times$ height square units.

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 241 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ The surface area of a cube of edge a is $6 a^2$
Reasons $(R)$: The surface area formula is a mathematical solution to find the total area of any three-dimensional object occupied by all of its surfaces

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 251 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The heights of two right circular cylinders are the same. Their volumes are respectively $16 \pi$ $m^3$ and 81 $\pi$ $m^3$. The ratio of their base radii is $4 : 9$
Reasons $(R)$: a ratio indicates how many times one number contains another

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 261 Mark

Directions: In the following questions, the $A$ssertions ($A$) and $R$eason(s) ($R$) have been put forward. $R$ead both the statements carefully and choose the correct alternative from the following: Assertion ($A$): The area of a circle of radius r is $r \times r$ Reasons ($R$): $A$rea of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, $\text{A} = \pi\text{r}^{2}$

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 271 Mark

Directions: In the following questions, the $A$ssertions ($A$) and $R$eason(s) ($R$) have been put forward. $R$ead both the statements carefully and choose the correct alternative from the following:
Assertion ($A$): $1mm^3= 0.001cm^3$
Reasons ($R$): $A$rea is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 281 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion ($A$): The floor of a room is a square of side $6\ m$. Its height is $4\ m$. The volume of the room is $142m^3$
Reasons ($R$): Volume is calculated by multiplying length $x$ width $x$ height

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 291 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A)$: The perimeter of the figure is $14\ cm.$

Reasons $(R)$: $A$ perimeter is $A$ closed path that encompasses, surrounds, or outlines either $A$ two dimensional shape or $A$ one-dimensional length

✓
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.

Answer

Correct option: A.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 301 Mark

Directions: In the following questions, the Assertions ($A$) and Reason(s) ($R$) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion ($A$): The area of a triangle with base b and altitude h is $\frac{1}{3}$ bh Reasons ($R$): The area of a triangle is defined as the total space occupied by the three sides of a triangle in a $2-$ dimensional plane

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

$A$ is false but $R$ is true.

$A$ is false but $R$ is true.

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MCQ 311 Mark

Assertion (A): The area of the figure is 6cm²

Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 321 Mark

Assertion (A): The volume of a room is 80m³. The area of the floor is 20m². The height of the room is 4m.
Reasons (R): Volume is calculated by multiplying length x width x height.

A
Both A and R are true and R is the correct explanation of A.
✓
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.

Answer

Correct option: B.

Both A and R are true but R is not the correct explanation of A.

B

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MCQ 331 Mark

Assertion (A): The volume of a cuboid of length l, breadth b and height h is lb + h
Reasons (R): Volume of cuboid is the product of length, width and height.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 341 Mark

Assertion (A): The volume of a cube of edge a is a × a × a × a.
Reasons (R): Volume of cube is equal to the cube of its side (all the sides are equal in length).

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 351 Mark

Assertion (A): The total surface area of a cylinder of base radius r and height h is $2\pi\text{r } (\text{r + h})$
Reasons (R): The surface area formula is a mathematical solution to find the total area of any three-dimensional object occupied by all of its surfaces.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 361 Mark

Assertion (A): The surface area of a cuboid of length l, breadth b and height h is 2 (lb + bh + hl)
Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

A
Both A and R are true and R is the correct explanation of A.
✓
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.

Answer

Correct option: B.

Both A and R are true but R is not the correct explanation of A.

B

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MCQ 371 Mark

Assertion (A): The surface area of a cube of edge a is 6a²
Reasons (R): The surface area formula is a mathematical solution to find the total area of any three-dimensional object occupied by all of its surfaces.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 381 Mark

Assertion (A): The ratio of the radii of two right circular cylinders is 1 : 2 and the ratio of their heights is 4 : 1. The ratio of their volumes is 1 : 1
Reasons (R): a ratio indicates how many times one number contains another.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 391 Mark

Assertion (A): The perimeter of the figure is 5cm.

Reasons (R): A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 401 Mark

Assertion (A): The perimeter of the figure is 14cm.

Reasons (R): A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 411 Mark

Assertion (A): The heights of two right circular cylinders are the same. Their volumes are respectively 16 $\pi$ m³and 81 $\pi$ m³. The ratio of their base radii is 4 : 9
Reasons (R): a ratio indicates how many times one number contains another.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 421 Mark

Assertion (A): The floor of a room is a square of side 6m. Its height is 4m. The volume of the room is 142m³
Reasons (R): Volume is calculated by multiplying length x width x height.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 431 Mark

Assertion (A): The base radius and height of a right circular cylinder are 14cm and 5cm respectively. Its curved surface is 220cm²
Reasons (R): A curved surface is part of the surface of a cylinder of given radius, multiplied by its height.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 441 Mark

Assertion (A): The base area of a right circular cylinder is 16K cm³. Its height is 5cm. Its curved surface area is 40cm²
Reasons (R): A curved surface is part of the surface of a cylinder of given radius, multiplied by its height.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 451 Mark

Assertion (A): The area of the figure is 16cm²

Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 461 Mark

Assertion (A): The area of a triangle with base b and altitude h is $\frac{1}{3}$ bh
Reasons (R): The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 471 Mark

Assertion (A): The area of a trapezium is 40cm². Its parallel sides are 12cm and 8cm. The distance between the parallel sides is 4cm
Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 481 Mark

Assertion (A): The area of a square of side a is a × a.
Reasons (R): The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 491 Mark

Assertion (A): The area of a rhombus is 60cm². One diagonal is 10cm. The other diagonal is 12cm
Reasons (R): Area of a rhombus = $\frac{1}{2}$ × d1 d1 × d2 d2 , where d1 d1 and d2 d2 are diagonals of a rhombus

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 501 Mark

Assertion (A): The area of a rectangle of length a and breadth b is ab
Reasons (R): The area of a rectangle (A) is the product of its length ‘a’ and width or breadth ‘b’.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 511 Mark

Assertion (A): The area of a parallelogram of base b and altitude h is bh
Reasons (R): The formula to calculate the area of a parallelogram is given as Area of parallelogram = base × height square units.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 521 Mark

Assertion (A): The area of a circle of radius r is r × r
Reasons (R): Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, $\text{A} = \pi\text{r}^{2}$

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 531 Mark

Assertion (A): If the height of a cuboid becomes zero, it will take the shape of a square
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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 541 Mark

Assertion (A): A glass in the form of a right circular cylinder is half full of water. Its base radius is 3cm and height is 8cm. The volume of water is 36cm³
Reasons (R): Volume is calculated by multiplying length x width x height.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 551 Mark

Assertion (A): 8 persons can stay in a cubical room. Each person requires 27m³ of air. The side of the cube is 6cm.
Reasons (R): The surface area of a cube can be represented as 6s², since a cube has six sides and the surface area of each side is represented by its length.

A
Both A and R are true and R is the correct explanation of A.
✓
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.

Answer

Correct option: B.

Both A and R are true but R is not the correct explanation of A.

B

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MCQ 561 Mark

Assertion (A): 1m³ = 1000000cm³
Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 571 Mark

Assertion (A): 1mm³ = 0.001cm³
Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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MCQ 581 Mark

Assertion (A): 1cm³ = 100mm³
Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 591 Mark

Assertion (A): 1cm³ = 0.01m³
Reasons (R): Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

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
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

D

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MCQ 601 Mark

Assertion (A): The volume of a cylinder of base radius r and height h is $\pi\text{r}^{2}{\text{h}}$
Reasons (R): The volume of cylinder is the amount of space in it. It can be obtained by multiplying its base area by its height.

✓
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.

Answer

Correct option: A.

Both A and R are true and R is the correct explanation of A.

A

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