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

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Assertion (A) & Reason (B) MCQ

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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 measure of each exterior angle of a regular polygon of $9$ sides is $40.$
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is $180^\circ ,$ it follows that the sum of the interior angles of a quadrilateral is $360^\circ .$

✓
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 $(A) :$ Two adjacent sides of a rectangle are equal. The name of the quadrilateral is square
Reason $(R) :$ a square is a quadrilateral with four right angles

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 $A.$

Both $A$ and $R$ are true but $R$ is not 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 $(A) :$ All the angles of a rectangle are equal.
Reason $(R) :$ The opposite sides of a rectangle are not equal.

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

Answer

Correct option: C.

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

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

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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): Triangle have $1$ diagonal.
Reason (R): A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry

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): The measures of each of the four angles of a quadrilateral are equal.
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)

✓
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 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 angle sum of a convex polygon with number of sides $7$ is $900$
Reason (R): A convex polygon is a polygon that is the boundary of a convex set.

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 $A.$

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): Equilateral triangle is a regular polygon with $3$ sides.
Reason (R): a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same 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 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 $(A) :$ The number of vertices of a triangle is $2$
Reason $(R) :$ A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

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 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 four angles of a pentagon are $40^\circ , 75^\circ , 125^\circ $ and $135^\circ $. The measure of the fifth angle is $155.$
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is $180^\circ ,$ it follows that the sum of the interior angles of a quadrilateral is $360^\circ .$

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 angle sum of a convex polygon with number of sides $n$ is $(n - 2) 180^\circ $
Reason (R): A convex polygon is a polygon that is the boundary of a convex set.

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 $A.$

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 number of sides of a triangle is $3$
Reason (R): A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

✓
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. $R$ead both the statements carefully and choose the correct alternative from the following:
$A$ssertion ($A$): The diagonals of a square bisect each other at right angles
$R$eason ($R$): The diagonals of a square do not divide the whole square into four equal parts.

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

Answer

Correct option: C.

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

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

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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 $(A):$ Regular octagon is a regular polygon of $6$ sides.
Reason $(R):$ a polygon that is equiangular $($all angles are equal in measure$)$ and equilateral $($all sides have the same 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 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 sum of the measures of the exterior angles of any polygon is $360.$
Reason (R): The formula for calculating the size of an exterior angle in a regular polygon is: $360$

✓
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): All the parallelograms are rectangles
Reason (R): All the rhombuses are parallelograms.

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 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 angle sum of a convex polygon with number of sides $10$ is $1440.$
Reason (R): A convex polygon is a polygon that is the boundary of a convex set.

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 $A$.

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

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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 $(A) :$ Diagonals does a regular hexagon have are $9$
Reason $(R) :$ a hexagon can be defined as a polygon with six sides. The two $-$ dimensional shape has $6$ sides, $6$ vertices and $6$ angles

✓
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 sum of the measures of all the three angles of a triangle is $180.$
Reason (R): A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry

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 $A.$

Both $A$ and $R$ are true but $R$ is not 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): Each parallelogram is a square
Reason (R): Each square is a parallelogram

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 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): All the squares are rhombuses
Reason (R): All the parallelograms are rhombuses

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

Answer

Correct option: C.

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

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

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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): The measures of the three angles of a quadrilateral are $65^\circ , 75^\circ $ and $85^\circ .$ The measure of the fourth angle is 135.
Reason (R): The formula for calculating the size of an exterior angle in a regular polygon is: $360.$

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 $A$.

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

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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 number of vertices of a quadrilateral is $4$
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)

✓
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 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): Diagonals does a quadrilateral have are $2.$
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)

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 $A$.

Both $A$ and $R$ are true but $R$ is not 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 number of sides of a quadrilateral is $4$
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)

✓
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): Out of the three equal angles of a quadrilateral, each measures $70^\circ .$ The measure of the fourth angle is $150.$
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)

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 $A$.

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

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MCQ 261 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 sum of the internal angles of a polygon is $10$ right angles. Then the number of sides is $7$
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is $180^\circ ,$ it follows that the sum of the interior angles of a quadrilateral is $360^\circ .$

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 $A$.

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

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MCQ 271 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 measures of two angles of a quadrilateral are $110^\circ $ and $100″.$ The remaining two angles are equal. The measure of each of the remaining two angles is $45.$
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is $180^\circ ,$ it follows that the sum of the interior angles of a quadrilateral is $360^\circ $

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 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 angle sum of a convex polygon with number of sides $8$ is $1080.$
Reason (R): A convex polygon is a polygon that is the boundary of a convex set.

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 $A$.

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

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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 sum of the measures of all the four angles of a quadrilateral is $360.$
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)

✓
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): One angle of a parallelogram is a right angle. The name of the quadrilateral is rectangle.
Reason (R): a rectangle is a quadrilateral with four right angles

✓
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 311 Mark

Assertion (A): Two adjacent sides of a rectangle are equal. The name of the quadrilateral is square
Reason (R): a square is a quadrilateral with four right angles.

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 321 Mark

Assertion (A): Triangle have 1 diagonal.
Reason (R): A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

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 331 Mark

Assertion (A): The sum of the measures of all the three angles of a triangle is 180.

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 341 Mark

Assertion (A): The sum of the internal angles of a polygon is 10 right angles. Then the number of sides is 7
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.

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 351 Mark

Assertion (A): The number of vertices of a triangle is 2
Reason (R): A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

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 361 Mark

Assertion (A): The number of vertices of a quadrilateral is 4
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices).

✓
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 371 Mark

Assertion (A): The number of sides of a quadrilateral is 4
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices).

✓
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 measures of two angles of a quadrilateral are 110° and 100″. The remaining two angles are equal. The measure of each of the remaining two angles is 45.
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.

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 391 Mark

Assertion (A): The measures of each of the four angles of a quadrilateral are equal.
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices).

✓
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 401 Mark

Assertion (A): The measure of each exterior angle of a regular polygon of 9 sides is 40.
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.

✓
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 four angles of a pentagon are 40°, 75°, 125° and 135°. The measure of the fifth angle is 155.
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.

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 421 Mark

Assertion (A): The diagonals of a square bisect each other at right angles
Reason (R): The diagonals of a square do not divide the whole square into four equal parts.

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.
✓
A is true but R is false.
D
A is false but R is true.

Answer

Correct option: C.

A is true but R is false.

C

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MCQ 431 Mark

Assertion (A): The angle sum of a convex polygon with number of sides n is (n - 2) 180°
Reason (R): A convex polygon is a polygon that is the boundary of a convex set.

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 441 Mark

Assertion (A): The angle sum of a convex polygon with number of sides 8 is 1080.
Reason (R): A convex polygon is a polygon that is the boundary of a convex set.

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 451 Mark

Assertion (A): Regular octagon is a regular polygon of 6 sides.
Reason (R): a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same 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 461 Mark

Assertion (A): Out of the three equal angles of a quadrilateral, each measures 70°. The measure of the fourth angle is 150.
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices).

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 471 Mark

Assertion (A): One angle of a parallelogram is a right angle. The name of the quadrilateral is rectangle.
Reason (R): a rectangle is a quadrilateral with four right angles.

✓
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): Equilateral triangle is a regular polygon with 3 sides.
Reason (R): a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same 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 491 Mark

Assertion (A): Each parallelogram is a square
Reason (R): Each square is a parallelogram.

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 501 Mark

Assertion (A): Diagonals does a regular hexagon have are 9
Reason (R): a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles.

✓
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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