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 opposite angles of a parallelogram are equal.
Reason (R): The opposite sides of a parallelogram are equal.
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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): Decagon have $6$ sides.
Reason (R): a decagon is a ten-sided polygon or $10-$gon.
- 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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 number of sides in a regular polygon is $15,$ then measure of each exterior angle is $24^\circ.$
Reason (R): The sum of all the exterior 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
AnswerCorrect 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 $A$
View full question & answer→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): 360`is the sum of the measures of angles of a convex quadrilaterals
Reason (R): We can divide any quadrilateral into two triangles
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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): Minimum possible interior angle in a regular polygon is $90^\circ.$
Reason (R): The formula for calculating the sum of interior angles is $( n - 2 ) \times 180^\circ$ where is the number of sides
- 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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): 5 measurements can determine a quadrilateral uniquely
Reason (R): A quadrilateral can be constructed uniquely if the lengths of its three sides and two diagonals are given.
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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): A heptagon have $14$ diagonals.
Reason (R): a heptagon or septagon is a seven-sided polygon or $7-$gon.
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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): To construct a parallelogram we need to know two adjacent sides and one angle
Reason (R): Parallelogram has its parallel sides equal. Also, if one angle is known to us, then we can determine the other angle since the two angles are supplementary.
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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 angle sum of all interior angles of a convex polygon of sides 7 is $900^\circ.$
Reason (R): The interior angles of a quadrilateral add up to $360^\circ . $ This value is calculated from the formula given by the angle sum property of polygons
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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): All the angles of a regular polygon are of equal measure.
Reason (R): The sum of exterior angles of a polygon 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
AnswerCorrect 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 $A$
View full question & answer→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): $6$ measurements are required to construct a quadrilateral, uniquely.
Reason (R): a quadrilateral has $10$ elements $(4$ sides, $4$ angles and $2$ diagonals$)$ or measurements.
- 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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 diagonals of a square are equal to each other.
Reason (R): Opposite sides of a square are both parallel and 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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): The value of $x$ in the following figure is $108^\circ$.
Reason (R): The interior angles of a quadrilateral add up to $360^\circ .$ This value is calculated from the formula given by the angle sum property of polygons. - ✓
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
AnswerCorrect 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 $A$
View full question & answer→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 $(A)$ : If two diagonals and three sides are given, then any polygon can be constructed
Reason $(R)$ : a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain
- 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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 $(A)$ : It is a convex polygon.
Reason $(R)$ : a convex polygon is a polygon that is the boundary of a convex set - ✓
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
AnswerCorrect 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 $A$
View full question & answer→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 $(A)$ : A parallelogram each of whose angles measures $90^\circ $ is trapezium.
Reason $(R)$ : A trapezium is a quadrilateral having two parallel sides of unequal length and the other two sides are non $-$ parallel
- 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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 $(A)$ : Polygons that have any portions of their diagonals in their exteriors are called concave polygons.
Reason $(R)$ : A Concave polygon is a polygon that has at least one interior angle greater than $180$ degrees
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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 value of $(x)$ in the following figure is $50`$.
Reason $(R)$ : The interior angles of a quadrilateral add up to $360^\circ $. This value is calculated from the formula given by the angle sum property of polygons. - 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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 $(A)$ : To construct a quadrilateral, we need to know two diagonals and $3$ sides.
Reason $(R)$ : a quadrilateral has $10$ elements $(4$ sides, $4$ angles and $2$ diagonals$)$ or measurements.
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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 diagonals of a rhombus bisect each other at reflex angle.
Reason $(R)$ : a rhombus is a quadrilateral whose four sides all 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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 $(A)$ : Maximum number of right angles in a right angled triangle is $1.$
Reason $(R)$ : a concave 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 $A$
- 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
AnswerCorrect option: C. $A$ is true but $R$ is false
$A$ is true but $R$ is false
View full question & answer→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 $(A)$ : Hexagon have $9$ diagonals.
Reason $(R)$ : a hexagon is a six $-$ sided polygon or $6-$ gon.
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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 $(A)$ : If two diagonals are given, then we can construct a rhombus.
Reason $(R)$ : The two diagonals of a rhombus bisect each other at $90$ degrees.
- ✓
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
AnswerCorrect 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 $A$
View full question & answer→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 $(A)$ : A polygon with minimum number of sides is square.
Reason $(R)$ : A square also fits the definition of a rectangle a rhombus.
- 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
AnswerCorrect option: D. $A$ is false but $R$ is true
$A$ is false but $R$ is true
View full question & answer→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 diagonals of a square bisect each other at $90^\circ.$
Reason $(R)$ : Square have $4$ 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
AnswerCorrect 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 $A$
View full question & answer→