MCQ Questions on Mensuration 2D for Competitive Exams

1.
A₁ and A₂ are two regular polygons. The sum of all the interior angles of A₁ is 1080°. Each interior angle of A₂ exceeds its exterior angle by 132°. The sum of the number of sides A₁ and A₂ is:

A. 22

B. 24

C. 23

D. 21

Answer & Solution Discuss in Board Save for Later

2.
The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is $$128\frac{4}{7}$$ degrees. The sum of the number of sides of polygons A and B is:

A. 17

B. 18

C. 19

D. 16

Answer & Solution Discuss in Board Save for Later

3.
If the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm²) of the square?

A. $$\frac{{1296}}{{49}}$$

B. $$25$$

C. $$\frac{{1225}}{{36}}$$

D. $$\frac{{1225}}{{64}}$$

Answer & Solution Discuss in Board Save for Later

4.
In the given figure, four identical semicircles are drawn in quadrant. XA = 7 cm. What is the area (in cm²) of shaded region?

A. 70

B. 140

C. 77

D. 84

Answer & Solution Discuss in Board Save for Later

5.
The diameter of the front wheel of an engine is 2x cm and that of rear wheel is 2y cm to cover the same distance, find the number of times the rear wheel will revolve when the front wheel revolves 'n' times,

A. $$\frac{n}{{xy}}{\text{ times}}$$

B. $$\frac{{yn}}{x}{\text{ times}}$$

C. $$\frac{{nx}}{y}{\text{ times}}$$

D. $$\frac{{xy}}{n}{\text{ times}}$$

Answer & Solution Discuss in Board Save for Later

6.
In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in cm²) of the circle?

A. 385 - 221√2

B. 308 - 154√2

C. 154 - 77√2

D. 462 - 308√2

Answer & Solution Discuss in Board Save for Later

7.
If the length of each side of an equilateral triangle is increased by 2 units, the area is found to be increased by 3 + √3 square unit. The length of each side of the triangle is

A. √3 units

B. 3 units

C. 3√3 units

D. 3√2 units

Answer & Solution Discuss in Board Save for Later

8.
The perimeter of a rectangle and an equilateral triangle are same. Also one of the sides of the rectangle is equal to the side of the triangle. The ratio of the area of the rectangle and the triangle is

A. √3 : 1

B. 1 : √3

C. 2 : √3

D. 4 : √3

Answer & Solution Discuss in Board Save for Later

9.
A parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Its area is

A. $$500\sqrt {15} {\text{ }}{{\text{m}}^2}$$

B. $$600\sqrt {15} {\text{ }}{{\text{m}}^2}$$

C. $$400\sqrt {15} {\text{ }}{{\text{m}}^2}$$

D. $$450\sqrt {15} {\text{ }}{{\text{m}}^2}$$

Answer & Solution Discuss in Board Save for Later

10.
The area of a regular hexagon of side 2√3 cm is:

A. 18√3 cm²

B. 12√3 cm²

C. 36√3 cm²

D. 27√3 cm²

Answer & Solution Discuss in Board Save for Later

MCQ Questions on Mensuration 2D for Competitive Exams

1. A1 and A2 are two regular polygons. The sum of all the interior angles of A1 is 1080°. Each interior angle of A2 exceeds its exterior angle by 132°. The sum of the number of sides A1 and A2 is:

Answer & Solution

2. The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is $$128\frac{4}{7}$$ degrees. The sum of the number of sides of polygons A and B is:

Answer & Solution

3. If the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm2) of the square?

Answer & Solution

4. In the given figure, four identical semicircles are drawn in quadrant. XA = 7 cm. What is the area (in cm2) of shaded region?

Answer & Solution

5. The diameter of the front wheel of an engine is 2x cm and that of rear wheel is 2y cm to cover the same distance, find the number of times the rear wheel will revolve when the front wheel revolves 'n' times,

Answer & Solution

6. In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in cm2) of the circle?

Answer & Solution

7. If the length of each side of an equilateral triangle is increased by 2 units, the area is found to be increased by 3 + √3 square unit. The length of each side of the triangle is

Answer & Solution

8. The perimeter of a rectangle and an equilateral triangle are same. Also one of the sides of the rectangle is equal to the side of the triangle. The ratio of the area of the rectangle and the triangle is

Answer & Solution

9. A parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Its area is

Answer & Solution

10. The area of a regular hexagon of side 2√3 cm is:

Answer & Solution

1.
A₁ and A₂ are two regular polygons. The sum of all the interior angles of A₁ is 1080°. Each interior angle of A₂ exceeds its exterior angle by 132°. The sum of the number of sides A₁ and A₂ is:

2.
The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is $$128\frac{4}{7}$$ degrees. The sum of the number of sides of polygons A and B is:

3.
If the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm²) of the square?

4.
In the given figure, four identical semicircles are drawn in quadrant. XA = 7 cm. What is the area (in cm²) of shaded region?

5.
The diameter of the front wheel of an engine is 2x cm and that of rear wheel is 2y cm to cover the same distance, find the number of times the rear wheel will revolve when the front wheel revolves 'n' times,

6.
In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in cm²) of the circle?

7.
If the length of each side of an equilateral triangle is increased by 2 units, the area is found to be increased by 3 + √3 square unit. The length of each side of the triangle is

8.
The perimeter of a rectangle and an equilateral triangle are same. Also one of the sides of the rectangle is equal to the side of the triangle. The ratio of the area of the rectangle and the triangle is

9.
A parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Its area is

10.
The area of a regular hexagon of side 2√3 cm is: