MCQ Questions on Mensuration 2D for Competitive Exams Page-2 section-1

11.
A string of length 24 cm is bent first into a square and then into a right-angled triangle by keeping one side of the square fixed as its base. Then the area of triangle equals to:

A. 24 cm²

B. 60 cm²

C. 40 cm²

D. 28 cm²

Answer & Solution Discuss in Board Save for Later

12.
In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an equilateral triangle. What is the value (in degrees) of ∠EBZ ?

A. 102

B. 98

C. 78

D. 64

Answer & Solution Discuss in Board Save for Later

13.
Three circles of diameter 10 cm each are bound together by a rubber band as shown in the figure.

The length of the rubber band (in cm) if it is stretched is

A. 30

B. 30 + 10π

C. 10π

D. 60 + 20π

Answer & Solution Discuss in Board Save for Later

14.
Parallel sides of a trapezium are 26 cm and 40 cm and the area is 792 cm². What is the value of distance between parallel sides?

A. 24

B. 48

C. 12

D. 36

Answer & Solution Discuss in Board Save for Later

15.
ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If DP = 13, CP = 10 and BP = 6, then what is the value of AP?

A. $$\sqrt {105} $$

B. $$\sqrt {133} $$

C. $$12$$

D. $$10$$

Answer & Solution Discuss in Board Save for Later

16.
A hall 25 metres long and 15 metres broad is surrounded by a varandah of uniform width of 3.5 metres. The cost of flooring the varandah, at Rs. 27.50 per square metre is:

A. Rs. 9149.50

B. Rs. 8146.50

C. Rs. 9047.50

D. Rs. 4186.50

Answer & Solution Discuss in Board Save for Later

17.
In the given figure, ABCD is a square, EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 cm², then what is the area (in cm²) of square ABCD ?

A. 98

B. 196

C. 122.5

D. 171.5

Answer & Solution Discuss in Board Save for Later

18.
A rectangular park is 120 m long and 104 m wide. A 1-m wide path runs along the boundary of the park, remaining completely inside the park area. Thus, the outside edges of the path run along the boundary wall of the park. The inside edges of the path are marked with a white line of negligible thickness. If it costs Rs. 2.50 to mark each metre with the white line, then how much would it cost (in Rs.) to fully mark the inside edges of the path?

A. 1100

B. 1120

C. 1080

D. 1090

Answer & Solution Discuss in Board Save for Later

19.
The sides of a triangle are in the ratio $$\frac{1}{3}:\frac{1}{5}:\frac{1}{6}.$$ If the perimeter is 147 cm, then the length of the smallest side is . . . . . . . .

A. 12 cm

B. 25 cm

C. 30 cm

D. 35 cm

Answer & Solution Discuss in Board Save for Later

20.
What is the area (in sq cm) of a regular hexagon of side 14 cm?

A. 147√3

B. 441√3

C. 196√3

D. 294√3

Answer & Solution Discuss in Board Save for Later

MCQ Questions on Mensuration 2D for Competitive Exams

11. A string of length 24 cm is bent first into a square and then into a right-angled triangle by keeping one side of the square fixed as its base. Then the area of triangle equals to:

Answer & Solution

12. In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an equilateral triangle. What is the value (in degrees) of ∠EBZ ?

Answer & Solution

13. Three circles of diameter 10 cm each are bound together by a rubber band as shown in the figure. The length of the rubber band (in cm) if it is stretched is

Answer & Solution

14. Parallel sides of a trapezium are 26 cm and 40 cm and the area is 792 cm2. What is the value of distance between parallel sides?

Answer & Solution

15. ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If DP = 13, CP = 10 and BP = 6, then what is the value of AP?

Answer & Solution

16. A hall 25 metres long and 15 metres broad is surrounded by a varandah of uniform width of 3.5 metres. The cost of flooring the varandah, at Rs. 27.50 per square metre is:

Answer & Solution

17. In the given figure, ABCD is a square, EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 cm2, then what is the area (in cm2) of square ABCD ?

Answer & Solution

Answer & Solution

19. The sides of a triangle are in the ratio $$\frac{1}{3}:\frac{1}{5}:\frac{1}{6}.$$ If the perimeter is 147 cm, then the length of the smallest side is . . . . . . . .

Answer & Solution

20. What is the area (in sq cm) of a regular hexagon of side 14 cm?

Answer & Solution

11.
A string of length 24 cm is bent first into a square and then into a right-angled triangle by keeping one side of the square fixed as its base. Then the area of triangle equals to:

12.
In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an equilateral triangle. What is the value (in degrees) of ∠EBZ ?

13.
Three circles of diameter 10 cm each are bound together by a rubber band as shown in the figure.

The length of the rubber band (in cm) if it is stretched is

14.
Parallel sides of a trapezium are 26 cm and 40 cm and the area is 792 cm². What is the value of distance between parallel sides?

15.
ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If DP = 13, CP = 10 and BP = 6, then what is the value of AP?

16.
A hall 25 metres long and 15 metres broad is surrounded by a varandah of uniform width of 3.5 metres. The cost of flooring the varandah, at Rs. 27.50 per square metre is:

17.
In the given figure, ABCD is a square, EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 cm², then what is the area (in cm²) of square ABCD ?

19.
The sides of a triangle are in the ratio $$\frac{1}{3}:\frac{1}{5}:\frac{1}{6}.$$ If the perimeter is 147 cm, then the length of the smallest side is . . . . . . . .

20.
What is the area (in sq cm) of a regular hexagon of side 14 cm?