1770 + Mcqs in Mathematics Page 14 McqOptions

651.	Find the area of shaded Region.
A.	\[4\frac{1}{15}c{{m}^{2}}\]
B.	\[5\frac{5}{14}c{{m}^{2}}\]
C.	\[16\frac{2}{8}c{{m}^{2}}\]
D.	\[15\,\,c{{m}^{2}}\]
Answer» C. \[16\frac{2}{8}c{{m}^{2}}\]

Discussion

652.	Four square tables with side \[1.2\,\,m\] each are paced end to end to forms one big rectangular table. What is the perimeter of this rectangular table.
A.	\[4.8\,\,m\]
B.	\[19.2\,\,m\]
C.	\[12\,\,m\]
D.	\[9.6\,\,m\]
Answer» E.

Discussion

653.	Find the length of a wooden strip (in meters) required to frame a painting of length 54 cm and width 32 cm.
A.	\[17.2\,\,m\]
B.	\[1.72\,\,m\]
C.	\[8.86\,\,m\]
D.	\[172\,\,m\]
Answer» C. \[8.86\,\,m\]

Discussion

654.	A square piece of paper is folded as shown in the figure. If the area of each shaded triangles is 225 cm2, then the perimeter of the piece of the paper when it is unfolded, is
A.	100cm
B.	120cm
C.	125cm
D.	60cm
Answer» C. 125cm

Discussion

655.	The area of a triangle with each side equals 5.1 metres and the third side 4.6 metres is
A.	10.47sq. m
B.	2.86 sq. m
C.	10.45sq. m
D.	None of these
Answer» B. 2.86 sq. m

Discussion

656.	On the basis of following information answer the questions given below: A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard left is
A.	\[714\,c{{m}^{2}}\]
B.	\[900\,c{{m}^{2}}\]
C.	\[300\,c{{m}^{2}}\]
D.	\[186c{{m}^{2}}\]
Answer» E.

Discussion

657.	On the basis of following information answer the questions given below: A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard cutout is
A.	\[324\,c{{m}^{2}}\]
B.	\[400\,c{{m}^{2}}\]
C.	\[714\,c{{m}^{2}}\]
D.	\[314\,c{{m}^{2}}\]
Answer» D. \[314\,c{{m}^{2}}\]

Discussion

658.	Given figure shows a semicircle in a quadrant. The perimeter of the shaded part is \[\left( \text{use}\,\pi =\frac{22}{7} \right)\]
A.	44cm
B.	88cm
C.	116cm
D.	72cm
Answer» D. 72cm

Discussion

659.	The area of the shaded face of the cuboid is\[32\text{ }c{{m}^{2}}\]. Its height is 4 cm. What is its volume?
A.	\[28\,c{{m}^{3}}\]
B.	\[36\,c{{m}^{3}}\]
C.	\[128\,c{{m}^{3}}\]
D.	\[136\,c{{m}^{3}}\]
Answer» D. \[136\,c{{m}^{3}}\]

Discussion

660.	The ratio of the area of X to the area of Y is 5 : 8. If the area of Y is \[160\text{ }c{{m}^{2}}\], then total area of X and Y is
A.	\[260\,c{{m}^{2}}\]
B.	\[100\,c{{m}^{2}}\]
C.	\[200\,c{{m}^{2}}\]
D.	\[206\,c{{m}^{2}}\]
Answer» B. \[100\,c{{m}^{2}}\]

Discussion

661.	Two wires of similar lengths are used to form a rectangle and an equilateral triangle. The length of each side of the triangle is
A.	6cm
B.	12cm
C.	24cm
D.	36cm
Answer» C. 24cm

Discussion

662.	The figure below is made up of a square and 2 rectangles. Study the figure carefully and answer questions 25 and 26. The sum of the areas of the two rectangles is bigger than the area of the square by ______ \[c{{m}^{2}}\].
A.	10
B.	14
C.	32
D.	36
Answer» B. 14

Discussion

663.	The figure below is made up of a square and 2 rectangles. Study the figure carefully and answer questions 25 and 26. The perimeter of the figure is _______cm.
A.	52
B.	58
C.	62
D.	66
Answer» B. 58

Discussion

664.	Sketch of a plot is given. Its dimensions are mentioned. Find the cost of levelling the plot at Rs.. 12 per \[{{m}^{2}}\].
A.	Rs. 1,760
B.	Rs. 480
C.	Rs. 552
D.	Rs. 912
Answer» D. Rs. 912

Discussion

665.	The length of a rectangle is increased by 60% By what percentage would be the width have to be decreased to maintain the same area?
A.	\[37\frac{1}{2}%\]
B.	60%
C.	75%
D.	120%
Answer» B. 60%

Discussion

666.	Find the area of shaded region if the perimeter of the square is 56 cm.
A.	196 sq.cm
B.	98 sq.cm
C.	154 sq.cm
D.	42 sq.cm
Answer» E.

Discussion

667.	Consider the following statements (i) A rectangle of length 9 cm and width 4 cm has greater area than a square of side 6 cm (ii) Rectangle and square, both have the same area.
A.	(i) is true and (ii) is false.
B.	(ii) is true and (i) is false.
C.	Both (i) and (ii) are true.
D.	Both (i) and (ii) are false.
Answer» C. Both (i) and (ii) are true.

Discussion

668.	Read the following statements and choose the correct answer. (i) If the circumference of a circle increases from 4p to 8p then new area = 4 x original area. (ii) When the circumference of a toy balloon is increased from 20 cm to 25 cm, its radius (in cm) is increased by \[\frac{5}{2\pi }\].
A.	(i) is true while (ii) is false.
B.	(i) is false while (ii) is true.
C.	Both (i) and (ii) are true.
D.	Both (i) and (ii) are false.
Answer» C. Both (i) and (ii) are true.

Discussion

669.	DIRECTIONS: The questions in this segment consists of two statements, one labelled as "assertion A" and the other labelled as "reason R ". You are to examine these two statements carefully and decide if the assertion A and reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: If a square has a length of 4 cm, then its perimeter is 8 cm. Reason (R): Perimeter of a square is given by the summation of all of its 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.
D.	A is false but R is true.
Answer» E.

Discussion

670.	DIRECTIONS: Passage-4 Read the passage(s) given below and answer the questions that follow. The perimeter of a large triangle ABC is 24 cm. Find area of ADEF. D, E and F are mid points of AB, AC and BC respectively.
A.	\[2\sqrt{3}\,c{{m}^{2}}\]
B.	\[2\sqrt{4}\,c{{m}^{2}}\]
C.	\[3c{{m}^{2}}\]
D.	\[3\sqrt{3}\,c{{m}^{2}}\]
Answer» C. \[3c{{m}^{2}}\]

Discussion

671.	DIRECTIONS: Passage-3 Read the passage(s) given below and answer the questions that follow. In the given diagram, the shaded region is a large circle with a small circle cut out of it. The large circle has radius 30 cm and centre H. HK is the diameter of the small circle. Find the area of shaded region.
A.	\[2121.74\,c{{m}^{2}}\]
B.	\[2011.14\,c{{m}^{2}}\]
C.	\[200.4\,c{{m}^{2}}\]
D.	\[1904.44\,c{{m}^{2}}\]
Answer» B. \[2011.14\,c{{m}^{2}}\]

Discussion

672.	What change in percent is made in the area of a rectangle by decreasing its length and increasing its breadth by 5%?
A.	2.5% increase
B.	0.25% increase
C.	0.25% decrease
D.	2.5% decrease
Answer» D. 2.5% decrease

Discussion

673.	DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. If Mr. Verma wants to construct a lawn from the portion of living room then the perimeter of lawn is
A.	12m
B.	5m
C.	12.5m
D.	5.12m
Answer» D. 5.12m

Discussion

674.	DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. Area of bedroom is
A.	\[20\,{{m}^{2}}\]
B.	\[99\,{{m}^{2}}\]
C.	\[88\,{{m}^{2}}\]
D.	\[72{{m}^{2}}\]
Answer» C. \[88\,{{m}^{2}}\]

Discussion

675.	DIRECTIONS: Passage-1 Read the passage(s) given below and answer the questions that follow. Read the information given below. A circular disc of area \[{{A}_{1}}\] is given with its radius as the diameter for a circular disc of area \[{{A}_{2}}\] is cut out of it. The area of the remaining disc is denoted by \[{{A}_{3}}\] then (i) \[{{A}_{1}}{{A}_{3}}16A_{2}^{2}\] (iii) \[{{A}_{1}}{{A}_{3}}=16A_{2}^{2}\] Which of the following is correct?
A.	Only (i)
B.	Only (ii)
C.	Only (iii)
D.	None of these
Answer» B. Only (ii)

Discussion

676.	DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. Perimeter of floor of wash room is
A.	4m
B.	3m
C.	12m
D.	7m
Answer» D. 7m

Discussion

677.	What is the distance around a rectangular pond if the area of the pond is 80 \[{{m}^{2}}\] and its breadth is 5m?
A.	16m
B.	32m
C.	42m
D.	75m
Answer» D. 75m

Discussion

678.	Venu jogged round a rectangular field 4 times. If the rectangular field was 135 m long and 78 m wide, how far did Venu jog?
A.	426 m
B.	852 m
C.	1278 m
D.	1704 m
Answer» E.

Discussion

679.	From a square sheet of paper a circle of maximum possible size is cut. The area of the remaining portion is
A.	Equal to \[\frac{1}{4}\] the area of the circle.
B.	Greater than \[\frac{1}{4}\] the area of the circle
C.	Less than \[\frac{1}{4}\] the area of the circle
D.	Equal to \[\frac{1}{4}\] the area of the square.
Answer» D. Equal to \[\frac{1}{4}\] the area of the square.

Discussion

680.	Let A be the area of a square inscribed in a circle of a radius r and let B be the area of a hexagon inscribed in the same circle. Then the ratio \[\frac{B}{A}\] equals
A.	\[2\sqrt{3}\]
B.	\[\frac{3\sqrt{3}}{4}\]
C.	\[\frac{2\sqrt{3}}{4}\]
D.	None of these
Answer» C. \[\frac{2\sqrt{3}}{4}\]

Discussion

681.	The length of diagonal of a square whose area is 16900\[{{m}^{2}}\] is
A.	130m
B.	\[130\sqrt{2}\,m\]
C.	169m
D.	144m
Answer» C. 169m

Discussion

682.	The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200%, respectively. Then, the increase in the volume of the cuboid will be:
A.	5 times
B.	6 times
C.	12 times
D.	17 times
Answer» E.

Discussion

683.	The volume of a cube is numerically equal to the sum of the lengths of its edges. What is its total surface area in square units?
A.	64
B.	144
C.	36
D.	72
Answer» E.

Discussion

684.	Three cubes of a metal are of edges 3 cm, 4 cm and 5 cm. These are melted together and from the melted material, another cube is formed. The edge of this cube is
A.	8 cm
B.	10 cm
C.	9cm
D.	6cm
Answer» E.

Discussion

685.	The perimeter of a rectangle is 36 cm. The measure of its length and breadth are natural. How many such rectangles are possible?
A.	2
B.	8
C.	9
D.	18
Answer» D. 18

Discussion

686.	A man walked 20 m to cross a rectangular field diagonally If the length of the field is 16 m, the breadth of the field is
A.	4 m
B.	16m
C.	12m
D.	cannot be determined
Answer» D. cannot be determined

Discussion

687.	A rectangular carpet has an area of 120 \[{{m}^{2}}\]and a perimeter of 46 m. The length of its diagonal is
A.	15m
B.	16m
C.	17m
D.	20m
Answer» D. 20m

Discussion

688.	The length and breadth of a rectangular plot are 900 m and 700 m respectively. If three rounds offence is fixed around the field at the cost of Rs. 8 per meter, the total amount spent is
A.	Rs. 768
B.	Rs. 7680
C.	Rs. 76, 800
D.	Rs. 768, 000
Answer» D. Rs. 768, 000

Discussion

689.	Find the area of shaded portion if radii of inner and outer circle are 210 mm and 224 mm respectively.
A.	19096 sq. mm
B.	47040 sq. mm
C.	13860 sq. mm
D.	21624 sq. mm
Answer» B. 47040 sq. mm

Discussion

690.	Find the area of the shaded portion in the figure.
A.	\[12\,c{{m}^{2}}\]
B.	\[20\,c{{m}^{2}}\]
C.	\[36\,c{{m}^{2}}\]
D.	\[48\,c{{m}^{2}}\]
Answer» B. \[20\,c{{m}^{2}}\]

Discussion

691.	What is the total area of the 2 identical squares shown below?
A.	\[32\,c{{m}^{2}}\]
B.	\[64\,c{{m}^{2}}\]
C.	\[128\,c{{m}^{2}}\]
D.	\[135\,c{{m}^{2}}\]
Answer» D. \[135\,c{{m}^{2}}\]

Discussion

692.	Find the area of the figure shown below.
A.	9 sq. cm
B.	10 sq. cm
C.	11 sq. cm
D.	15 sq. cm
Answer» D. 15 sq. cm

Discussion

693.	Area of the shaded figure is
A.	2400 sq m
B.	48 sq m
C.	50 sq m
D.	98 sq m
Answer» E.

Discussion

694.	Area of the shaded region is
A.	96 sq. m
B.	15 sq. m
C.	81 sq. m
D.	111 sq. m
Answer» D. 111 sq. m

Discussion

695.	Observe the figure carefully and answer the question. In the given figure, O and P are the centres of two equal three-quarter circles. The length of OP is 14 cm. The perimeter of the figure is \[\left( \text{use}\,=\pi =\frac{22}{7} \right)\]
A.	50
B.	94
C.	49
D.	95
Answer» C. 49

Discussion

696.	Read the diagram given below carefully and answer the questions that follow If the shaded portion is cut out from the whole figure then the area of remaining figure is
A.	\[164\,c{{m}^{2}}\]
B.	\[168\,c{{m}^{2}}\]
C.	\[124\,c{{m}^{2}}\]
D.	\[142\,c{{m}^{2}}\]
Answer» D. \[142\,c{{m}^{2}}\]

Discussion

697.	Read the diagram given below carefully and answer the questions that follow Area of ABEF is
A.	\[26\,c{{m}^{2}}\]
B.	\[14\,c{{m}^{2}}\]
C.	\[12\,c{{m}^{2}}\]
D.	\[168\,c{{m}^{2}}\]
Answer» E.

Discussion

698.	Read the diagram given below carefully and answer the questions that follow Area of shaded regions
A.	\[641\,c{{m}^{2}}\]
B.	\[164\,c{{m}^{2}}\]
C.	\[224\,c{{m}^{2}}\]
D.	\[160\,c{{m}^{2}}\]
Answer» C. \[224\,c{{m}^{2}}\]

Discussion

699.	Consider the following statements. (i) The face of a solid is two - dimensional in shape. (ii) Volume of the solid is measured in cubic units. (iii) Perimeter of a triangle with sides a, b, c is 3a + 3b + 3c. Read the above three statements carefully and choose the correct option.
A.	(i) and (ii) are true but (iii) is false.
B.	(ii) and (iii) are true but (i) is false.
C.	All three (i), (ii) and (iii) are true.
D.	All three (i), (ii) and (iii) are false.
Answer» B. (ii) and (iii) are true but (i) is false.

Discussion

700.	Choose the correct definition from the following. (i) The amount of space enclosed by the bounding surface is called the volume of the solid. (ii) In a cuboid, if all the dimensions are not equal then the solid is called a cube. (iii) A rectangle is a closed figure having four sides, in which all sides are equal and each angle measures\[60{}^\circ \].
A.	Only (i)
B.	Only (i) and (iii)
C.	Only (ii) and (iii)
D.	Only (ii)
Answer» B. Only (i) and (iii)

Discussion

Explore topic-wise MCQs in 6th Class.

Find the area of shaded Region.

Four square tables with side \[1.2\,\,m\] each are paced end to end to forms one big rectangular table. What is the perimeter of this rectangular table.

Find the length of a wooden strip (in meters) required to frame a painting of length 54 cm and width 32 cm.

A square piece of paper is folded as shown in the figure. If the area of each shaded triangles is 225 cm2, then the perimeter of the piece of the paper when it is unfolded, is

The area of a triangle with each side equals 5.1 metres and the third side 4.6 metres is

On the basis of following information answer the questions given below: A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard left is

On the basis of following information answer the questions given below: A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard cutout is

Given figure shows a semicircle in a quadrant. The perimeter of the shaded part is \[\left( \text{use}\,\pi =\frac{22}{7} \right)\]

The area of the shaded face of the cuboid is\[32\text{ }c{{m}^{2}}\]. Its height is 4 cm. What is its volume?

The ratio of the area of X to the area of Y is 5 : 8. If the area of Y is \[160\text{ }c{{m}^{2}}\], then total area of X and Y is

Two wires of similar lengths are used to form a rectangle and an equilateral triangle. The length of each side of the triangle is

The figure below is made up of a square and 2 rectangles. Study the figure carefully and answer questions 25 and 26. The sum of the areas of the two rectangles is bigger than the area of the square by ______ \[c{{m}^{2}}\].

The figure below is made up of a square and 2 rectangles. Study the figure carefully and answer questions 25 and 26. The perimeter of the figure is _______cm.

Sketch of a plot is given. Its dimensions are mentioned. Find the cost of levelling the plot at Rs.. 12 per \[{{m}^{2}}\].

The length of a rectangle is increased by 60% By what percentage would be the width have to be decreased to maintain the same area?

Find the area of shaded region if the perimeter of the square is 56 cm.

Consider the following statements (i) A rectangle of length 9 cm and width 4 cm has greater area than a square of side 6 cm (ii) Rectangle and square, both have the same area.

Read the following statements and choose the correct answer. (i) If the circumference of a circle increases from 4p to 8p then new area = 4 x original area. (ii) When the circumference of a toy balloon is increased from 20 cm to 25 cm, its radius (in cm) is increased by \[\frac{5}{2\pi }\].

DIRECTIONS: Passage-4 Read the passage(s) given below and answer the questions that follow. The perimeter of a large triangle ABC is 24 cm. Find area of ADEF. D, E and F are mid points of AB, AC and BC respectively.

What change in percent is made in the area of a rectangle by decreasing its length and increasing its breadth by 5%?

DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. If Mr. Verma wants to construct a lawn from the portion of living room then the perimeter of lawn is

DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. Area of bedroom is

DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. Perimeter of floor of wash room is

What is the distance around a rectangular pond if the area of the pond is 80 \[{{m}^{2}}\] and its breadth is 5m?

Venu jogged round a rectangular field 4 times. If the rectangular field was 135 m long and 78 m wide, how far did Venu jog?

From a square sheet of paper a circle of maximum possible size is cut. The area of the remaining portion is

Let A be the area of a square inscribed in a circle of a radius r and let B be the area of a hexagon inscribed in the same circle. Then the ratio \[\frac{B}{A}\] equals

The length of diagonal of a square whose area is 16900\[{{m}^{2}}\] is

The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200%, respectively. Then, the increase in the volume of the cuboid will be:

The volume of a cube is numerically equal to the sum of the lengths of its edges. What is its total surface area in square units?

Three cubes of a metal are of edges 3 cm, 4 cm and 5 cm. These are melted together and from the melted material, another cube is formed. The edge of this cube is

The perimeter of a rectangle is 36 cm. The measure of its length and breadth are natural. How many such rectangles are possible?

A man walked 20 m to cross a rectangular field diagonally If the length of the field is 16 m, the breadth of the field is

A rectangular carpet has an area of 120 \[{{m}^{2}}\]and a perimeter of 46 m. The length of its diagonal is

The length and breadth of a rectangular plot are 900 m and 700 m respectively. If three rounds offence is fixed around the field at the cost of Rs. 8 per meter, the total amount spent is

Find the area of shaded portion if radii of inner and outer circle are 210 mm and 224 mm respectively.

Find the area of the shaded portion in the figure.

What is the total area of the 2 identical squares shown below?

Find the area of the figure shown below.

Area of the shaded figure is

Area of the shaded region is

Observe the figure carefully and answer the question. In the given figure, O and P are the centres of two equal three-quarter circles. The length of OP is 14 cm. The perimeter of the figure is \[\left( \text{use}\,=\pi =\frac{22}{7} \right)\]

Read the diagram given below carefully and answer the questions that follow If the shaded portion is cut out from the whole figure then the area of remaining figure is

Read the diagram given below carefully and answer the questions that follow Area of ABEF is

Read the diagram given below carefully and answer the questions that follow Area of shaded regions

Consider the following statements. (i) The face of a solid is two - dimensional in shape. (ii) Volume of the solid is measured in cubic units. (iii) Perimeter of a triangle with sides a, b, c is 3a + 3b + 3c. Read the above three statements carefully and choose the correct option.