924 + Mcqs in Area Page 17 McqOptions

801.	Angles of the triangle are in the ratio of 1:2:3. Choose the correct triangle for the given ratio._x005F_x000D_
A.	Equilateral
B.	Isosceles
C.	Right angle
D.	Obtuse angled
Answer» D. Obtuse angled

Discussion

802.	An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?
A.	Rs. 4082.40
B.	Rs. 1024.21
C.	Rs. 2810.6
D.	Rs. 3214
Answer» B. Rs. 1024.21

Discussion

803.	An octahedron has 6 vertices. How many edges does it have?
A.	8
B.	12
C.	6
D.	10
Answer» C. 6

Discussion

804.	An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
A.	0.0404
B.	0.0504
C.	0.0604
D.	0.0704
Answer» B. 0.0504

Discussion

805.	An error 2% in excess is made while measuring the side of a square. The percentage ofÂ error in the calculated area of the square is:
A.	1.04
B.	2.04
C.	3.04
D.	4.04
Answer» E.

Discussion

806.	An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is
A.	2âˆš3 cm
B.	3âˆš2 cm
C.	4âˆš3 cm
D.	âˆš3 cm
Answer» B. 3âˆš2 cm

Discussion

807.	An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?
A.	0.043055555555556
B.	0.04375
C.	0.085416666666667
D.	3^(1/2) :2
Answer» E.

Discussion

808.	An arc length of 16Ï€ units subtends an angle of 240 degrees. Find the radius 9in units) of the circle._x005F_x000D_ Â _x005F_x000D_
A.	6
B.	12
C.	24
D.	36
Answer» C. 24

Discussion

809.	An angle is smaller than its supplementary angle by 70Â°. What is the measure of the angle?
A.	125Â°
B.	55Â°
C.	80Â°
D.	10Â°
Answer» C. 80Â°

Discussion

810.	An angle is smaller than its supplementary angle by 50Â°. What is the measure of the angle?
A.	115Â°
B.	60Â°
C.	30Â°
D.	65Â°
Answer» E.

Discussion

811.	An angle is 60 deg more than one fifth of its complement. Find the smaller angle in degrees.
A.	65 deg
B.	35 deg
C.	25 deg
D.	45 deg
Answer» D. 45 deg

Discussion

812.	An angle is 30 deg more than one half of its complement. Find difference between the greater and the smaller angles.
A.	10 deg
B.	20 deg
C.	30 deg
D.	25 deg
Answer» B. 20 deg

Discussion

813.	An angle is (2/3)rd of its supplementary angle. What is the measure of the angle?
A.	108Â°
B.	72Â°
C.	54Â°
D.	36Â°
Answer» C. 54Â°

Discussion

814.	All sides are congruent in a _____.
A.	Rectangle
B.	Parallelogram
C.	Rhombus
D.	Kite
Answer» D. Kite

Discussion

815.	ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?
A.	18âˆš3
B.	24âˆš3
C.	36âˆš3
D.	42âˆš3
Answer» D. 42âˆš3

Discussion

816.	ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of âˆ BEC?
A.	15
B.	30
C.	25
D.	10
Answer» B. 30

Discussion

817.	ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?
A.	Ï€ (rxr)
B.	2r
C.	(r + 2)
D.	Ï€ (rxr)/2
Answer» C. (r + 2)

Discussion

818.	ABCD is a kite where mâˆ A is 90Â° and mâˆ C is 60Â°. If length of AB is 6 cm, what is the length of diagonal AC?
A.	6(âˆš2+âˆš3) cm
B.	2(âˆš3+âˆš6) cm
C.	2(âˆš2+âˆš3) cm
D.	3(âˆš2+âˆš6) cm
Answer» E.

Discussion

819.	ABC is an equilateral triangle of side 6 cm. If a circle of radius 1 cm is moving inside and along the sides of the triangle, then the locus of the centre of the circle is an equilateral triangle of side is
A.	5 cm
B.	(6 - 2âˆš3) cm
C.	4 cm
D.	(3 + âˆš3) cm
Answer» C. 4 cm

Discussion

820.	AB is the chord of circle of length 6 cm. From the center of the circle a perpendicular is drawn which intersects the chord at D and distance between centre and chord is 4 cm. find the area (in cm2) of the circle)_x005F_x000D_
A.	55_x005F_x000D_
B.	61.5_x005F_x000D_
C.	70_x005F_x000D_
D.	78.5
Answer» E.

Discussion

821.	AB, EF and CD are the parallel lines as shown in the adjoining figureÂ below. The dimensions of the sides GE = 6 cm, GC = 12 cm and DC = 16 cm. Calculate the length of EF._x005F_x000D_ Â _x005F_x000D_ _x005F_x000D_
A.	4
B.	8
C.	10
D.	12
Answer» C. 10

Discussion

822.	ABC is a triangle. AB = 5 cm, AC = âˆš41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?
A.	12
B.	6
C.	10
D.	20
Answer» C. 10

Discussion

823.	AB and AC are the two tangents to a circle whose radius is 6 cm. If âˆ BAC = 60 deg, then what is the value (in cm) of âˆš(AB2Â +Â AC2)?
A.	6âˆš6
B.	4âˆš6
C.	9âˆš3
D.	8âˆš3
Answer» B. 4âˆš6

Discussion

824.	A wire is in the shape of a rectangle. Its length is 42.7m and breadth is 21.8m. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?
A.	16.125
B.	32.25
C.	11.35
D.	22.7
Answer» C. 11.35

Discussion

825.	A wooden crate 1.8 m long, 1.5 m wide and 1.2 m in height is filled with iron cubes that are 6 cm wide.Â Find the maximum number of iron cubes that can be fitted in the crate._x005F_x000D_
A.	13500
B.	15000
C.	14500
D.	14000
Answer» C. 14500

Discussion

826.	A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be
A.	7744
B.	8844
C.	5544
D.	4444
Answer» B. 8844

Discussion

827.	A wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course 30m length &16m bredth is shown. Find the the area of the course
A.	480
B.	560
C.	180
D.	460
Answer» B. 560

Discussion

828.	A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.
A.	14
B.	13
C.	12
D.	11
Answer» B. 13

Discussion

829.	A well of diameter 3 m and depth 14 m is dug. The earth, taken out of it, has been evenly spread all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of embankment?
A.	7/8 m
B.	9/8 m
C.	3/8 m
D.	1/8 m
Answer» C. 3/8 m

Discussion

830.	A wheel covers a distance of 1,100 cm in one round. The diameter of the wheelis:_x005F_x000D_
A.	350 cm
B.	175 cm
C.	200 cm
D.	150 cm
Answer» B. 175 cm

Discussion

831.	A typist uses a sheet measuring 20cm by 30cm lengthwise.If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is
A.	0.64
B.	0.74
C.	0.84
D.	0.94
Answer» B. 0.74

Discussion

832.	A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?
A.	60
B.	50
C.	80
D.	70
Answer» D. 70

Discussion

833.	A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
A.	4
B.	6
C.	8
D.	None of the above
Answer» C. 8

Discussion

834.	A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is
A.	200m
B.	300m
C.	400m
D.	100m
Answer» B. 300m

Discussion

835.	A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth.Â The percentage of decrease in area is:
A.	0.18
B.	0.28
C.	0.38
D.	0.48
Answer» C. 0.38

Discussion

836.	A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68m/min. The area of the field is?
A.	50
B.	60
C.	70
D.	80
Answer» C. 70

Discussion

837.	A tent is to be built in the form of a cylinder of radius 10 m surmounted by a cone of the same radius. If the height of the cylindrical part is 5 m and slant height of the conical part is 15 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take Ï€ = 22/7)
A.	4714.43 sq m
B.	3772.14 sq m
C.	6783.86 sq m
D.	2451.42 sq m
Answer» E.

Discussion

838.	A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is
A.	Rs. 258
B.	Rs. 358
C.	Rs. 458
D.	Rs. 558
Answer» E.

Discussion

839.	A steel rod of length 20 3/26 is cut out from a rod of length 56 1/5. What then is the remaining length of the rod?
A.	36.023076923077
B.	36.053846153846
C.	36.007692307692
D.	36.084615384615
Answer» E.

Discussion

840.	A square has a perimeter equal to 24 units. If the length of each side of the square is reduced by 2 units, then find the area (in sq units) of the square._x005F_x000D_
A.	4
B.	9
C.	16
D.	25
Answer» D. 25

Discussion

841.	A square park having a side 22 m has two roads each 2 m wide running in the middle of it and parallel to its length and breadth. What will be the cost of gravelling the path at the rate of Rs.100/sq.m?
A.	Rs. 88
B.	Rs. 8800
C.	Rs. 84
D.	Rs. 8400
Answer» E.

Discussion

842.	A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all?_x005F_x000D_
A.	400
B.	404
C.	396
D.	408
Answer» D. 408

Discussion

843.	A square and rectangle have equal areas. If their perimeters are p and q respectively. Then
A.	p
B.	p>q
C.	p=q
D.	none of these
Answer» B. p>q

Discussion

844.	A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tubeÂ is
A.	1 cm
B.	9 cm
C.	0.6 cm
D.	1.5 cm
Answer» B. 9 cm

Discussion

845.	A solid right circular cone of radius 4 cm and height 7 cm is put inside a cylindrical vessel of radius 5 cm and height 8 cm. How much water in cubic cmÂ will be required to fill the cylindrical vessel completely?
A.	1022.48 cubic cms
B.	1533.72 cubic cms
C.	511.24 cubic cms
D.	255.62 cubic cms
Answer» D. 255.62 cubic cms

Discussion

846.	A solid metallic hemisphere with radius r is melted and cast into a solid right circular cone with theÂ radius of the base = r. What is the ratio of their curved surface areas?_x005F_x000D_
A.	5/âˆš2
B.	2/âˆš5
C.	44230
D.	44232
Answer» C. 44230

Discussion

847.	A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What isÂ the radius (in cm) of its base?
A.	1033
B.	1433
C.	733
D.	2133
Answer» C. 733

Discussion

848.	A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take Ï€ = 22/7)
A.	1166.4 metres
B.	1458 metres
C.	777.6 metres
D.	972 metres
Answer» E.

Discussion

849.	A sector of 120 degrees, cut out from a circle, has an area of 66/7 sq cm. Find the radius of the circle.
A.	1cm
B.	2cm
C.	3cm
D.	4cm
Answer» D. 4cm

Discussion

850.	A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45Â°. What is the area of each slice of Pizza(in square inches)?
A.	16.25
B.	19.25
C.	18.25
D.	17.25
Answer» C. 18.25

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

Angles of the triangle are in the ratio of 1:2:3. Choose the correct triangle for the given ratio._x005F_x000D_

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

An octahedron has 6 vertices. How many edges does it have?

An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

An error 2% in excess is made while measuring the side of a square. The percentage ofÂ error in the calculated area of the square is:

An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is

An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?

An arc length of 16Ï€ units subtends an angle of 240 degrees. Find the radius 9in units) of the circle._x005F_x000D_ Â _x005F_x000D_

An angle is smaller than its supplementary angle by 70Â°. What is the measure of the angle?

An angle is smaller than its supplementary angle by 50Â°. What is the measure of the angle?

An angle is 60 deg more than one fifth of its complement. Find the smaller angle in degrees.

An angle is 30 deg more than one half of its complement. Find difference between the greater and the smaller angles.

An angle is (2/3)rd of its supplementary angle. What is the measure of the angle?

All sides are congruent in a _____.

ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?

ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of âˆ BEC?

ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?

ABCD is a kite where mâˆ A is 90Â° and mâˆ C is 60Â°. If length of AB is 6 cm, what is the length of diagonal AC?

ABC is an equilateral triangle of side 6 cm. If a circle of radius 1 cm is moving inside and along the sides of the triangle, then the locus of the centre of the circle is an equilateral triangle of side is

AB is the chord of circle of length 6 cm. From the center of the circle a perpendicular is drawn which intersects the chord at D and distance between centre and chord is 4 cm. find the area (in cm2) of the circle)_x005F_x000D_

AB, EF and CD are the parallel lines as shown in the adjoining figureÂ below. The dimensions of the sides GE = 6 cm, GC = 12 cm and DC = 16 cm. Calculate the length of EF._x005F_x000D_ Â _x005F_x000D_ _x005F_x000D_

ABC is a triangle. AB = 5 cm, AC = âˆš41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

AB and AC are the two tangents to a circle whose radius is 6 cm. If âˆ BAC = 60 deg, then what is the value (in cm) of âˆš(AB2Â +Â AC2)?

A wire is in the shape of a rectangle. Its length is 42.7m and breadth is 21.8m. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?

A wooden crate 1.8 m long, 1.5 m wide and 1.2 m in height is filled with iron cubes that are 6 cm wide.Â Find the maximum number of iron cubes that can be fitted in the crate._x005F_x000D_

A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be

A wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course 30m length &16m bredth is shown. Find the the area of the course

A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.

A well of diameter 3 m and depth 14 m is dug. The earth, taken out of it, has been evenly spread all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of embankment?

A wheel covers a distance of 1,100 cm in one round. The diameter of the wheelis:_x005F_x000D_

A typist uses a sheet measuring 20cm by 30cm lengthwise.If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is

A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth.Â The percentage of decrease in area is:

A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68m/min. The area of the field is?

A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is

A steel rod of length 20 3/26 is cut out from a rod of length 56 1/5. What then is the remaining length of the rod?

A square has a perimeter equal to 24 units. If the length of each side of the square is reduced by 2 units, then find the area (in sq units) of the square._x005F_x000D_

A square park having a side 22 m has two roads each 2 m wide running in the middle of it and parallel to its length and breadth. What will be the cost of gravelling the path at the rate of Rs.100/sq.m?

A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all?_x005F_x000D_

A square and rectangle have equal areas. If their perimeters are p and q respectively. Then

A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tubeÂ is

A solid right circular cone of radius 4 cm and height 7 cm is put inside a cylindrical vessel of radius 5 cm and height 8 cm. How much water in cubic cmÂ will be required to fill the cylindrical vessel completely?

A solid metallic hemisphere with radius r is melted and cast into a solid right circular cone with theÂ radius of the base = r. What is the ratio of their curved surface areas?_x005F_x000D_

A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What isÂ the radius (in cm) of its base?

A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take Ï€ = 22/7)

A sector of 120 degrees, cut out from a circle, has an area of 66/7 sq cm. Find the radius of the circle.

A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45Â°. What is the area of each slice of Pizza(in square inches)?