150 + Mcqs in Area and Perimeter in Aptitude Page 2 McqOptions

51.	The diagonals of a squares is 4 2 cm. The diagonal of another square whose area is double that of the first square is
A.	8 cm
B.	8 2 cm
C.	4 2 cm
D.	6 cm
Answer» B. 8 2 cm

Discussion

52.	The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm.
A.	18 cm
B.	22.5 cm
C.	24 cm
D.	27 cm
Answer» D. 27 cm

Discussion

53.	A triangle with three equal sides has its area equal to 3 3 sq cm . Find its perimeter .
A.	6 3 cm
B.	2 3 cm
C.	5 3 cm
D.	7 3 cm
Answer» B. 2 3 cm

Discussion

54.	One side of a parallelogram is 14 cm. Its distance from the opposite side is 16 cm. The area of the parallelogram is ?
A.	112 sq. cm
B.	224 sq. cm
C.	56 sq. cm
D.	210 sq. cm
Answer» C. 56 sq. cm

Discussion

55.	The lengths of three line segments (in cm) are given in each of the four cases. Which one of the following cases is not suitable to be the three sides of a triangle?
A.	2, 3, 4
B.	2, 3, 5
C.	2, 4, 5
D.	3, 4, 5
Answer» C. 2, 4, 5

Discussion

56.	The length of the diagonal of a rhombus is 80% of the length of the other diagonal, Then the area of the rhombus is how many times the square of the length of the longer diagonal ?
A.	4/5
B.	2/5
C.	3/4
D.	1/4
Answer» C. 3/4

Discussion

57.	If the circumference of a circle is the 352 meters, then its area in m square is ?
A.	9856
B.	8956
C.	6589
D.	5986
Answer» B. 8956

Discussion

58.	In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are ?
A.	24 cm, 48 cm
B.	12 cm, 24 cm
C.	6 2 cm, 12 2 cm
D.	6 cm, 12 cm
Answer» C. 6 2 cm, 12 2 cm

Discussion

59.	A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5 . The smaller side of the rectangle is ?
A.	30 cm
B.	60 cm
C.	72 cm
D.	132 cm
Answer» C. 72 cm

Discussion

60.	A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is ?
A.	24 meters
B.	40 meters
C.	28 meters
D.	14 meters
Answer» D. 14 meters

Discussion

61.	If a regular hexagon is inscribed in a circle of radius, r then its perimeter ?
A.	3r
B.	6r
C.	9r
D.	12r
Answer» D. 12r

Discussion

62.	If the circumference of a circle is increased by 50%, then its area will be increased by ?
A.	50%
B.	100%
C.	125%
D.	225%
Answer» D. 225%

Discussion

63.	The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is ?
A.	99 meters
B.	198 meters
C.	63 meters
D.	136 meters
Answer» C. 63 meters

Discussion

64.	Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is ?
A.	x/2
B.	x
C.	2x
D.	4x
Answer» D. 4x

Discussion

65.	If the diagonal of a square is double, how does the area of the square change ?
A.	Becomes four fold
B.	Becomes three fold
C.	Becomes two fold
D.	None of the above
Answer» B. Becomes three fold

Discussion

66.	A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is ?
A.	21 meters
B.	10.5 meters
C.	7 meters
D.	5.25 meters
Answer» C. 7 meters

Discussion

67.	A circle and a square have same area. The ratio of the side of the square and the radius of the circle is ?
A.	: 1
B.	1 :
C.	1 :
D.	: 1
Answer» C. 1 :

Discussion

68.	In a triangle ABC, BC = 5 cm AC = 12 cm and AB = 13 cm. The length of a altitude drawn from B on AC is ?
A.	4 cm
B.	5 cm
C.	6 cm
D.	7 cm
Answer» C. 6 cm

Discussion

69.	The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m
A.	Rs. 688.80
B.	Rs. 735
C.	Rs. 730.80
D.	Rs. 722.50
Answer» C. Rs. 730.80

Discussion

70.	If the radius of a circle be reduced by 50%. Its area is reduced by ?
A.	31.5%
B.	39.5%
C.	34.5%
D.	65.5%
Answer» D. 65.5%

Discussion

71.	The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is ?
A.	31.5 %
B.	39.5 %
C.	34.5 %
D.	65.5 %
Answer» C. 34.5 %

Discussion

72.	The difference between the circumference and the radius of a circle is 37 cm. The area of a circle is ?
A.	148 sq. cm
B.	111 sq. cm
C.	154 sq. cm
D.	259 sq. cm
Answer» D. 259 sq. cm

Discussion

73.	The area of a circular field is 13.86 hectares . The cost of fencing it at the rate of 20 paisa per meter is ?
A.	Rs. 277.20
B.	Rs. 264
C.	Rs. 324
D.	Rs. 198
Answer» C. Rs. 324

Discussion

74.	The area of circle is 38.5 sq. cm. Its circumference is ?
A.	6.20 cm
B.	11 cm
C.	22 cm
D.	121 cm
Answer» D. 121 cm

Discussion

75.	The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is ?
A.	35 sq.cms
B.	17.5 sq.cms
C.	8. 75 sq.cms
D.	55 sq.cms
Answer» D. 55 sq.cms

Discussion

76.	A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is ?
A.	15 m
B.	16 m
C.	17 m
D.	20 m
Answer» D. 20 m

Discussion

77.	A rectangular carpet has an area of 60 sq. m. Its diagonal and longer side together equal 5 times the shorter side, The length of the carpet is ?
A.	5 m
B.	12 m
C.	13 m
D.	14.5 m
Answer» C. 13 m

Discussion

78.	The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is ?
A.	70 m
B.	56 m
C.	77 m
D.	84 m
Answer» E.

Discussion

79.	The ratio of the radii of two circle is 1:3 the radio of their areas is?
A.	1:3
B.	1:6
C.	1:9
D.	None of these
Answer» D. None of these

Discussion

80.	The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii ?
A.	5 meter
B.	7 meter
C.	8 meter
D.	44 meter
Answer» C. 8 meter

Discussion

81.	The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle ?
A.	44 cm
B.	46 cm
C.	48 cm
D.	49 cm
Answer» E.

Discussion

82.	A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is ?
A.	Rs. 500
B.	Rs. 600
C.	Rs. 700
D.	Rs. 800
Answer» D. Rs. 800

Discussion

83.	Of the square fields the area of the one is 1 hectare, while the another one is broader by 1% the difference is area is ?
A.	101 sq. metres
B.	201 sq. metres
C.	100 sq. metres
D.	200 sq. metres
Answer» C. 100 sq. metres

Discussion

84.	If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is ?
A.	9:1
B.	3:1
C.	3:4
D.	1:3
Answer» C. 3:4

Discussion

85.	The area of a rectangle is thrice that of square. Length of the rectangle is 40 cm and the breadth of the rectangle is ( 3 / 2 ) times that of the side of the square. The side of the square in cm is ?
A.	15
B.	20
C.	30
D.	60
Answer» C. 30

Discussion

86.	Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is ?
A.	14 meters
B.	12 meters
C.	6 meters
D.	3.5 meters
Answer» D. 3.5 meters

Discussion

87.	Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is ?
A.	3.5 meters
B.	5.4 meters
C.	6.77 meters
D.	7.7 meters
Answer» B. 5.4 meters

Discussion

88.	A rectangle has 15 cm as its length and 150 cm
A.	50 cm
B.	60 cm
C.	70 cm
D.	80 cm
Answer» C. 70 cm

Discussion

89.	The length of a rectangle room is 4 meters . if it can be partitioned into two equal square rooms . what is the length of each partition in meters ?
A.	1
B.	2
C.	4
D.	Data inadequate
Answer» C. 4

Discussion

90.	The length and breadth of a square are increased by 40% and 30% respectively. The area of a resulting rectangle exceeds the area of the square by ?
A.	42%
B.	62%
C.	82%
D.	None of these
Answer» D. None of these

Discussion

91.	A room 5.44 m x 3.75 m is to be paved with square tiles. the least number of tiles required to cover the floor is ?
A.	162
B.	176
C.	184
D.	192
Answer» C. 184

Discussion

92.	The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is ?
A.	4 : 3
B.	3 : 4
C.	9 : 16
D.	3: 2
Answer» D. 3: 2

Discussion

93.	A polygon has 44 diagonals the number of its sides is ?
A.	9
B.	10
C.	11
D.	12
Answer» D. 12

Discussion

94.	A square, a circle and equilateral triangle have same perimeter.
A.	Only I
B.	Only II
C.	Both I and II
D.	Neither I nor II
Answer» B. Only II

Discussion

95.	The length of a rectangle is twice its breadth. If its length is decreased half of the 10 cm and the breadth is increased by half of the 10 cm cm, the area of the rectangle is increased by 5 sq cm, more than 70 sq cm. Find the length of the rectangle.
A.	30 cm
B.	40 cm
C.	21 cm
D.	45 cm
E.	None of the above
Answer» C. 21 cm

Discussion

96.	The area of rectangle is 1.8 times the area of a square. The length of the rectangle is 5 times the breadth. The side of the square is 20 cm. What is the perimeter of the rectangle ?
A.	145 cm
B.	144 cm
C.	133 cm
D.	135 cm
E.	None of the above
Answer» C. 133 cm

Discussion

97.	How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material ?
A.	8
B.	6
C.	5
D.	2
Answer» D. 2

Discussion

98.	One diagonal of a rhombus is 60% of the other diagonal. Then, area of the rhombus is how many times the square of the length of the larger diagonal?
A.	1/5
B.	2/5
C.	6/7
D.	3/10
E.	None of the above
Answer» E. None of the above

Discussion

99.	A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?
A.	100 meters
B.	66.66 meters
C.	33 meters
D.	(100/ 3 ) meters
Answer» B. 66.66 meters

Discussion

100.	The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length, the perimeters of the field is ?
A.	260 m
B.	280 m
C.	360 m
D.	none of these
Answer» D. none of these

Discussion

Explore topic-wise MCQs in Aptitude.

The diagonals of a squares is 4 2 cm. The diagonal of another square whose area is double that of the first square is

The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm.

A triangle with three equal sides has its area equal to 3 3 sq cm . Find its perimeter .

One side of a parallelogram is 14 cm. Its distance from the opposite side is 16 cm. The area of the parallelogram is ?

The lengths of three line segments (in cm) are given in each of the four cases. Which one of the following cases is not suitable to be the three sides of a triangle?

The length of the diagonal of a rhombus is 80% of the length of the other diagonal, Then the area of the rhombus is how many times the square of the length of the longer diagonal ?

If the circumference of a circle is the 352 meters, then its area in m square is ?

In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are ?

A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5 . The smaller side of the rectangle is ?

A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is ?

If a regular hexagon is inscribed in a circle of radius, r then its perimeter ?

If the circumference of a circle is increased by 50%, then its area will be increased by ?

The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is ?

Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is ?

If the diagonal of a square is double, how does the area of the square change ?

A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is ?

A circle and a square have same area. The ratio of the side of the square and the radius of the circle is ?

In a triangle ABC, BC = 5 cm AC = 12 cm and AB = 13 cm. The length of a altitude drawn from B on AC is ?

The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m

If the radius of a circle be reduced by 50%. Its area is reduced by ?

The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is ?

The difference between the circumference and the radius of a circle is 37 cm. The area of a circle is ?

The area of a circular field is 13.86 hectares . The cost of fencing it at the rate of 20 paisa per meter is ?

The area of circle is 38.5 sq. cm. Its circumference is ?

The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is ?

A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is ?

A rectangular carpet has an area of 60 sq. m. Its diagonal and longer side together equal 5 times the shorter side, The length of the carpet is ?

The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is ?

The ratio of the radii of two circle is 1:3 the radio of their areas is?

The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii ?

The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle ?

A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is ?

Of the square fields the area of the one is 1 hectare, while the another one is broader by 1% the difference is area is ?

If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is ?

The area of a rectangle is thrice that of square. Length of the rectangle is 40 cm and the breadth of the rectangle is ( 3 / 2 ) times that of the side of the square. The side of the square in cm is ?

Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is ?

Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is ?

A rectangle has 15 cm as its length and 150 cm

The length of a rectangle room is 4 meters . if it can be partitioned into two equal square rooms . what is the length of each partition in meters ?

The length and breadth of a square are increased by 40% and 30% respectively. The area of a resulting rectangle exceeds the area of the square by ?

A room 5.44 m x 3.75 m is to be paved with square tiles. the least number of tiles required to cover the floor is ?

The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is ?

A polygon has 44 diagonals the number of its sides is ?

A square, a circle and equilateral triangle have same perimeter.

The length of a rectangle is twice its breadth. If its length is decreased half of the 10 cm and the breadth is increased by half of the 10 cm cm, the area of the rectangle is increased by 5 sq cm, more than 70 sq cm. Find the length of the rectangle.

The area of rectangle is 1.8 times the area of a square. The length of the rectangle is 5 times the breadth. The side of the square is 20 cm. What is the perimeter of the rectangle ?

How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material ?

One diagonal of a rhombus is 60% of the other diagonal. Then, area of the rhombus is how many times the square of the length of the larger diagonal?

A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length, the perimeters of the field is ?