285 + Mcqs in Area Page 3 McqOptions

101.	A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ?
A.	56
B.	58
C.	60
D.	62
Answer» B. 58

Discussion

102.	The area of a trapezium is 4000 sq cm and its parallel sides are 45 cm and 35 cm respectively. Then what is the height of the trapezium ?
A.	90 cm
B.	100 cm
C.	110 cm
D.	120 cm
Answer» C. 110 cm

Discussion

103.	The diagonal of a square is 8 m. What is the area of the square ?
A.	16 sq m
B.	32 sq m
C.	64 sq m
D.	121 sq m
Answer» C. 64 sq m

Discussion

104.	What is the length of a square I Its perimeter is 160 cm. H Its area is 1600 sq cm.
A.	If the question can be answered using statement (I) alone but not statement (II) alone.
B.	If the question can be answered using statement (II) alone but not statement (I) alone
C.	If the question can be answered using both the statements together but cant be answered using either statement alone.
D.	If the question can be answered using either statement alone.
Answer» E.

Discussion

105.	What is the area of a rectangle ? I Its length is 5 m. II. Its perimeter is 18 m.
A.	If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
B.	If the data in statement II alone are sufficient to answer the questions, while the data in statement I alone are not sufficient to answer the question.
C.	If the data in both statements I and II together are necessary to answer the question.
D.	If the data either in statement I alone or in statement II alone are sufficient to answer the question.
Answer» D. If the data either in statement I alone or in statement II alone are sufficient to answer the question.

Discussion

106.	2 metres board pathway is constructed around a rectangular plot on the inside . Area of the plot is 96 sq.m. Rate of construction is Rs. 50 per square mere . Find the total cost of construction?
A.	Rs. 1200
B.	Rs. 2400
C.	Rs. 3600
D.	Data inadequate
Answer» E.

Discussion

107.	The length of a rectangle is halved , while its breadth is tripled , what is the percentage change in area ?
A.	40%
B.	50%
C.	60%
D.	70%
Answer» C. 60%

Discussion

108.	The ratio between the perimeter and the breadth of a rectangle is 5 : 1 . If the area of the rectangle is 216 sq.cm. . what is the length of the rectangle ?
A.	18 cm
B.	19 cm
C.	20 cm
D.	21 cm
Answer» B. 19 cm

Discussion

109.	The sides of a rectangular field are in he ratio 3 : 4 . If the area of the field is 7500 sq. m. the cost of fencing the field @ 25 paise per metres is :
A.	Rs. 86.50
B.	Rs. 87.50
C.	Rs. 88.50
D.	Rs. 89.50
Answer» C. Rs. 88.50

Discussion

110.	A large field of 750 hectares is divided into two parts . The difference of he areas of the two parts is one -fifth of the average of the two areas. What is the area of the smaller part in hectares ?
A.	290
B.	305
C.	315
D.	330
Answer» D. 330

Discussion

111.	What is the area of a square ? (I) The perimeter is 16 cm (II) The side of the square is 4 cm.
A.	1 cm
B.	2 cm
C.	3 cm
D.	4 cm
Answer» E.

Discussion

112.	If the area of a rectangle is equal to the area of a right angled triangle, what is the length of, rectangle ? I The base of the triangle is 10 m. II The height of the triangle is 15 m.
A.	If statement (I) alone is sufficient to answer, while statement (II) alone is not sufficient.
B.	If statement (II) alone is sufficient to answer, while statement (I) alone is not sufficient.
C.	If either statement (I) or (II) is sufficient.
D.	If both statements(l) and (II) even together are not sufficient.
Answer» E.

Discussion

113.	What is the perimeter of a rectangle ? I. Its area is 40 sq ft. II. Its length is 10 ft.
A.	If statement (I) alone is sufficient to answer, while statement (II) alone is not sufficient.
B.	If statement (II) alone is sufficient to answer, while statement (I) alone is not sufficient.
C.	If either statement (I) or (II) is sufficient.
D.	If both statements (I) and (II) together are necessary.
Answer» E.

Discussion

114.	The area of a rectangle is 5 1/3 Square metre and its length is 3 times its breadth. What is the perimeter of the rectangle ?
A.	8 2/3 metre
B.	10 2/3 metre
C.	13 2/3 metre
D.	15 2/3 metre
Answer» C. 13 2/3 metre

Discussion

115.	A 60 cm wide path is to be made around a circular garden having a diameter of 12 metres. What is the area of the path ?
A.	24 m²
B.	26 m²
C.	28 m²
D.	30 m²
Answer» B. 26 m²

Discussion

116.	The radius of a sphere is increased by 10%. What will be the percentage increase in its surface area ?
A.	21 %
B.	22 %
C.	23 %
D.	24 %
Answer» B. 22 %

Discussion

117.	Two cubes each of edge 8 centimetre are joined to form a single cuboid. What is the surface area of the cuboid ?
A.	620 cm²
B.	640 cm²
C.	660 cm²
D.	680 cm²
Answer» C. 660 cm²

Discussion

118.	What is the area of a square ? I The diagonal is √2 times of the side of the square. II The ratio of the sides is given. III The perimeter of the square is 56 cm.
A.	I & II both
B.	II only
C.	III only
D.	I only
Answer» D. I only

Discussion

119.	What is the area of a circle whose circumference is 1047.2 metres ?
A.	87231.76 sq. metre
B.	86231.76 sq. metre
C.	85231.76 sq. metre
D.	84231.76 sq. metre
Answer» B. 86231.76 sq. metre

Discussion

120.	A path all around the inside of a rectangular park 35 m by 25 m occupies 275 sq m. What is the width of the path ?
A.	2.4 metre
B.	2.5 metre
C.	2.6 metre
D.	2.7 metre
Answer» C. 2.6 metre

Discussion

121.	A path all around the inside of a rectangular park 60 m by 45 m occupies 2000 sq m. What is the width of the path ?
A.	12 m
B.	12.5 m
C.	13 m
D.	13.5 m
Answer» C. 13 m

Discussion

122.	A square room has a verandah of uniform width of 3m around it. The area of the verandah is 288 sq m. Find the cost of flooring the room if the cost of flooring per square metre is Rs. 15.
A.	Rs. 4280
B.	Rs. 4310
C.	Rs. 4320
D.	Rs. 4340
Answer» D. Rs. 4340

Discussion

123.	If length of rectangle is increased by 16 m & breadth is decreased by 5 m , then area of rectangle remains unchanged, and if length is decreased by 8 m and breadth is increased by 5 m, the area still
A.	460 sq m
B.	470 sq m
C.	480 sq m
D.	490 sq m
Answer» D. 490 sq m

Discussion

124.	If the length and the breadth of a rectangle is increased by 25% and 44% respectively, by what per cent does the area of that rectangle increase ?
A.	10 %
B.	30 %
C.	50 %
D.	80 %
Answer» E.

Discussion

125.	The radius of a circle is increased by 40%. By what percentage will its area increase ?
A.	96%
B.	97%
C.	98%
D.	99%
Answer» B. 97%

Discussion

126.	A side of a right-angle triangle is four times the second side. If third side, the hypotenuse of the triangle, is A/272 cm, what would its area be ?
A.	28 cm²
B.	30 cm²
C.	32 cm²
D.	34 cm²
Answer» D. 34 cm²

Discussion

127.	What will be the area (in square metres) of 1.5 metre wide garden developed around all the four sides of a rectangular field having area equal to 300 square metres and breadth equal to three-fourth of
A.	112
B.	113
C.	114
D.	115
Answer» D. 115

Discussion

128.	The cost of building a fence around a circular field is Rs. 7, 700 at the rate of` 14 per foot. What is the area of the circular field ?
A.	24062.5 sq.ft
B.	25062.5 sq.ft
C.	26062.5 sq.ft
D.	27062.5 sq.ft
Answer» B. 25062.5 sq.ft

Discussion

129.	The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cms. and breadth 7 cms. What is the circumference of a semicircle whose diameter is equal to the side of the square
A.	38.57 cm
B.	48.57 cm
C.	58.57 cm
D.	68.57 cm
Answer» B. 48.57 cm

Discussion

130.	The ratio of the length of a rectangular park to its breadth is 13:9. If the length of the park is 72 feet more than the breadth, what is its perimeter ?
A.	592 ft
B.	692 ft
C.	792 ft
D.	892 ft
Answer» D. 892 ft

Discussion

131.	A silver wire, when bent in the term of a square, encloses an area of 625 cm². How much area would the same wire include if it is bent to form a circle ?
A.	495.45 cm²
B.	595.45 cm²
C.	695.45 cm²
D.	795.45 cm²
Answer» E.

Discussion

132.	Length and breadth of a rectangle are in a ratio 5 : 3. If its perimeter is 640 mts what will be the area of the rectangle ?
A.	17,000 sq.mt
B.	20,000 sq.mt
C.	24,000 sq.mt
D.	25,000 sq.mt
Answer» D. 25,000 sq.mt

Discussion

133.	The ratio of length and breadth of a rectangular plot is 5 : 3. If the perimeter of the plot is 96 metres, what is its area ?
A.	340 sq.m
B.	440 sq.m
C.	540 sq.m
D.	640 sq.m
Answer» D. 640 sq.m

Discussion

134.	Perimeters of a square and a rectangle are same. If the rectangle is 10 cms by 8 cms by what percentage area of the square will be more than that of the rectangle ?
A.	1.25
B.	1.55
C.	1.85
D.	1.95
Answer» B. 1.55

Discussion

135.	The area of an equilateral triangle is 400√3 sq.m. its perimeter is
A.	120 m
B.	136 m
C.	142 m
D.	153 m
Answer» B. 136 m

Discussion

136.	A circular park has a path of uniform width around it. The difference between outer and inner circumferences of the circular path is 132 m. Its width is (take pi = 22/7)
A.	5 m
B.	11 m
C.	21 m
D.	31 m
Answer» D. 31 m

Discussion

137.	The area of the biggest circle, which can be drawn inside a square a side of 21 cm (take pi = 22/7) is
A.	344.5 sq.cm
B.	345.5 sq.cm
C.	346.5 sq.cm
D.	347.5 sq.cm
Answer» D. 347.5 sq.cm

Discussion

138.	The perimeter of a square room is 32 cm. Then what will be the cost of total carpets which may cover all the sides at the rate of Rs. 145 per square cm ?
A.	Rs. 7280
B.	Rs. 8280
C.	Rs. 9280
D.	Rs. 10280
Answer» D. Rs. 10280

Discussion

139.	An error 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.	2%
B.	4%
C.	2.02%
D.	4.04%
Answer» B. 4%

Discussion

140.	A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what
A.	3 m
B.	4 m
C.	5.892 m
D.	3.61 m
Answer» B. 4 m

Discussion

141.	The diagonal of the floor of a rectangular closet is 15/2 feet. The shorter side of the closet is 9/2 feet. What is the area of the closet in square feet?
A.	17 sq.ft.
B.	27 sq.ft.
C.	20 sq.ft.
D.	30 sq.ft
Answer» C. 20 sq.ft.

Discussion

142.	A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
A.	38
B.	34
C.	30
D.	26
Answer» D. 26

Discussion

143.	The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be
A.	10cm
B.	13cm
C.	16cm
D.	18cm
Answer» E.

Discussion

144.	What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
A.	814
B.	824
C.	820
D.	830
Answer» B. 824

Discussion

145.	The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is
A.	2500
B.	2520
C.	2540
D.	2560
Answer» C. 2540

Discussion

146.	The ratio of length to breadth of a rectangular park is 11:9. The area of park is 2475 sq metres. What is the perimeter of the park ?
A.	200 m
B.	300 m
C.	400 m
D.	500 m
Answer» B. 300 m

Discussion

147.	What will be the area of a circular park if its circumference is 132 cm ?
A.	1244 sq cm
B.	1344 sq cm
C.	1444 sq cm
D.	1544 sq cm
Answer» C. 1444 sq cm

Discussion

148.	The area of a rectangle is 6 times the area of a square. The length of the rectangle is 300 cm and the breadth of the rectangle is 1/5 of the side of square. what is the side of the square?
A.	9 cm
B.	10 cm
C.	11 cm
D.	12 cm
Answer» C. 11 cm

Discussion

149.	What is the cost of painting a hall whose area is 862 sq metre, if the rate of painting per sq metre is Rs 22?
A.	Rs 15964
B.	Rs 16964
C.	Rs 17964
D.	Rs 18964
Answer» E.

Discussion

150.	The area of a triangle is 126 square metres and its base is 28 metres. Find the height ?
A.	7 m
B.	8 m
C.	9 m
D.	10 m
Answer» D. 10 m

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ?

The area of a trapezium is 4000 sq cm and its parallel sides are 45 cm and 35 cm respectively. Then what is the height of the trapezium ?

The diagonal of a square is 8 m. What is the area of the square ?

What is the length of a square I Its perimeter is 160 cm. H Its area is 1600 sq cm.

What is the area of a rectangle ? I Its length is 5 m. II. Its perimeter is 18 m.

2 metres board pathway is constructed around a rectangular plot on the inside . Area of the plot is 96 sq.m. Rate of construction is Rs. 50 per square mere . Find the total cost of construction?

The length of a rectangle is halved , while its breadth is tripled , what is the percentage change in area ?

The ratio between the perimeter and the breadth of a rectangle is 5 : 1 . If the area of the rectangle is 216 sq.cm. . what is the length of the rectangle ?

The sides of a rectangular field are in he ratio 3 : 4 . If the area of the field is 7500 sq. m. the cost of fencing the field @ 25 paise per metres is :

A large field of 750 hectares is divided into two parts . The difference of he areas of the two parts is one -fifth of the average of the two areas. What is the area of the smaller part in hectares ?

What is the area of a square ? (I) The perimeter is 16 cm (II) The side of the square is 4 cm.

If the area of a rectangle is equal to the area of a right angled triangle, what is the length of, rectangle ? I The base of the triangle is 10 m. II The height of the triangle is 15 m.

What is the perimeter of a rectangle ? I. Its area is 40 sq ft. II. Its length is 10 ft.

The area of a rectangle is 5 1/3 Square metre and its length is 3 times its breadth. What is the perimeter of the rectangle ?

A 60 cm wide path is to be made around a circular garden having a diameter of 12 metres. What is the area of the path ?

The radius of a sphere is increased by 10%. What will be the percentage increase in its surface area ?

Two cubes each of edge 8 centimetre are joined to form a single cuboid. What is the surface area of the cuboid ?

What is the area of a square ? I The diagonal is √2 times of the side of the square. II The ratio of the sides is given. III The perimeter of the square is 56 cm.

What is the area of a circle whose circumference is 1047.2 metres ?

A path all around the inside of a rectangular park 35 m by 25 m occupies 275 sq m. What is the width of the path ?

A path all around the inside of a rectangular park 60 m by 45 m occupies 2000 sq m. What is the width of the path ?

A square room has a verandah of uniform width of 3m around it. The area of the verandah is 288 sq m. Find the cost of flooring the room if the cost of flooring per square metre is Rs. 15.

If length of rectangle is increased by 16 m & breadth is decreased by 5 m , then area of rectangle remains unchanged, and if length is decreased by 8 m and breadth is increased by 5 m, the area still

If the length and the breadth of a rectangle is increased by 25% and 44% respectively, by what per cent does the area of that rectangle increase ?

The radius of a circle is increased by 40%. By what percentage will its area increase ?

A side of a right-angle triangle is four times the second side. If third side, the hypotenuse of the triangle, is A/272 cm, what would its area be ?

What will be the area (in square metres) of 1.5 metre wide garden developed around all the four sides of a rectangular field having area equal to 300 square metres and breadth equal to three-fourth of

The cost of building a fence around a circular field is Rs. 7, 700 at the rate of` 14 per foot. What is the area of the circular field ?

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cms. and breadth 7 cms. What is the circumference of a semicircle whose diameter is equal to the side of the square

The ratio of the length of a rectangular park to its breadth is 13:9. If the length of the park is 72 feet more than the breadth, what is its perimeter ?

A silver wire, when bent in the term of a square, encloses an area of 625 cm². How much area would the same wire include if it is bent to form a circle ?

Length and breadth of a rectangle are in a ratio 5 : 3. If its perimeter is 640 mts what will be the area of the rectangle ?

The ratio of length and breadth of a rectangular plot is 5 : 3. If the perimeter of the plot is 96 metres, what is its area ?

Perimeters of a square and a rectangle are same. If the rectangle is 10 cms by 8 cms by what percentage area of the square will be more than that of the rectangle ?

The area of an equilateral triangle is 400√3 sq.m. its perimeter is

A circular park has a path of uniform width around it. The difference between outer and inner circumferences of the circular path is 132 m. Its width is (take pi = 22/7)

The area of the biggest circle, which can be drawn inside a square a side of 21 cm (take pi = 22/7) is

The perimeter of a square room is 32 cm. Then what will be the cost of total carpets which may cover all the sides at the rate of Rs. 145 per square cm ?

An error 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 rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what

The diagonal of the floor of a rectangular closet is 15/2 feet. The shorter side of the closet is 9/2 feet. What is the area of the closet in square feet?

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be

What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is

The ratio of length to breadth of a rectangular park is 11:9. The area of park is 2475 sq metres. What is the perimeter of the park ?

What will be the area of a circular park if its circumference is 132 cm ?

The area of a rectangle is 6 times the area of a square. The length of the rectangle is 300 cm and the breadth of the rectangle is 1/5 of the side of square. what is the side of the square?

What is the cost of painting a hall whose area is 862 sq metre, if the rate of painting per sq metre is Rs 22?

The area of a triangle is 126 square metres and its base is 28 metres. Find the height ?