291 + Mcqs in Area and Volume in General Aptitude Page 3 McqOptions

101.	A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 22 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the rose in level of the field will be ?
A.	0.299 cm
B.	0.29 cm
C.	2.98 cm
D.	4.15 cm
Answer» D. 4.15 cm

Discussion

102.	A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is :
A.	130 m³
B.	170 m³
C.	210 m³
D.	270 m³
Answer» E.

Discussion

103.	A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of the hall is :
A.	1200 m³
B.	1300 m³
C.	1400 m³
D.	1500 m³
Answer» B. 1300 m³

Discussion

104.	A rectangular water tank is 80 m × 40 m. Water flows into it through a pipe 40 sq. cm at the opening at a speed of 10 km/hr. By how much, the water level will rise in the tank in half an hour
A.	1/2 cm
B.	3/5 cm
C.	5/8 cm
D.	9/2 cm
Answer» D. 9/2 cm

Discussion

105.	50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man 4 m³, then the rise in the water level in the tank will be :
A.	20 cm
B.	25 cm
C.	30 cm
D.	35 cm
Answer» C. 30 cm

Discussion

106.	The number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is :
A.	3780
B.	4820
C.	5130
D.	6080
Answer» E.

Discussion

107.	The base radius and height of a cone are doubled. The ratio of the new volume to original volume is ?
A.	8 : 7
B.	8 : 3
C.	8 : 1
D.	8 : 5
Answer» D. 8 : 5

Discussion

108.	The length, breadth and height of a room are l, b and h, respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls, is ?
A.	100h%
B.	100/h%
C.	h%
D.	h/100%
Answer» C. h%

Discussion

109.	A rectangular tank has 2.6 cu m of water. If the area of the base of the tank is 6500 sq cm, then the depth of water (in m) is ?
A.	3.5
B.	4
C.	5
D.	8
Answer» C. 5

Discussion

110.	The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5√5 cm, its surface area is ?
A.	3
B.	4
C.	5
D.	6
Answer» E.

Discussion

111.	If height of a cylinder is increased by 17.5 % while its radius remains unchanged, by what percent does its volume increase ?
A.	17.5%
B.	18%
C.	19.8%
D.	25%
Answer» B. 18%

Discussion

112.	A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball ?
A.	6 cm
B.	9 cm
C.	8 cm
D.	None of these
Answer» C. 8 cm

Discussion

113.	If the height of the right circular cone is increased by 200% and the radius of the base is reduced by 50%. Then, the change in the volume of cone is ?
A.	increase by 25%
B.	increase by 50%
C.	remains unchanged
D.	decreases by 25%
Answer» E.

Discussion

114.	If each side of a cube is decreased by 19 %, then decrease in surface area of cube is ?
A.	40.4%
B.	38.4%
C.	35.6%
D.	34.39%
Answer» E.

Discussion

115.	If radius of sphere is decreased by 24%. By what per cent does the surface area decrease ?
A.	44%
B.	49%
C.	42.24%
D.	46.2%
Answer» D. 46.2%

Discussion

116.	Bricks are worth Rs. 750 per 1000 and their length, breadth and height 25 cm, 12.5 cm and 7.5 cm respectively. The cost of bricks required to build a wall 200 m long, 1.8 m high and 37.5 cm thick is ?
A.	Rs. 42, 600
B.	Rs. 43, 200
C.	Rs. 40, 750
D.	Rs. 41, 860
Answer» C. Rs. 40, 750

Discussion

117.	The length of longer pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10√2m. The height of the room is ?
A.	6 m
B.	7.5 m
C.	8 m
D.	10 m
Answer» E.

Discussion

118.	If the length breadth and the height of cuboid are in the ratio 6 :5 : 4 and if the total surface area is 33300 cm2, then the length, breadth and height in cm. are respectively ?
A.	90, 85, 60
B.	85, 75, 60
C.	90, 75, 70
D.	90, 75, 60
Answer» E.

Discussion

119.	A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes that can be carried in 1 wooden box is ?
A.	1200000
B.	1000000
C.	9800000
D.	7500000
Answer» C. 9800000

Discussion

120.	A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm lowered into the water until it is completely immersed. The water level in the vessel will rise by ?
A.	4/9 cm
B.	9/4 cm
C.	2/3 cm
D.	4/5 cm
Answer» C. 2/3 cm

Discussion

121.	A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by ?
A.	4.5 cm
B.	2.25 cm
C.	4/9 cm
D.	2/9 cm
Answer» C. 4/9 cm

Discussion

122.	A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is ?
A.	3 : 5
B.	2 : 5
C.	3 : 1
D.	1 : 3
Answer» E.

Discussion

123.	A right cylindrical vessel is full with water. How many right cones having the same diameter and height as those of the right cylinder will be needed to store that water ?
A.	2
B.	3
C.	4
D.	5
Answer» C. 4

Discussion

124.	The volume of a sphere is 38808 cu. cm. The curved surface area of the sphere is ?
A.	5544 sq. cm
B.	1386 sq. cm
C.	8316 sq. cm
D.	4158 sq. cm
Answer» B. 1386 sq. cm

Discussion

125.	The radius of a wire is decreased to one-third. If volume remains the same, length will increase ?
A.	1 time
B.	2 times
C.	6 times
D.	9 times
Answer» C. 6 times

Discussion

126.	The percentage increased in the surface area of a cube when each side is doubled, is ?
A.	25%
B.	50%
C.	150%
D.	300%
Answer» E.

Discussion

127.	The length of the wire of 0.2 mm radius that can be drawn after melting a solid copper sphere of diameter 18 cm, is ?
A.	24.3 m
B.	243 m
C.	2430 m
D.	24300 m
Answer» E.

Discussion

128.	The number of solid spheres each of diameter 6 cm that could be moulded to form a solid metal cylinder 4 cm, is ?
A.	3
B.	4
C.	5
D.	6
Answer» D. 6

Discussion

129.	A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of iron used is ?
A.	56372 cubic m
B.	107712 cubic cm
C.	54982 cubic cm
D.	57636 cubic cm
Answer» C. 54982 cubic cm

Discussion

130.	The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is ?
A.	4/3 times its radius
B.	2/3 times its radius
C.	Equal to the radius
D.	Equals to its diameter
Answer» B. 2/3 times its radius

Discussion

131.	A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is ?
A.	268 sq. cm
B.	528 sq. cm
C.	462 sq. cm
D.	658 sq. cm
Answer» C. 462 sq. cm

Discussion

132.	The radius of two cylinders are in the ratio of 2 : 3 and their height are in the ratio 5 : 3 . The ratio of their volumes is ?
A.	27 : 20
B.	20 : 27
C.	4 : 9
D.	9 : 4
Answer» C. 4 : 9

Discussion

133.	If the radius of a sphere is doubled, then its volume is increased by ?
A.	100 %
B.	200 %
C.	700 %
D.	800 %
Answer» D. 800 %

Discussion

134.	If the height of a come is doubled, then its volume is increased by ?
A.	100%
B.	200%
C.	300%
D.	400%
Answer» B. 200%

Discussion

135.	If the radius of a sphere is doubled, then its surface area is increased by ?
A.	100%
B.	200%
C.	300%
D.	50%
Answer» D. 50%

Discussion

136.	A cylindrical piece of metal of radius 2 cm and height 6 cm is shaped into a cone of same radius. The height of the cone is ?
A.	18 cm
B.	14 cm
C.	12 cm
D.	8 cm
Answer» B. 14 cm

Discussion

137.	The material of a cone is converted into the shape of a cylinder of equal radius . If the height of the cylinder is 5 cm. the height of the cone is ?
A.	10 cm
B.	15 cm
C.	18 cm
D.	24 cm
Answer» C. 18 cm

Discussion

138.	A come of height 7 cm and base radius 3 cm is curved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is ?
A.	34%
B.	46%
C.	54%
D.	66%
Answer» B. 46%

Discussion

139.	A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls. ?
A.	800
B.	125
C.	400
D.	8000
Answer» E.

Discussion

140.	How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter ?
A.	5324
B.	2662
C.	1347
D.	2541
Answer» E.

Discussion

141.	The cost of painting the four walls of a room is Rs. 350. The cost of painting a room three times in length, breadth and height respectively will be ?
A.	Rs. 1050
B.	Rs. 1400
C.	Rs. 3150
D.	Rs. 4200
Answer» D. Rs. 4200

Discussion

142.	A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls, The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is ?
A.	2.66 cm
B.	2.25 cm
C.	3 cm
D.	3.5 cm
Answer» C. 3 cm

Discussion

143.	Volume of a hemisphere is 19404 cubic cm. The total surface area is ?
A.	27772 sq. cm
B.	4158 sq. cm
C.	5544 sq. cm
D.	1386 sq. cm
Answer» C. 5544 sq. cm

Discussion

144.	A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 60 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder ?
A.	15 cm
B.	30 cm
C.	40 cm
D.	25 cm
Answer» D. 25 cm

Discussion

145.	If the volumes of two cones are in ratio 1 : 4 and their diameter are in the ratio 4 : 5, then the ratio of their heights is ?
A.	1 : 5
B.	5 : 4
C.	5 : 16
D.	25 : 64
Answer» C. 5 : 16

Discussion

146.	How many cubes of 3 cm edge be cut out of a cube of 18 cm edge ?
A.	63
B.	432
C.	216
D.	None of these
Answer» D. None of these

Discussion

147.	Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm. ?
A.	12
B.	13
C.	15
D.	17
Answer» C. 15

Discussion

148.	Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube. ?
A.	243 sq cm
B.	463 sq cm
C.	486 sq cm
D.	293 sq cm
Answer» B. 463 sq cm

Discussion

149.	Find the surface area of a cuboid 10 m long, 5 m broad and 3 m high ?
A.	105 sq m
B.	104 sq m
C.	170 sq m
D.	190 sq m
Answer» E.

Discussion

150.	If the total surface area of a cube is 6 sq units, then what is the volume of the cube ?
A.	1 cu unit
B.	2 cu units
C.	4 cu units
D.	6 cu units
Answer» B. 2 cu units

Discussion

Explore topic-wise MCQs in General Aptitude.

A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 22 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the rose in level of the field will be ?

A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is :

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of the hall is :

A rectangular water tank is 80 m × 40 m. Water flows into it through a pipe 40 sq. cm at the opening at a speed of 10 km/hr. By how much, the water level will rise in the tank in half an hour

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man 4 m³, then the rise in the water level in the tank will be :

The number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is :

The base radius and height of a cone are doubled. The ratio of the new volume to original volume is ?

The length, breadth and height of a room are l, b and h, respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls, is ?

A rectangular tank has 2.6 cu m of water. If the area of the base of the tank is 6500 sq cm, then the depth of water (in m) is ?

The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5√5 cm, its surface area is ?

If height of a cylinder is increased by 17.5 % while its radius remains unchanged, by what percent does its volume increase ?

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball ?

If the height of the right circular cone is increased by 200% and the radius of the base is reduced by 50%. Then, the change in the volume of cone is ?

If each side of a cube is decreased by 19 %, then decrease in surface area of cube is ?

If radius of sphere is decreased by 24%. By what per cent does the surface area decrease ?

Bricks are worth Rs. 750 per 1000 and their length, breadth and height 25 cm, 12.5 cm and 7.5 cm respectively. The cost of bricks required to build a wall 200 m long, 1.8 m high and 37.5 cm thick is ?

The length of longer pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10√2m. The height of the room is ?

If the length breadth and the height of cuboid are in the ratio 6 :5 : 4 and if the total surface area is 33300 cm2, then the length, breadth and height in cm. are respectively ?

A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes that can be carried in 1 wooden box is ?

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm lowered into the water until it is completely immersed. The water level in the vessel will rise by ?

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by ?

A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is ?

A right cylindrical vessel is full with water. How many right cones having the same diameter and height as those of the right cylinder will be needed to store that water ?

The volume of a sphere is 38808 cu. cm. The curved surface area of the sphere is ?

The radius of a wire is decreased to one-third. If volume remains the same, length will increase ?

The percentage increased in the surface area of a cube when each side is doubled, is ?

The length of the wire of 0.2 mm radius that can be drawn after melting a solid copper sphere of diameter 18 cm, is ?

The number of solid spheres each of diameter 6 cm that could be moulded to form a solid metal cylinder 4 cm, is ?

A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of iron used is ?

The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is ?

A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is ?

The radius of two cylinders are in the ratio of 2 : 3 and their height are in the ratio 5 : 3 . The ratio of their volumes is ?

If the radius of a sphere is doubled, then its volume is increased by ?

If the height of a come is doubled, then its volume is increased by ?

If the radius of a sphere is doubled, then its surface area is increased by ?

A cylindrical piece of metal of radius 2 cm and height 6 cm is shaped into a cone of same radius. The height of the cone is ?

The material of a cone is converted into the shape of a cylinder of equal radius . If the height of the cylinder is 5 cm. the height of the cone is ?

A come of height 7 cm and base radius 3 cm is curved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is ?

A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls. ?

How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter ?

The cost of painting the four walls of a room is Rs. 350. The cost of painting a room three times in length, breadth and height respectively will be ?

A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls, The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is ?

Volume of a hemisphere is 19404 cubic cm. The total surface area is ?

A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 60 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder ?

If the volumes of two cones are in ratio 1 : 4 and their diameter are in the ratio 4 : 5, then the ratio of their heights is ?

How many cubes of 3 cm edge be cut out of a cube of 18 cm edge ?

Internal length, breadth and height of a rectangular box are 10 cm, 8 cm and 6 cm, respectively. How many boxes are needed which can be packed in a cube whose volume is 6240 cu. cm. ?

Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube. ?

Find the surface area of a cuboid 10 m long, 5 m broad and 3 m high ?

If the total surface area of a cube is 6 sq units, then what is the volume of the cube ?