90 + Mcqs in General in Mensuration Page 1 McqOptions

1.	Two circular cylinders of equal volume have their heights in the ratio 1: 2. Ratio of their radii is
A.	(1:2)
B.	( 2:1)
C.	(2:1)
D.	( 3:2)
Answer» C. (2:1)

Discussion

2.	The length, breadth and height of a room is 5m, 4m and 3m, respectively. Find the length of the largest bamboo that can be kept inside the room
A.	5 m
B.	60 m
C.	7 m
D.	5 2 m
Answer» E.

Discussion

3.	A rectangular water tank is 80 m x 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is
A.	(3/2) cm
B.	(4/9) cm
C.	(5/9) cm
D.	(5/8) cm
Answer» E.

Discussion

4.	If the area of a circle, inscribed in an equilateral triangle is 4 cm 2;, then what is the area of the triangle?
A.	2 3 cm
B.	9 3 cm
C.	8 3 cm
D.	18 cm
Answer» B. 9 3 cm

Discussion

5.	A trapezium based prism with two parallel sides 8 cm and 14 cm respectively and distance between two parallel sides is 8 cm. Find the height of the prism if the volume of the prism is 1056 cm 3; ?
A.	11 cm
B.	10 cm
C.	9 cm
D.	12 cm
Answer» E.

Discussion

6.	By converting angle from degrees to radians, 40 is equal to
A.	0.287
B.	0.698 rad
C.	0.865 rad
D.	0.345 rad
Answer» C. 0.865 rad

Discussion

7.	A hemisphere is made of a sheet of a metal 1 cm thick. If the outer radius is 5 cm, what is the weight of the hemisphere (1 cm 3; of the metal weigh 9 g)?
A.	54 g
B.	366 g
C.	122 g
D.	108 g
Answer» C. 122 g

Discussion

8.	If circumference of circle is 64 then area of circle (in terms of ) is
A.	664 cm
B.	1024 cm
C.	1050 cm
D.	512 cm
Answer» C. 1050 cm

Discussion

9.	Chord divides circle into
A.	two segments
B.	three segments
C.	four segments
D.	five segments
Answer» B. three segments

Discussion

10.	Value of tan 7 considering radian is
A.	0.357
B.	0.768
C.	0.481
D.	0.274
Answer» D. 0.274

Discussion

11.	What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
A.	Rs. 3944
B.	Rs. 3828
C.	Rs. 4176
D.	Cannot be determined
Answer» B. Rs. 3828

Discussion

12.	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. 3642.40
B.	Rs. 3868.80
C.	Rs. 4216.20
D.	Rs. 4082.40
Answer» E.

Discussion

13.	The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
A.	27 m
B.	24 m
C.	18 m
D.	21 m
Answer» D. 21 m

Discussion

14.	The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
A.	1 : 96
B.	1 : 48
C.	1 : 84
D.	1 : 68
Answer» B. 1 : 48

Discussion

15.	The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
A.	8.5 m
B.	17 m
C.	34 m
D.	51 m
Answer» C. 34 m

Discussion

16.	The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
A.	8
B.	12
C.	6
D.	2
Answer» E.

Discussion

17.	Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
A.	225 cm
B.	275 cm
C.	285 cm
D.	315 cm
Answer» D. 315 cm

Discussion

18.	Find the area of a parallelogram with base 24 cm and height 16 cm.
A.	262 cm
B.	384 cm
C.	192 cm
D.	131 cm
Answer» C. 192 cm

Discussion

19.	The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
A.	25 cm
B.	42 cm
C.	70 cm
D.	None of these
Answer» E.

Discussion

20.	If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.	120 cm
B.	130 cm
C.	312 cm
D.	315 cm
Answer» B. 130 cm

Discussion

21.	Largest part of circle divided by chord is called
A.	circumference
B.	quadrant
C.	minor segment
D.	major segment
Answer» E.

Discussion

22.	If radius is 18 cm and angle at center of circle is 120 then area of sector is
A.	382.4 cm
B.	339.3 cm
C.	350 cm
D.	300 cm
Answer» C. 350 cm

Discussion

23.	In formula 2 r, 'r' is considered as
A.	circumference
B.	area
C.	perimeter
D.	radius
Answer» E.

Discussion

24.	Considering radian, value of tan 1.1 is
A.	1.964
B.	0.857
C.	0.382
D.	0.457
Answer» B. 0.857

Discussion

25.	Quadrilateral whose four vertices are lied on circumference of circle is called
A.	radian quadrilateral
B.	minor quadrilateral
C.	cyclic quadrilateral
D.	major quadrilateral
Answer» D. major quadrilateral

Discussion

26.	System of angular measurement is known as
A.	perimeter measure
B.
C.	C.
D.	D.
Answer» D. D.

Discussion

27.	A conical cavity is drilled in a circular cylinder of 15 cm height and 16 cm base diameter. The height and the base diameter of the cone are the same as those of the cylinder. Determine the total surface area of the remaining solid.
A.	440 cm
B.	215 cm
C.	542 cm
D.	376 cm
Answer» B. 215 cm

Discussion

28.	Considering radian, value of sin 1.9 is
A.	0.386
B.	0.258
C.	0.946
D.	2.876
Answer» D. 2.876

Discussion

29.	Sector at center of circle having an angle of 180 is called
A.	semicircle
B.	minor arc
C.	major-chord
D.	major arc
Answer» B. minor arc

Discussion

30.	If sector of circle of radius 16 cm has an area of 140 cm 2; then angle subtended at center of circle is
A.	62.66
B.	70
C.	75
D.	58.66
Answer» B. 70

Discussion

31.	By converting 3.5rad into degrees, answer will be
A.	103.12
B.	95
C.	180
D.	140.12
Answer» B. 95

Discussion

32.	Angles in opposite segments are classified as
A.	acute
B.	supplementary
C.	complementary
D.	obtuse
Answer» C. complementary

Discussion

33.	Sector at center of circle having an angle of 90 is called
A.	quadrant
B.	major sector
C.	minor sector
D.	semi-chord
Answer» B. major sector

Discussion

34.	What is the are of an equilateral triangle of side 16 cm?
A.	48 3 cm
B.	128 3 cm
C.	9.6 3 cm
D.	64 3 cm
Answer» E.

Discussion

35.	If base area of a room 12 m 2; and height is 3 m then its volume is:
A.	4 m
B.	36 m
C.	12 m
D.	18 m
Answer» C. 12 m

Discussion

36.	Two identical cubes each of total surface area of 6 cm 2; are joined end to end. Which of the following is the total surface area of the cuboid so formed?
A.	12 cm
B.	18 cm
C.	10 cm
D.	8 cm
Answer» D. 8 cm

Discussion

37.	If the dimensions of a room are I, b and h, ( . l length, l breadth and h hight) them which of the following is the area of its four walls?
A.	2h(1 + b)
B.	2h (1 + h)
C.	21(h + h)
D.	2h + 1 + b
Answer» B. 2h (1 + h)

Discussion

38.	Which of the following is equal to 1 kilolitre?
A.	1000 millilitres
B.	100 dm
C.	1 dm
D.	1000 dm
Answer» E.

Discussion

39.	If the edge of a cube is 1 cm then which of the following is its total surface area?
A.	1 cm
B.	4 cm
C.	6 cm
D.	none of these
Answer» D. none of these

Discussion

40.	If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:
A.	20 cm
B.	5 cm
C.	10 cm
D.	none of these
Answer» C. 10 cm

Discussion

41.	Which of the following has its area and perimeter numerically equal?
A.	an equilateral triangle of side 1 cm
B.	a square of side 1 cm
C.	a square of side 1 cm
D.	a regular pentagon of side 1 cm.
Answer» D. a regular pentagon of side 1 cm.

Discussion

42.	If the edge of a cube is 1 cm then which of the following is its volume?
A.	6 m
B.	3 m
C.	1 m
D.	none of these
Answer» D. none of these

Discussion

43.	Which of the following is the once of a rhombus?
A.	Product of its diagonals
B.	1/2 (sum of its diagonals)
C.	2 (Product of its diagonals)
D.	3 (Product of its diagonals)
Answer» D. 3 (Product of its diagonals)

Discussion

44.	Value of sin 2 3 considering radian is
A.	1.578
B.	0.624
C.	0.574
D.	0.866
Answer» E.

Discussion

45.	If circumference of circle is 82 then value of 'r' is
A.	41 cm
B.	82 cm
C.	27.34 cm
D.	20 cm
Answer» B. 82 cm

Discussion

46.	New unit to express magnitude of angle is called
A.	cosine
B.	radian
C.	circumference
D.	area
Answer» C. circumference

Discussion

47.	If the radius of a sphere is increased by 50%, find the increase percent in volume and the increase percent in the surface area.
A.	95%
B.	100 %
C.	115%
D.	125%
Answer» E.

Discussion

48.	How many spherical bullets can be made out of a lead cylinder 28 cm high and with base radius 6 cm, each bullet being 1.5 cm in diameter?
A.	1600
B.	1793
C.	1601
D.	1792
Answer» E.

Discussion

49.	A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of some liquid. The contents of this vessel are emptied into a cylindrical vessel with an internal radius of 10 cm. Find the height to which the liquid rises in the cylindrical vessel.
A.	22 cm
B.	23 cm
C.	24 cm
D.	25 cm
Answer» D. 25 cm

Discussion

50.	A cube of edge 15 cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of the vessel are 20 cm 15 cm, find the rise in water level.
A.	11 cm
B.	11.11 cm
C.	11. 22 cm
D.	11.25 cm
Answer» D. 11.25 cm

Discussion

Explore topic-wise MCQs in MENSURATION.

Two circular cylinders of equal volume have their heights in the ratio 1: 2. Ratio of their radii is

The length, breadth and height of a room is 5m, 4m and 3m, respectively. Find the length of the largest bamboo that can be kept inside the room

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

If the area of a circle, inscribed in an equilateral triangle is 4 cm 2;, then what is the area of the triangle?

A trapezium based prism with two parallel sides 8 cm and 14 cm respectively and distance between two parallel sides is 8 cm. Find the height of the prism if the volume of the prism is 1056 cm 3; ?

By converting angle from degrees to radians, 40 is equal to

A hemisphere is made of a sheet of a metal 1 cm thick. If the outer radius is 5 cm, what is the weight of the hemisphere (1 cm 3; of the metal weigh 9 g)?

If circumference of circle is 64 then area of circle (in terms of ) is

Chord divides circle into

Value of tan 7 considering radian is

What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?

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?

The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?

The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?

The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?

Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.

Find the area of a parallelogram with base 24 cm and height 16 cm.

The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?

Largest part of circle divided by chord is called

If radius is 18 cm and angle at center of circle is 120 then area of sector is

In formula 2 r, 'r' is considered as

Considering radian, value of tan 1.1 is

Quadrilateral whose four vertices are lied on circumference of circle is called

System of angular measurement is known as

A conical cavity is drilled in a circular cylinder of 15 cm height and 16 cm base diameter. The height and the base diameter of the cone are the same as those of the cylinder. Determine the total surface area of the remaining solid.

Considering radian, value of sin 1.9 is

Sector at center of circle having an angle of 180 is called

If sector of circle of radius 16 cm has an area of 140 cm 2; then angle subtended at center of circle is

By converting 3.5rad into degrees, answer will be

Angles in opposite segments are classified as

Sector at center of circle having an angle of 90 is called

What is the are of an equilateral triangle of side 16 cm?

If base area of a room 12 m 2; and height is 3 m then its volume is:

Two identical cubes each of total surface area of 6 cm 2; are joined end to end. Which of the following is the total surface area of the cuboid so formed?

If the dimensions of a room are I, b and h, ( . l length, l breadth and h hight) them which of the following is the area of its four walls?

Which of the following is equal to 1 kilolitre?

If the edge of a cube is 1 cm then which of the following is its total surface area?

If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:

Which of the following has its area and perimeter numerically equal?

If the edge of a cube is 1 cm then which of the following is its volume?

Which of the following is the once of a rhombus?

Value of sin 2 3 considering radian is

If circumference of circle is 82 then value of 'r' is

New unit to express magnitude of angle is called

If the radius of a sphere is increased by 50%, find the increase percent in volume and the increase percent in the surface area.

How many spherical bullets can be made out of a lead cylinder 28 cm high and with base radius 6 cm, each bullet being 1.5 cm in diameter?

A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of some liquid. The contents of this vessel are emptied into a cylindrical vessel with an internal radius of 10 cm. Find the height to which the liquid rises in the cylindrical vessel.

A cube of edge 15 cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of the vessel are 20 cm 15 cm, find the rise in water level.