In Mass Haul diagram (Mass diagram), the term haul represents the

Distance at any time from the working face of an excavation to the tip end of the embankment

Sum of the product of each load by its distance

Distance at any time from the working face of an excavation to the tip end of the embankment

Distance from the centre of gravity of a cutting to that of tipped material

Horizontal distance through which the load is shifted

In the planimeter formula for measuring area, A = M (FR – IR ± 10 N) + C, the additive constant is considered when

the anchor point is outside the area being measured

the anchor point is inside the area being measured

the anchor point is outside the area being measured

the area traced is in clockwise direction

the area traced is in anti-clockwise direction

291 + Mcqs in Area and Volume in General Aptitude Page 1 McqOptions

1.	In Mass Haul diagram (Mass diagram), the term haul represents the
A.	Sum of the product of each load by its distance
B.	Distance at any time from the working face of an excavation to the tip end of the embankment
C.	Distance from the centre of gravity of a cutting to that of tipped material
D.	Horizontal distance through which the load is shifted
Answer» B. Distance at any time from the working face of an excavation to the tip end of the embankment

Discussion

2.	In the planimeter formula for measuring area, A = M (FR – IR ± 10 N) + C, the additive constant is considered when
A.	the anchor point is inside the area being measured
B.	the anchor point is outside the area being measured
C.	the area traced is in clockwise direction
D.	the area traced is in anti-clockwise direction
Answer» B. the anchor point is outside the area being measured

Discussion

3.	Determine the approximate quantity of earthwork for a road in embankment having a length of 120 m on a uniform level ground. The width of formation is 10 m and side slopes are 3 ∶ 1. The heights of the bank at the ends are 1 m and 1.5 m, respectively. Use trapezoidal method considering average of areas at the two ends.
A.	1785 m3
B.	1485 m3
C.	1885 m3
D.	2085 m3
Answer» E.

Discussion

4.	If the cross sectional areas of an embankment at 60 m intervals are 20, 40, 60, 50 and 30 sq.m, then the volume (cum) of the embankment on the basis of prismoidal rule is
A.	10600
B.	5300
C.	4000
D.	12000
E.	9300
Answer» B. 5300

Discussion

5.	If the surface of the earth is rough, then the exact amount of earthwork can be found:
A.	By the trapezoidal rule
B.	By simpson's rule
C.	By the average ordinate rule
D.	By mid ordinate rule
Answer» C. By the average ordinate rule

Discussion

6.	Find the amount of earthwork from the mid-sectional area method, assuming there is no transverse slope, while the elevations at both the ends of the land with the same slope are 1 m and 1.6 m respectively, the width and length of the road is 10 m and 200 m respectively and the side slope is 2: 1.
A.	3276 Cu. m
B.	3300 Cu. m
C.	3288 Cu. m
D.	3312 Cu. m
Answer» B. 3300 Cu. m

Discussion

7.	A cross-section area of river flow can be calculated by using following formula ______.
A.	Simpson's rule
B.	Trapezoidal rule
C.	Both (1) and (2)
D.	Thumb rule
Answer» D. Thumb rule

Discussion

8.	In a cross staff survey, the perpendicular offsets are taken on right and left of the chain line AD as shown in figure – all values are in ‘metres’. The area enclosed by ABCDEFA, computed by trapezoidal method is
A.	3650 m2
B.	3200 m2
C.	3475 m2
D.	3500 m2
Answer» D. 3500 m2

Discussion

9.	A road embankment 10 m wide at the formation level with side slopes 2:1 and with an average height of 5 m is constructed with an average gradient of 1:40 from the contour 220 m to 280 m. Find the volume of earthwork.
A.	6,40,000 m3
B.	1,40,000 m3
C.	3,40,000 m3
D.	2,40,000 m3
Answer» E.

Discussion

10.	How much is the measuring capability of digital planimeter w.r.t. an ordinary planimeter?
A.	10 times larger
B.	2 times larger
C.	20 times larger
D.	100 times larger
Answer» E.

Discussion

11.	If the formation level of a highway has a uniform gradient for a particular length and the ground is also having a longitudinal slope, the earthwork may be calculated by
A.	mid section formula
B.	trapezoidal formula
C.	prismoidal formula
D.	All of the above
Answer» E.

Discussion

12.	In earthwork computations on a longitudinal profile, the diagram prepared to work out the quantity of earthwork is:
A.	double mass curve
B.	mass haul diagram
C.	Mollier diagram
D.	flow net
Answer» C. Mollier diagram

Discussion

13.	In economical digging, sectional area of excavation is _______ sectional area of banking.
A.	equal to
B.	less than
C.	greater than
D.	None of the above
Answer» B. less than

Discussion

14.	What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
A.	344.35 cm2
B.	462 cm2
C.	498.35 cm2
D.	None of these
Answer» D. None of these

Discussion

15.	The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
A.	3 : 7
B.	7 : 3
C.	6 : 7
D.	7 : 6
Answer» C. 6 : 7

Discussion

16.	The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A.	40%
B.	42%
C.	44%
D.	46%
Answer» D. 46%

Discussion

17.	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.	16 cm
B.	18 cm
C.	24 cm
D.	Data inadequate
Answer» C. 24 cm

Discussion

18.	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.	2.02%
C.	4%
D.	4.04%
Answer» E.

Discussion

19.	The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
A.	15360
B.	153600
C.	30720
D.	307200
Answer» C. 30720

Discussion

20.	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 is the width of the road?
A.	2.91 m
B.	3 m
C.	5.82 m
D.	None of these
Answer» C. 5.82 m

Discussion

21.	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.	820
C.	840
D.	844
Answer» B. 820

Discussion

22.	The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
A.	9 cm
B.	18 cm
C.	20 cm
D.	41 cm
Answer» C. 20 cm

Discussion

23.	A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
A.	10%
B.	10.08%
C.	20%
D.	28%
Answer» E.

Discussion

24.	A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
A.	20
B.	24
C.	30
D.	33
Answer» D. 33

Discussion

25.	The diagonal of the floor of a rectangular closet is 7(1/2) feet. The shorter side of the closet is 4(1/2) feet. What is the area of the closet in square feet?
A.	5(1/4)
B.	13(1/2)
C.	27
D.	37
Answer» D. 37

Discussion

26.	A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
A.	Rs. 456
B.	Rs. 458
C.	Rs. 558
D.	Rs. 568
Answer» D. Rs. 568

Discussion

27.	A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
A.	34
B.	40
C.	68
D.	88
Answer» E.

Discussion

28.	The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
A.	40
B.	50
C.	120
D.	None of these
Answer» E.

Discussion

29.	The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
A.	25% increase
B.	50% increase
C.	50% decrease
D.	75% decrease
Answer» C. 50% decrease

Discussion

30.	The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
A.	1520 m2
B.	2420 m2
C.	2480 m2
D.	2520 m2
Answer» E.

Discussion

31.	A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
A.	4830
B.	5120
C.	6420
D.	8960
Answer» C. 6420

Discussion

32.	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 is 4 m3, then the rise in the water level in the tank will be:
A.	20 cm
B.	25 cm
C.	35 cm
D.	50 cm
Answer» C. 35 cm

Discussion

33.	Find the surface area of a 10 cm × 4 cm × 3 cm brick.
A.	128 sq. cm
B.	164 sq. cm
C.	194 sq. cm
D.	208 sq. cm
Answer» C. 194 sq. cm

Discussion

34.	A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to
A.	27
B.	43
C.	54
D.	67
Answer» D. 67

Discussion

35.	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.	1492
B.	1592
C.	1692
D.	1792
Answer» E.

Discussion

36.	How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic metre of iron.
A.	400
B.	800
C.	1200
D.	1600
Answer» B. 800

Discussion

37.	A cube of edge 15 cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20 cm × 15 cm, find the rise in water level.
A.	10.25 cm
B.	11.25 cm
C.	12.25 cm
D.	13.25 cm
Answer» C. 12.25 cm

Discussion

38.	The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
A.	40cm
B.	30cm
C.	20cm
D.	10cm
Answer» B. 30cm

Discussion

39.	A cistern can be filled by two pipes. A and B in 12 minutes and 14 minutes respectively and can be emptied by a third pipe C in 8 minutes. If all the taps be turned on at the same moment, what part of
A.	5/24
B.	19/24
C.	7/24
D.	17/24
Answer» C. 7/24

Discussion

40.	A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be :
A.	√2 : 1
B.	√3 : 1
C.	√4 : 1
D.	√5 : 1
Answer» B. √3 : 1

Discussion

41.	A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then :
A.	H = 1R
B.	H = 2R
C.	H = 3R
D.	H = 4R
Answer» C. H = 3R

Discussion

42.	A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 5C% more than its height. If the diameter is same for bot
A.	25%
B.	50%
C.	75%
D.	100%
Answer» E.

Discussion

43.	The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km². The height of the mountain is :
A.	2.4 km
B.	3.6 km
C.	4.3 km
D.	5.8 km
Answer» B. 3.6 km

Discussion

44.	If a right circular cone of height 24 cm has a volume of 1232 cm³, then the area of its curved surface is :
A.	550 cm²
B.	650 cm²
C.	750 cm²
D.	850 cm²
Answer» B. 650 cm²

Discussion

45.	The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
A.	20π m²
B.	40π m²
C.	60π m²
D.	80π m²
Answer» D. 80π m²

Discussion

46.	A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is :
A.	10π cm³
B.	11π cm³
C.	12π cm³
D.	13π cm³
Answer» D. 13π cm³

Discussion

47.	What is the total surface area of a right circular cone of height 14 cm, and base radius 7cm.
A.	398.35 cm²
B.	498.35 cm²
C.	598.35 cm²
D.	698.35 cm²
Answer» C. 598.35 cm²

Discussion

48.	If three metallic spheres of radii 6 cms, 8 cms and 10 cms are melted to form a single sphere, the diameter of the new sphere will be :
A.	12 cm
B.	24 cm
C.	36 cm
D.	48 cm
Answer» C. 36 cm

Discussion

49.	The volumes of two spheres are in the ratio of 64 : 27. The ratio of their surface areas is :
A.	1 : 3
B.	6 : 9
C.	14 : 12
D.	16 : 9
Answer» E.

Discussion

50.	If the measured value of the radius is 1.5% larger, the percentage error (correct to one decimal place) made in calculating the volume of a sphere is :
A.	4.6%
B.	3.6%
C.	2.6%
D.	1.6%
Answer» B. 3.6%

Discussion

Explore topic-wise MCQs in General Aptitude.

In Mass Haul diagram (Mass diagram), the term haul represents the

In the planimeter formula for measuring area, A = M (FR – IR ± 10 N) + C, the additive constant is considered when

If the cross sectional areas of an embankment at 60 m intervals are 20, 40, 60, 50 and 30 sq.m, then the volume (cum) of the embankment on the basis of prismoidal rule is

If the surface of the earth is rough, then the exact amount of earthwork can be found:

Find the amount of earthwork from the mid-sectional area method, assuming there is no transverse slope, while the elevations at both the ends of the land with the same slope are 1 m and 1.6 m respectively, the width and length of the road is 10 m and 200 m respectively and the side slope is 2: 1.

A cross-section area of river flow can be calculated by using following formula ______.

In a cross staff survey, the perpendicular offsets are taken on right and left of the chain line AD as shown in figure – all values are in ‘metres’. The area enclosed by ABCDEFA, computed by trapezoidal method is

A road embankment 10 m wide at the formation level with side slopes 2:1 and with an average height of 5 m is constructed with an average gradient of 1:40 from the contour 220 m to 280 m. Find the volume of earthwork.

How much is the measuring capability of digital planimeter w.r.t. an ordinary planimeter?

If the formation level of a highway has a uniform gradient for a particular length and the ground is also having a longitudinal slope, the earthwork may be calculated by

In earthwork computations on a longitudinal profile, the diagram prepared to work out the quantity of earthwork is:

In economical digging, sectional area of excavation is _______ sectional area of banking.

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

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?

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:

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) 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 is the width of the road?

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

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

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

The diagonal of the floor of a rectangular closet is 7(1/2) feet. The shorter side of the closet is 4(1/2) feet. What is the area of the closet in square feet?

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

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

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

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

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

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 is 4 m3, then the rise in the water level in the tank will be:

Find the surface area of a 10 cm × 4 cm × 3 cm brick.

A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to

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.

How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic metre of iron.

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

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

A cistern can be filled by two pipes. A and B in 12 minutes and 14 minutes respectively and can be emptied by a third pipe C in 8 minutes. If all the taps be turned on at the same moment, what part of

A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be :

A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then :

A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 5C% more than its height. If the diameter is same for bot

The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km². The height of the mountain is :

If a right circular cone of height 24 cm has a volume of 1232 cm³, then the area of its curved surface is :

The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is :

What is the total surface area of a right circular cone of height 14 cm, and base radius 7cm.

If three metallic spheres of radii 6 cms, 8 cms and 10 cms are melted to form a single sphere, the diameter of the new sphere will be :

The volumes of two spheres are in the ratio of 64 : 27. The ratio of their surface areas is :

If the measured value of the radius is 1.5% larger, the percentage error (correct to one decimal place) made in calculating the volume of a sphere is :