# Mathematics MCQ (Multiple Choice Questions) - SchoolingAxis

Que- parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long then its area is:__________?

a. 480 sq.m

b. 320 sq.m

c. 600√15 sq.m

d. 450√15

Answer- 600√15 sq.m

Que- If a square and a rhombus stand on the same base then the ratio of the areas of the squares and the rhombus is:_________?

a. greater than 1

b. equal to 1

c. equal to 1/2

d. equal to ¼

Answer- equal to 1

Que- In a rhombus whose area is 144 sq.cm on of its diagonals is twice as long as the other. The lengths of its diagonals are:_________?

a. 24 cm,48cm

b. 12cm,24cm

c. 6√2cm,12√2cm

d. 6cm,12cm

Answer- 12cm,24cm

Que- The length of a rope by which a cow must be tethered in order that she may be able to graze an area of 9856 sq.m is:________?

a. 56m

b. 64m

c. 88m

d. 168m

Answer- 56m

Que- The circumferences of two concentric circles are 176 m and 132 cm respectively. What is the difference between their radii?

a. 5 m

b. 7 m

c. 8 m

d. 44 m

Answer- 7 m

Que- 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- 49 cm

Que- The number of rounds that a wheel of diameter 7/11 m will make in going 4 km is:_________?

a. 1000.0

b. 1500.0

c. 1700.0

d. 2000.0

Answer- 2000.0

Que- A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ration of 6:5 The smaller side if the rectangle is:_________?

a. 30 cm

b. 60 cm

c. 72 cm

d. 132 cm

Answer- 60 cm

Que- If the diameter of a circle is increased by 100 % its area is increased by:_________?

a. 1.0

b. 2.0

c. 3.0

d. 4.0

Answer- 3.0

Que- If the radius of a circle be reduced by 50% its area is reduced by:_________?

a. 0.25

b. 0.5

c. 0.75

d. 1.0

Answer- 0.75

Que- If the circumference of a circle is 352 meters then its area in Sq.m is:________?

a. 9856.0

b. 8956.0

c. 6589.0

d. 5986.0

Answer- 9856.0

Que- 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- 2x

Que- If the diagonal of a square is doubled. How does the area of the square change?

a. Becomes fourfold

b. Becomes threefold

c. Becomes twofold

d. none of the above

Answer- Becomes fourfold

Que- If the base of rectangle is increased by 10 % and the area is unchanged then the corresponding altitude must be decreased by:________?

a. 0.09090909090909091

b. 0.1

c. 0.11

d. 0.1111111111111111

Answer- 0.09090909090909091

Que- The length of a rectangle is twice its breadth, if length is decreased by 5 cm and the breadth is increased by 5 cm. The length of the rectangle is_________?

a. 20 cm

b. 30 cm

c. 40 cm

d. 50 cm

Answer- 40 cm

Que- A rectangle has 15 cm as its length and 159 cm^2 as its area. Its area is increased to 1 1/3 times the original area by increasing only its length its new perimeter is:_________?

a. 50 cm

b. 60 cm

c. 70 cm

d. 80 cm

Answer- 60 cm

Que- The length of a rectangular room is 4 meters. If it can be partitioned into two equal square rooms. What is the length of each partition in meters:________?

a. 1.0

b. 2.0

c. 4.0

d. Data Inadequate

Answer- 2.0

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

a. 0.42

b. 0.62

c. 0.82

d. none of these

Answer- 0.82

Que- A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. The cast of flooring the verandah at the rate of Rs 3.50 per sq. Meter is__________?

a. Rs.500

b. Rs. 600

c. Rs. 700

d. Rs. 800

Answer- Rs. 700

Que- If the ratio of the areas of two squares is 9:1 ratio of their perimeters is_________?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Answer- 31-Dec-1899

Que- The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?

a. 37 ½ %

b. 0.6

c. 0.75

d. 1.2

Answer- 37 ½ %

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

a. 15.0

b. 20.0

c. 30.0

d. 60.0

Answer- 20.0

Que- The length of a hall is (4/3) times its breadth. If the area of the hall be 300 square meters the difference between the length and breadth is__________?

a. 15m

b. 4m

c. 3m

d. None of these

Answer- None of these

Que- If the side of a square is increased by 25 % then how much percent does it’s area get increased:

a. 125.0

b. 156.25

c. 50.0

d. 56.25

Answer- 56.25

Que- 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 perimeter of the field is_________?

a. 260m

b. 280m

c. 360m

d. None of these

Answer- 360m

Que- The length and breadth of a rectangular piece of land are in the ratio of 5:3. The owner spent Rs 3000 for surroundings it from are the sides at Rs 7.50 per meter. The difference between is length and breadth is_________?

a. 50m

b. 100m

c. 150m

d. 200m

Answer- 50m

Que- The length and breadth of play ground are 36 m and 21 m respectively. Flag staffs are required to be fixed on all along the boundary at a distance of 3 m part. The number of flag staffs will be___________?

a. 37.0

b. 38.0

c. 39.0

d. 40.0

Answer- 38.0

Que- The Length of a plot is four times is breadth. A playground measuring 1200 square meters occupies a third of the total area of the plot. What is the length of the plot in meters?

a. 20.0

b. 30.0

c. 60.0

d. None of these

Answer- None of these

Que- If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is_________?

a. 15.12 sq.cm

b. 13.52 sq.cm

c. 12.62 sq.cm

d. 10 sq.cm

Answer- 13.52 sq.cm

Que- In a Circle of Radius 5 cm if AB and AC are two equal chords of length 6cm each, then the length of chord BC is___________?

a. 24/5 cm

b. 12/5 cm

c. 7/5 cm

d. None of these

Answer- None of these

Que- A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?

a. 160m × 27m

b. 240m × 18m

c. 120m × 36m

d. 135m × 32m

Answer- 120m × 36m

Que- Which one of the following has a greater perimeter than the rest?

a. A square with an area of 36 sq.cm

b. An Equilateral Triangle with a side of 9 cm

c. A rectangle with 10 cm as length and 40 sq.cm as area

d. A circle with a radius of 4 cm

Answer- A rectangle with 10 cm as length and 40 sq.cm as area

Que- The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?

a. 26.4 m^2

b. 39.6 m^2

c. 52.8 m^2

d. 79.2 m^2

Answer- 52.8 m^2

Que- The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is__________?

a. 0.35 cm^2

b. 17.5 cm^2

c. 8.75 cm^2

d. 55 cm^2

Answer- 8.75 cm^2

Que- A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?

a. (400 – 100Ï€) cm^2</sup

b. (400 – 2Ï€) cm^2</sup

c. (400 – 200Ï€) cm^2</sup

d. 200Ï€ cm^2</sup

Answer- (400 – 100Ï€) cm^2</sup

Que- A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m^2?

a. Rs.45

b. Rs.78

c. Rs.44

d. Rs.40

Answer- Rs.44

Que- The perimeter of a semi circle is 144 cm then the radius is_________?

a. 25 cm

b. 28 cm

c. 30 cm

d. 35 cm

Answer- 28 cm

Que- The radius of a semi circle is 6.3 cm then its perimeter is?

a. 35.4 cm

b. 32.4 cm

c. 32 cm

d. 30 cm

Answer- 32.4 cm

Que- What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Answer- 31-Dec-1899

Que- A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?

a. 1120 m^2

b. 1250 m^2

c. 1210 m^2

d. 1200 m^2

Answer- 1210 m^2

Que- The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?

a. 0.5

b. 0.6

c. 0.4

d. 0.64

Answer- 0.64

Que- The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is_________?

a. 31-Dec-1899

b. 31-Dec-1899

c. 31-Dec-1899

d. 31-Dec-1899

Answer- 31-Dec-1899

Que- If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?

a. 15.0

b. 10.0

c. 14.0

d. 12.0

Answer- 12.0

Que- The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?

a. 1000.0

b. 2000.0

c. 3000.0

d. 4000.0

Answer- 1000.0

Que- Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?

a. Rs.150

b. Rs.132

c. Rs.100

d. Rs.125

Answer- Rs.132

Que- If the area of circle is 616 sq cm then its circumference?

a. 78 m

b. 88 m

c. 75 m

d. 70 m

Answer- 88 m

Que- Find the area of circle whose radius is 7m?

a. 124 sq m

b. 154 sq m

c. 145 sq m

d. 167 sq m

Answer- 154 sq m

Que- Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?

a. 120 sq m

b. 150 sq m

c. 110 sq m

d. 300 sq m

Answer- 150 sq m

Que- The radius of a circle is increased by 1%. Find how much % does its area increases?

a. 0.0101

b. 0.0501

c. 0.0301

d. 0.0201

Answer- 0.0201

Que- The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is_________?

a. 20 m

b. 60 m

c. 40 m

d. 80 m

Answer- 80 m

Que- The side of a square is increased by 25% then how much % does its area increases?

a. 52.65

b. 56.25

c. 50.75

d. 42.75

Answer- 56.25

Que- The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is_________?

a. 8 m

b. 10 m

c. 6 m

d. 12 m

Answer- 8 m

Que- The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?

a. 260 cm^2

b. 240 cm^2

c. 280 cm^2

d. 220 cm^2

Answer- 240 cm^2

Que- The diagonals of a rhombus are 15 cm and 20 cm. Find its area?

a. 120 sq m

b. 300 sq m

c. 150 sq m

d. 480 sq m

Answer- 150 sq m

Que- The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is_______?

a. 529 sq m

b. 240 sq m

c. 260 sq m

d. 480 sq m

Answer- 480 sq m

Que- The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?

a. 0.275

b. 0.375

c. 0.475

d. 0.575

Answer- 0.375

Que- The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?

a. Remains same

b. 5% decrease

c. 5% increase

d. 10% increase

Answer- Remains same

Que- A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?

a. Rs.3600

b. Rs.3700

c. Rs.3800

d. Rs.3900

Answer- Rs.3900

Que- A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?

a. 675, Rs.1350

b. 575, Rs.1350

c. 1350, Rs.675

d. None

Answer- 675, Rs.1350

Que- The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?

a. 432 sq m

b. 356 sq m

c. 452 sq m

d. 428 sq m

Answer- 432 sq m

Que- The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?

a. Rs.1014

b. Rs.1140

c. Rs.999

d. Rs.1085

Answer- Rs.999

Que- A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m^2 and the short side is 30 m long. How much would the job cost?

a. Rs.700

b. Rs.1200

c. Rs.1400

d. Rs.1500

Answer- Rs.1200

Que- The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?

a. 31 m

b. 32 m

c. 16 m

d. 20 m

Answer- 32 m

Que- Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?

a. 425.0

b. 476.0

c. 450.0

d. 350.0

Answer- 476.0

Que- How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?

a. 99.0

b. 90.0

c. 95.0

d. 100.0

Answer- 99.0