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## Mensuration Part 9: Advance math series 2000 most important questions.

Mensuration Part 9: Advance math series 2000 most important question

Q842. If the circumference and area of a circle are numerically equal, then the diameter is equal to:

(a) area of the circle

(b) π/2

(c) 2π

(d) 4

Q843. The side of a triangle are in the ratio 1/2:1/3:1/4 If the perimeter of the triangle is 52 cm, the length of the smallest side is:

(a) 24 cm

(b) cm

(c) 12 cm

(d) 9 cm

Q844. The circumference of the base of a circular cylinder is 6π cm. The height of the cylinder is equal to the diameter of the base. How many litres of waster can it hold?

(a) 54 π cc

(b) 36 π cc

(c) 0.054 π cm

(d) 0.54 π cc

Q845. The length of a plot is five times its breadth. A playground measuring 245 square metres occupies half of the total area of the plot. What is the length of the plot?

(a) 35 √2 metres

(b) 175√2 metres

(c) 490 metres

(d) 5√2 metres

Q846. ABC is a triangle with base AB. D is a point on AB such that AB = 5 and DB = 3. What is the ratio of the area of ΔADC to the area of ΔABC?

(a) 3/2

(b) 2/3

(c) 3/5

(d) 2/5

Q847. The sides of a rectangular plot are in the ratio 5: 4 and its area is equal to 500 sq.m. The perimeter of the plot is:

(a) 80m.

(b) 100m.

(c) 90m.

(d) 95m.

Q848. The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88cm2. The volume of the cuboid is:

a) 120cm3

(b) 64cm2

(c) 48cm2

(d) 24cm2

Q849. The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is:

(a) 8.5cm2

(b) 8.75cm2

(c) 7.75cm2

(d) 7.50cm2

Q850.The area (in sq. cm.) of the largest circle that can be drawn inside a square of side 28 cm, is:

(a) 17248

(b) 784

(c) 8624

(d) 616

Q851. If diagonal of a cube is √12 cm, then its volume in cubic cm is:

(a) 8

(b) 12

(c) 24

(d)3√2

Q852. Find the length of the largest rod that can be placed in a room 16m long, 12m broad and 10 2/3m, high.

(a) 23 m.

(b) 68 m.

(c) 22 2/3 m.

(d) 22 1/3 m.

Q853. if the radius of a sphere is increased by 2 cm, its surface area increased by 352 cm2 . The radius of sphere before change is: ((use =π=22/7)

(a) 3 cm

(b) 4 cm

(c) 5 cm

(d) 6 cm

Q854. If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is;

(a) 15.12 sq.cm

(b) 13.52 sq.cm

(c) 12.62 sq.cm

(d)10. 00 sq.cm.

Q855. The length of the diagonal of a square is ‘a’ cm. Which of the following represents the area of the square (in sq. cm.)?

(a) 2a

(b)a/√2

(c) a2/2

(d) a2/4

Q856. The radius of a circular wheel is 1.75m. The number of revolutions it will make in travelling 11 km is:  (use  π = 22/7 )

(a) 800

(b) 900

(c) 1000

(d) 1200

Q857. The length and breadth of a rectangular field are in the ratio of 3: 2. If the perimeter of the field is 80m, its breadth (in metres) is:

(a) 18

(b) 16

(c) 10

(d) 24

Q858. Two right circular cylinders of equal volume have their heights in the ratio 1: 2. The ratio of their radii is:

(a) √2 : 1

(b) 2: 1

(c) 1 : 2

(d) 1 : 4

Q859. A metallic hemi sphere 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 = 2R

(b) H = 2/3 R

(c) H = √3R

(d) B = 3R

Q860. The breadth of a rectangular hall is three-fourths of its length. If the area of the floor is 768 sq. m. then the difference between the length and breadth of the hall is:

(a) 8 metres

(b)12 metres

(c) 24 metres

(d) 32 metres

Q861. The volume of a solid hemisphere is 19404 cm3. Its total surface area is

(a) 4158 cm2

(b) 2858 cm2

(c) 1738 cm2

(d) 2038 cm2

Q862. A bicycle wheel makes 5000 revolutions in moving 141 km. Then the radius of the wheel (in cm) is (Take π = 22/7)

(a) 70

(b) 35

(c) 17.5

(d) 140

Q863. A bicycle wheel makes 5000 revolutions in moving 11 km. The diameter of the wheel, in cm, is

(a) 35

(b) 55

(c) 65

(d) 70

Q864. The total surface area of a metallic hemisphere is 1848 cm2. The hemisphere is melted to form a solid right circular cone. If the radius of the base of the cone is the same as the radius of the hemisphere, its  height is

(a) 42 cm

(b) 26 cm

(c) 28cm

(d) 30 cm

Q865. The volume of a right circular cone is 1232 cm3 and its vertical height is 24 cm. Its curved surface area is

(a) 154 cm2

(b) 550 cm2

(c) 604 cm2

(d) 704 cm2

Q866. The wheel of a motor car makes 1000 revolutions in moving 440 m. The diameter (in metre) of the wheel is

(a) 0.44

(b) 0.14

(c) 0.24

(d) 0.34

Q867. The lateral surface area of a cylinder is 1056 cm2 and its height is 16 cm. Find its volume.

(a) 4545 cm3

(b) 4455 cm3

(c) 5445 cm3

(d) 5544 cm3

Q868. The area of the four walls of a room is 660 m2 and its length is twice its breadth. If the height of the room is 11m, then area of its floor (in m2) is

(a) 120

(b) 150

(c) 200

(d) 330

Q869. If the area of the base of a cone is 770 cm2 and the area of the curved surface is 814 cm2 then its volume (in cm3) is:

(a) 213√5

(b) 392√5

(c) 550√5

(d) 616√5

Q870. The volume of the metal of a cylindrical pipe is 748 cm3. The length of the pipe is 14 cm and its external radius is 9 cm. its thickness is (Taken π = 22/7)

(a) 1 cm

(b) 5.2 cm

(c) 2.3 cm

(d) 3.7 cm

Q871. The radius of the base of a conical tent is 16 metre. If 427 3/7 sq. metre canvas is required to construct the tent, then the slant height of the tent is:(Taken π = 22/7)

(a) 17 metre

(b) 15 metre

(c) 19 metre

(d) 8.5 metre

Q872. A solid cylinder has total surface area of 462 sq.cm. Its curved surface area is 1/3 of the total surface area. Then the radius of the cylinder is

(a) 7 cm

(b) 3.5 cm

(c) 9 cm

(d) 11 cm

Q873. The curved surface area of a cylindrical pillar is 264 sq.m. and its volume is 924 cu.m. The ratio of its diameter to height is:

(a) 3 : 7

(b) 7 : 3

(c) 6 : 7

(d) 7 : 6

Q874.Water flows into a tank which is 200m long and 150m wide. through a pipe of cross-section 0.3m × 0.2m at 20km/hour. Then the time(in hours) for the water level in the tank to reach 8m is

(a) 50

(b) 120

(c) 150

(d) 200

Q875. A hall 25 metres long  and 15 metres broad is surrounded by a verandah of uniform width of 3.5 metres. The cost of flooring the verandah, at Rs. 27.50 per square metre is

(a) Rs. 9149.50

(b) Rs. 8146.50

(c) Rs. 9047.50

(d) Rs. 4186.50

Q876. The perimeter of a semicircular path is 36 m. Find the area of this semicircular path.

(a) 42 sq. m

(b) 54 sq. m

(c) 63 sq. m

(d) 77 sq. m

Q877. If the perimeter of a right-angled triangle is 56 cm and area of the triangle is 84 sq.cm, then the length of the hypotenuse is (in cm)

(a) 25

(b) 50

(c) 7

(d) 24

Q878. If the area of a rectangle be (x2 + 7x + 10) sq. cm, then one of the possible perimeters of it is

(a) (4x + 14) cm

(b) (2x + 14) cm

(c) (x + 14) cm

(d) (2x + 7) cm

Q879. A solid sphere of 6 cm diameter is melted and recast into 8 solid spheres of equal volume. The radius (in cm) of each small sphere is

(a) 1.5

(b) 3

(c) 2

(d) 2.5

Q880. The length of each edge of a regular tetrahedron is 12 cm. The area (in sq. cm) of the total surface of the tetrahedron is

(a) 288√3

(b) 144√3

(c) 108√3

(d) 144√3

Q881. The area of an equilateral triangle is 4√3 sq. cm. Its perimeter is

(a) 12 cm

(b) 6 cm

(c) 8 cm

(d) 3√3 cm

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