## 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 Δ****ADC 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 88cm ^{2}. The volume of the cuboid is: **

a) 120cm^{3}

(b) 64cm^{2}

(c) 48cm^{2}

(d) 24cm^{2}

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

(a) 8.5cm^{2}

(b) 8.75cm^{2}

(c) 7.75cm^{2}

(d) 7.50cm^{2}

**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 cm ^{2} . 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) a^{2}/2

(d) a^{2}/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 cm ^{3}. Its total surface area is**

(a) 4158 cm^{2}

(b) 2858 cm^{2}

(c) 1738 cm^{2}

(d) 2038 cm^{2}

**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 cm ^{2}. 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 cm ^{3} and its vertical height is 24 cm. Its curved surface area is**

(a) 154 cm^{2}

(b) 550 cm^{2}

(c) 604 cm^{2}

(d) 704 cm^{2}

**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 cm ^{2} and its height is 16 cm. Find its volume.**

(a) 4545 cm^{3}

(b) 4455 cm^{3}

(c) 5445 cm^{3}

(d) 5544 cm^{3}

**Q868. The area of the four walls of a room is 660 m ^{2} and its length is twice its breadth. If the height of the room is 11m, then area of its floor (in m^{2}) is**

(a) 120

(b) 150

(c) 200

(d) 330

**Q869. If the area of the base of a cone is 770 cm ^{2} and the area of the curved surface is 814 cm^{2} then its volume (in cm^{3}) 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 cm ^{3}. 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 20****km/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 (x ^{2} + 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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