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Mensuration Part 2: Advance math series 2000 most important questions.

Mensuration Part 2: Advance math series 2000 most important questions. Q601. If the difference between the circumference and diameter of a circumference and diameter of a circle is 30 cm, then the radius of the circle must be

(a) 6 cm

(b) 7 cm

(c) 5 cm

(d) 8 cm

Q602. Some solid metallic right circular cones. Each with radius of the base 3 cm and height 4 cm, are melted to form a solid sphere of radius 6 cm. The number of right circular cones is

(a) 12

(b) 24

(c) 48

(d) 6

Q603. 12 spheres of the same size are made by melting a solid cylinder of 16 cm diameter and 2cm height. The diameter of each sphere is:

(a) 2 cm

(b) 4cm

(c) 3 cm

(d) √3 cm

Q604. The diagonal of a square is 4 cm. The diagonal of another square, whose area is double that of the first square, is

(a) 8√2 cm

(b) 16 cm

(c) √32 cm

(d) 8 cm

Q605. If the area of triangle with base 12 cm is equal to the area of a square with side 12 cm, then the altitude of the triangle is:

(a) 12 cm

(b) 24 cm

(c) 18 cm

(d) 36 cm

Q606. A wire when bent in the form of a square encloses an area of 484 sq cm. What will be the enclosed area when the same wire is bent into the form of a circle?

(a) 462 sq cm.

(b) 539 sq cm.

(c) 616 sq cm.

(d) 693 sq cm.

Q607. A square and an equilateral triangle are drawn on the same base. The ratio of their areas is

(a) 2 : 1

(b) 1 : 1

(c) √3 : 4

(d) 4 : √3

Q608. The volume of cuboid is twice that of a cube. If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is

(a) 72 cm2

(b) 216 cm2

(c) 432 cm2

(d) 108 cm2

Q609. If the areas of a circle and a square are equal, then the ratio of their perimeters is

(a) 1 : 1

(b) 2 : π

(c)  π: 2

(d) √π : 2

Q610. The number of revolutions, a wheel of diameter 40 cm makes in travelling in distance of 176 m, is

(a) 140

(b) 150

(c) 160

(d) 166

Q611. The ratio of the volume of a cube to that of a sphere, which will fit exactly inside the cube, is

(a)  π  : 6

(b) 6 : π

(c) 3 :  π

(d) π  : 3

Q612. The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:

(a) 27 : 20

(b) 20 : 27

(c) 9 : 4

(d) 4 : 9

Q613. The sum of radii of two spheres is 10 cm and the sum of their volumes is 880 cm3. What will be the product of their radii?

(a) 21

(b) 26 (c) 33 (d) 70

Q614. The circumference of a circle is 100 cm. The side of a square inscribed in the circle is

(a) (b) (c) (d) Q615. A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6: 5. The smaller side of the rectangle is

(a) 60 cm

(b) 30 cm

(c) 25 cm

(d) 36 cm

Q616. If the length and breadth of a rectangle are in the ratio 3 : 2 and its perimeter is 20 cm, then the area of the rectangle (in cm2) is:

(a) 24

(b) 48

(c) 72

(d) 96

Q617. The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 5 cm and the breadth is less than the length of the side of the square by 3 cm. The perimeter of the rectangle is:

(a) 17 cm

(b) 26 cm

(c) 30 cm

(d) 34 cm

Q618. When the circumference of a toy ballon is increased from 20 cm to 25 cm, its radius (in cm) is increased by:

(a) 5

(b) 5/π

(c) 5/2π

(d) π/5

Q619. The ratio of the area of a square to that of the square drawn on its diagonal is:

(a) 1 : 1

(b) 1 : 2

(c) 1 : 3

(d)1 : 4

Q620. A hemisphere and a cone have equal bases. If their heights are also equal, the ratio of their curved surfaces will be:

(a) 1: √2

(b) √2  : 1

(c) 1 : 2

(d) 2 : 1

Q621. The surface area of a sphere is 64πcm2. Its diameter is equal to

(a) 16 cm

(b) 8 cm

(c) 4 cm

(d) 2 cm

Q622. If the radius of a circle is increased by 50%, its area is increased by:

(a) 125%

(b) 100%

(c) 75%

(d) 50%

Q623. A bucket contains 2 litres more water when it is filled 80% in comparison when it is filled What is the capacity of bucket?

(a) 10 litres

(b) 15 litres

(c) 66 litres

(d) 20 litres

Q624. The diagonal of a right angle isosceles triangle is 5 cm. Its area will be

(a) 5 sq. cm

(b) 6.25 sq.cm

(c) 6.50 sq.cm

(d) 12.5 sq.cm

Q625. A well 20 m in diameter is dug 14 m deep and the earth taken out is spread all around it to a width of 5m to form an ambankment. The height of the embankment is:

(a) 10m

(b) 11m

(c) 11.2m

(d) 11.5m

Q626. The perimeters of two squares are 40 cm and 32 cm. The perimeter of a third square whose area is the difference of the areas of the two squares is

(a) 24 cm

(b) 42 cm

(c) 40 cm

(d) 20 cm

Q627. The volume of a right circular cylinder, 14 cm in height, is equal to that of a cube whose edge is 11 cm. The radius of the base of the cylinder is

(a) 5.2 cm.

(b) 5.5 cm.

(c) 11.0 cm.

(d) 22.0 cm.

Q628. A cone is cut at mid point of its height by a frustum parallel to its base. The ratio between the two parts of cone would be

(a) 1 : 1

(b) 1 : 8

(c) 1 : 4

(d) 1 : 7

Q629. The length of one side of a rhombus is 6.5 cm and its altitude is 10cm. If the same wire is bent so as to form a circle, then the area enclosed will be:

(a) 5 cm

(b) 10 cm

(c) 6.5 cm

(d) 26 cm

Q630. The total surface areas of a cube and a sphere are equal. What will be the ratio between their volumes?

(a) π : 6

(b) √π : √6

(c) √6 : √π

(d) 6 : π

Q631. If the volume of a right circular cylinder is 9h m3, where h is its height in metres, then the diameter of the base of the cylinder is equal to

(a) 3m

(b) 6m

(c) 9m

(d) 12m

Q632. From a point within an equilateral triangle perpendiculars. Drawn to the three sides, are 6 cm, 7 cm and 8 cm respectively, the length of the side of the triangle is

(a) 7 cm

(b) 10.5 cm

(c) 14√3 cm

(d) 14√3/3 cm

Q633. A soap cake is of size 8 cm × 5 cm × 4cm.  The number of such soap cakes that can be packed in a box measuring 56 cm  × 35 cm × 28 cm is.

(a) 49

(b) 196

(c) 243

(d) 343

Q634. A copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. The length of the wire is:

(a) 9m

(b) 12m

(c) 18m

(d) 36m

Q635. If the volume and surface area of a sphere are numerically the same, then its radius is:

(a) 1 unit

(b) 2 units

(c) 3 units

(d) 4 units

Q636. A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cm3, then the weight of the pipe is

(a) 3.696 kg

(b) 3.6 kg

(c) 36 kg

(d) 36.9 kg

Q637. The sides of a triangle are in the ratio 3 : 4 : 5. The measure of the largest angle of the triangle is

(a) 60°

(b) 90°

(c) 120°

(d) 150°

Q638. If the side of a square is increased by 25%, then its area is increased by 25%, then its area is increased by:

(a) 25%

(b) 55%

(c) 40.5%

(d) 56.25%

Q639. The perimeter of a triangle is 30 cm and its area is 30 cm2. If the largest side measures 13 cm, what is the length of the smallest side of the triangle?

(a) 3 cm

(b) 4 cm

(c) 5 cm

(d) 6 cm

Q640. Each side of a regular hexagon is 1 cm. The area of the hexagon is

(a) (b) (c) (d) Maths