## 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 cm^{2}

(b) 216 cm^{2}

(c) 432 cm^{2}

(d) 108 cm^{2}

**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 cm ^{3}. 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 cm ^{2}) 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 64πcm ^{2}. 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 m ^{3}, 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/cm ^{3}, 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 cm ^{2}. 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)

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