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SSC CGL Previous Year Questions: Mensuration - 2 - Question 1

Three solid spheres of radius 3 cm, 4 cm, and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area? (SSC CGL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 1

SSC CGL Previous Year Questions: Mensuration - 2 - Question 2

If the diameter of a sphere is 14 cm, then what is the surface area (in cm^{2}) of the sphere? (SSC CGL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 2

SSC CGL Previous Year Questions: Mensuration - 2 - Question 3

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm^{2}) in the total surface area? (SSC CGL 2017)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 3

SSC CGL Previous Year Questions: Mensuration - 2 - Question 4

A cylindrical rod of radius 30 cm and length 40 cm is melted and made into spherical balls of radius 1 cm. The number of spherical balls is (SSC Sub. Ins. 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 4

SSC CGL Previous Year Questions: Mensuration - 2 - Question 5

The radii of the base of a cylinder and a cone are equal and their volumes are also equal. Then the ratio of their heights is (SSC Sub. Ins. 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 5

SSC CGL Previous Year Questions: Mensuration - 2 - Question 6

The curved surface area of a cylinder with its height equal to the radius, is equal to the curved surface area of a sphere.

The ratio of volume of the cylinder to that of the sphere is (SSC Sub. Ins. 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 6

SSC CGL Previous Year Questions: Mensuration - 2 - Question 7

The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 7

SSC CGL Previous Year Questions: Mensuration - 2 - Question 8

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 8

SSC CGL Previous Year Questions: Mensuration - 2 - Question 9

The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 9

SSC CGL Previous Year Questions: Mensuration - 2 - Question 10

The area of the largest sphere (in cm^{2}) that can be drawn inside a square of side 18 cm is (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 10

SSC CGL Previous Year Questions: Mensuration - 2 - Question 11

5 persons will live in a tent. If each person requires 16m^{2} of floor area and 100 m^{3} space for air then the height of the cone of smallest size to accommodate these persons would be? (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 11

SSC CGL Previous Year Questions: Mensuration - 2 - Question 12

If the volume of a sphere is numerically equal to its surface area then its diameter is: (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 12

SSC CGL Previous Year Questions: Mensuration - 2 - Question 13

A square is inscribed in a quarter–circle in such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the centre, while the other two vertices lie on the circular arc. If the square has sides of length x, then the radius of the circle is (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 13

SSC CGL Previous Year Questions: Mensuration - 2 - Question 14

If the area of a circle is A, radius of the circle is r and circumference of it is C, then (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 14

SSC CGL Previous Year Questions: Mensuration - 2 - Question 15

The perimeter of one face of a cube is 20 cm. Its volume will be (SSC CGL 1st Sit. 2015)

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SSC CGL Previous Year Questions: Mensuration - 2 - Question 16

The surface area of a sphere is 616 cm^{2}. The volume of the sphere would be: (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 16

SSC CGL Previous Year Questions: Mensuration - 2 - Question 17

The outer circumference of a circular race–track is 528 metre. The track is everywhere 14 metre wide. Cost of levelling the track at the rate of ₹ 10 per sq. metre is: (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 17

SSC CGL Previous Year Questions: Mensuration - 2 - Question 18

The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm? (Use π = 22/7) (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 18

SSC CGL Previous Year Questions: Mensuration - 2 - Question 19

If water is freezed to become ice, its volume is increased by 10%, then if the ice is melted to water again, its volume will be decreased by: (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 19

SSC CGL Previous Year Questions: Mensuration - 2 - Question 20

A hemispherical bowl has internal radius of 6 cm. The internal surface area would be: (take π = 3.14) (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 20

SSC CGL Previous Year Questions: Mensuration - 2 - Question 21

The length of two parallel sides of a trapezium are 15 cm and 20 cm. If its area is 175 sq. cm, then its height is: (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 21

SSC CGL Previous Year Questions: Mensuration - 2 - Question 22

If the base of right prism remains same and the measures of the lateral edges are halved, then its volume will be reduced by: (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 22

SSC CGL Previous Year Questions: Mensuration - 2 - Question 23

The perimeter of a sheet of paper in the shape of a quadrant of a circle is 75 cm. Its area would be (π = 22/7) (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 23

SSC CGL Previous Year Questions: Mensuration - 2 - Question 24

The total surface area of a regular triangular pyramid with each edges of length 1cm is: (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 24

SSC CGL Previous Year Questions: Mensuration - 2 - Question 25

A vessel full of pure acid contains 10 litres of it, of which 2 litres are withdrawn. The vessel is then filled with water. Next 2 litres of the mixture are withdrawn, and again the vessel is filled up with water. The ratio of the acid left in the vessel with that of the original quantity is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 25

SSC CGL Previous Year Questions: Mensuration - 2 - Question 26

A wire is bent into the form of a circle, whose area is 154 cm^{2}. If the same wire is bent into the form of an equilateral triangle, the approximate area of the equilateral triangle is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 26

SSC CGL Previous Year Questions: Mensuration - 2 - Question 27

There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. The ratio of their radii is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 27

SSC CGL Previous Year Questions: Mensuration - 2 - Question 28

The base of a right pyramid is an equilateral triangle of side 4 cm each. Each slant edge is 5 cm long. The volume of the pyramid is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 28

SSC CGL Previous Year Questions: Mensuration - 2 - Question 29

The external fencing of a circular path around a circular plot of land is 33 m more than its interior fencing. The width of the path around the plot is (SSC CHSL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 29

SSC CGL Previous Year Questions: Mensuration - 2 - Question 30

The area of a square park is 25 sq. km. The time taken to complete a round of the field once, at a speed of 3 km/hour is (SSC CHSL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Mensuration - 2 - Question 30

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