**SSC Mathematics Topic Wise Solved Papers – Mensuration**

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

**1. An equilateral triangle of side 6 cm has its corners cut off to form a regular hexagon. Area (in cm ^{2}) of this regular hexagon (SSC CGL 1st Sit. 2010)**

**2. The length (in metres) of the longest rod that can be put in a room of dimensions 10m 10m omis (SSC CGL 1st Sit. 2010)**

(a) 15√3

(b) 15

(c) 10√2

(d) 5√3

**3. If the circumference of a circle is decreased by 50% then the percentage of decrease in its area is (SSC CGL 1st Sit. 2010)**

(a) 25

(b) 50

(c) 60

(d) 75

**4. If each side of a square is increased by 10%, its area will be increased by (SSC CGL 2nd Sit. 2010)**

(a) 10%

(b) 21%

(c) 44%

(d) 100%

**5. A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is (SSC CGL 2nd Sit. 2010)**

(a) 2.5

(b) 3

(c) 3.5

(d) 4

**6. The ratio of the radii of two wheels is 3 :4. The ratio of their circumferences is (SSC CGL 2nd Sit. 2010)**

(a) 4:3

(b) 3:4

(c) 2:3

(d) 3:2

**7. If the length of a rectangle is increased by 10% and its breadth is decreased by 10%, the change in its area will be (SSC CGL 2nd Sit. 2010)**

(a) 1% increase

(b) 1% decrease

(c) 10% increase

(d) No change

**8. A copper wire is bent in the shape of a square of area 81 cm ^{2}. If the same wire is bent form of a semicircle, the radius (in cm) of the semicircle is (SSC CGL 1st Sit. 2011)**

(Take π = 22/7)

(a) 16

(b) 14

(c) 10

(d) 7

**9. The volume (in m ^{3}) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is (SSC CGL 1st Sit. 2011)**

(a) 75

(b) 750

(c) 7500

(d) 75000

**10. A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water (in litres) will fall into the sea in a minute? (SSC CGL 1st Sit. 2011)**

(a) 4,00,000

(b) 40,00,000

(c) 40,000

(d) 4,000

**11. A bicycle wheel makes 5000 revolutions in moving 11 km. Then the radius of the wheel (in cm) is (SSC CGL 1st Sit. 2011) ****(Take π = 22/7)**

(a) 70

(b) 35

(c) 17.5

(d) 140

**12. The perimeter of a triangle is 40cm and its area is 60 cm2. If the largest side measures 17cm, then the length (in cm) of the smallest side of the triangle is (SSC CGL 1st Sit. 2011)**

(a) 4

(b) 6

(c) 8

(d) 15

**13. A copper wire is bent in the form of square with an area of 121 cm ^{2}. It the same wire is bent in the form of a circle, the radius (in cum) of the circle is (Take π = 22/7) (SSC CGL 2nd Sit. 2011)**

(a) 7

(b) 10

(c) 11

(d) 14

**14. The areas of three consecutive faces of a cuboid are 12 cm2, 20 cm ^{2} and 15 cm^{2}, then the volume (in cm^{3}) of the cuboid is (SSC CGL 2nd Sit. 2011)**

(a) 3600

(b) 100

(c) 80

(d) 60

**15. Water is flowing at the rate of 5 km/h through a pipe of diameter 14cm into a rectangular tank which is 50 m long, 44m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is (SSC CGL 2nd Sit. 2011)**

**16. The wheel of a motor car makes 1000 revolutions in moving 440 m. The diameter (in metre) of the wheel is (SSC CGL 2nd Sit. 2011)**

(a) 0.44

(b) 0.14

(c) 0.24

(d) 0.34

**17. The sides of a triangles are in the ratio 2:3:4. the perimeter of the triangle is 18cm. The area (in cm ^{2}) of the triangle is (SSC CGL 2nd Sit. 2011)**

(a) 9

(b) 36

(c) √42

(d) 3√15

**18. The base of a triangle is 2 cm more than twice its altitude. If the area is 12 sq. cm, its altitude will be (SSC Sub. Ins. 2012)**

(a) 6 cm

(b) 5 cm

(c) 4cm

(d) 3cm

**19. ABCDEF is a regular hexagon of side 2 feet. The area, in square feet of the rectangle BCEF is (SSC Sub. Ins. 2012)**

(a) 4

(b) 4√3

(c) 8

(d) 4+ 4√3

**20. The area of a semi-circular field is 308 sq. m; then taking π = 22/7 the length of the railing to surround it has to be (SSC Sub. Ins. 2012)**

(a) 44 m

(c) 88 m

(b) 72 m

(d) 80 m

**21. Volume of a right circular cone is numerically equal to its**

**22. If the numerical value of the volume of a right circular cylinder and ifs curved surface area are equal, then its radius is (SSC Sub. Ins. 2012)**

(a) 2 units

(b) 4 units

(c) 3 units

(d) 6 units

**23. The volume of a cubical box is 3.375 cubic meters. The length of edge of the box is: (SSC CHSL 2012)**

(a) 75 cm

(b) 1.5 m

(c) 1.125m

(d) 2.5m

**24. The length of a minute hand of a clock is 7 cm. The area swept by the minute hand in 30 minutes is: (SSC CHSL 2012)**

(a) 210 sq.cm

(b) 154 sq.cm

(c) 77 sq. cm

(d) 147 sq. cm

**25. The circumference of the base of a 16 cm height solid cone is 33 cm. What is the volume of the cone in cm3 ? (SSC CHSL 2012)**

(a) 1028

(b) 616

(c) 462

(d) 828

**26. Diagonal of a cube is 6√3 cm. Ratio of its total surface areaand volume (numerically) is: (SSC CHSL 2012)**

(a) 2:1

(b) 1:6

(c) 1:1

(d) 1:2

**27. The ratio of the edges of rectangular parallelopiped is 1:2:3 and its volume is 1296 cubic cm. The area of the whole surface in sq. cm is: (SSC CHSL 2012)**

(a) 696

(b) 792

(c) 824

(d) 548

**28. The perimeter of a semi-circular area is 18 cm, then the radius The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres. The ratio of their inner radii is (SSC CGL 1st Sit. 2012)**

**29. The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres. The ratio of their inner radii is (SSC CGL 1st Sit. 2012)**

(a) 4:9

(b) 16:81

(c) √2:√3

(d) 2:3

**30. The area of the largest triangle that can be inscribed in a semicircle of radius x in square units is: SSC CGL 2nd Sit. 2012)**

(a) 4

(b)

(c) 2×2

(d) 3×2

**31. A rectangular garden is 100 m x 80 m. There is a path along the garden and just outside it. Width of path is 10 m. The area of the path is (SSC CGL 1st. Sit. 2012)**

(a) 1900 sq m

(b) 2400 sq m

(c) 3660 sq m

(d) 4000 sq m

**32. A metal pipe of negligible thickness has radius 21 cm and length 90 cm. The outer curved surface area of the pipe in square cm is (SSC CGL 2nd Sit. 2012)**

(a) 11880

(b) 11680

(c) 11480

(d) 10080

**33. The length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the square by: (SSC CHSL 2012)**

(a) 46%

(b) 66%

(c) 42%

(d) 56%

**34. The ratio of inradius and circumradius of a square is: (SSC CGL 1st Sit. 2013)**

(a) 1:2

(b) 1:√2

(c) √2:√3

(d) 1:3

**35. The perimeter of the base of a right circular cone is 8 cm. If the height of the cone is 21 cm, then its volume is : (SSC CGL 1st Sit. 2013)**

**36. A circular road runs around a circular ground. If the difference between the circumferences of the outer circle and the inner circle is 66 metres, the width of the road is : (Take π = 22/7) (SSC CGL 1st Sit.2013)**

(a) 21 metres

(b) 10.5 metres

(c) 7 metres

(d) 5.25 metres

**37. A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square is (SSC Multitasking 2013)**

(a) 3√3:1

(b) √3:4

(c) √3:8

(d) 3√3:2

**38. If the sum of the length, breadth and height of a rectangular parallelopiped is 24 cm and the length of its diagonal is 15 cm, then its total surface area is (SSC Multitasking 2013)**

(a) 351 cm^{2}

(b) 256 cm^{2}

(c) 265 cm^{2}

(d) 315 cm^{2}

**39. A solid right circular cylinder and a solid hemisphere stand on equal bases and have the same height. The ratio of their whole surface areas is: (SSC Sub. Ins. 2013)**

(a) 3:2

(b) 3:4

(c) 4:3

(d) 2:3

**40. If area of an equilateral triangle is a and height b, then value (SSC Sub. Ins. 2013)**

**41. A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. The length of the wire, in metre, is: (SSC Sub. Ins. 2013)**

(a) 2.43

(b) 243

(c) 2430

(d) 24.3

**42. Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long it lake to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm? (SSC Sub. Ins. 2013)**

(a) 28 minutes 48 seconds

(b) 51 minutes 12 seconds

(c) 51 minutes 24 seconds

(d) 28 minutes 36 seconds

**43. Three circles of equal radius ‘a’ cm touch each other. The area of the shaded region**

**44. A godown is 15 m long and 12 m broad. The sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls. The volume (in m ^{3}) of the godown is: (SSC Sub. Ins. 2013)**

(a) 900

(b) 1200

(c) 1800

(d) 720

**45. If the volumes of two right circular cones are in the ratio 4:1 and their diameters are in the ratio 5 : 4 then the ratio of their heights is: (SSC Sub. Ins. 2013)**

(a) 25:16

(b) 25:64

(c) 64:25

(d) 16:25

**46. The base of a right pyramid is an equilateral triangle of side 10√3 cm. If the total surface area of the pyramid is 270√3 sq. cm, its height is (SSC CHSL 2013)**

(a) 12 cm

(b) 12√3 cm

(c) 10 cm

(d) 10√3 cm

**47. The volumes of a cylinder and a cone are in the ratio 3:1. Find their diameters and then compare them when their heights are equal. (SSC CHSL 2013)**

(a) Diameter of cylinder < Diameter of cone

(b) Diameter of cylinder = 2 times of diameter of cone

(c) Diameter of cylinder = Diameter of cone

(d) Diameter of cylinder > Diameter of cone

**48. A square of side 3 cm is cut off from each corner of a rectangular sheet of length 24 cm and breadth 18 cm and the remaining sheet is folded to form an open rectangular box. The surface area of the box is (SSC CHSL 2013)**

(a) 423 cm^{2}

(b) 468 cm^{2}

(c) 396 cm^{2}

(d) 612 cm^{2}

**49. The sides of a triangle are 16 cm, 12 cm and 20 cm. Find the area (SSC CHSL 2013)**

(a) 81 cm^{2}

(b) 64 cm^{2}

(c) 112 cm^{2}

(d) 96 cm^{2}

**50. What is the height of a cylinder that has the same volume and radius as a sphere of diameter 12 cm? (SSC CHSL 2013)**

(a) 8 cm

(b) 7 cm

(c) 10 cm

(d) 9 cm

**51. The volume of air in a room is 204 m ^{3}. The height of the room is 6 m. What is the floor area of the room? (SSC CHSL 2013)**

(a) 34 m2

(b) 32 m2

(c) 46 m2

(d) 44 m2

**52. If the total surface area of a cube is 96 cm ^{2}, its volume is (SSC CHSL 2013)**

(a) 36 cm

^{3}

(b) 56 cm

^{3}

(c) 16 cm

^{3}

(d) 64 cm

^{3}

**53. The length and breadth of a rectangle are doubled. Percentage increase in area is (SSC CHSL 2013)**

(a) 400%

(b) 150%

(c) 200%

(d) 300%

**54. The base of a right prism is a triangle whose perimeter is 28 cm and the inradius of the triangle is 4 cm. If the volume of the prism is 366 cc, then its height is (SSC CHSL 2013)**

(a) 4 cm

(b) 8 cm

(c) 6 cm

(d) None of these

**55. A square ABCD is inscribed in a circle of unit radius. Semicircles are described on each side as a diameter. The area of the region bounded by the four semicircles and the circle is (SSC CGL 2nd Sit. 2013)**

(a) 1 sq. unit

(b) 2 sq. unit

(c) 1.5 sq. unit

(d) 2.5 sq. unit

**56. If the perimeters of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2 then the ratio of area of the rectangle and that of the square is (SSC CGL 2nd Sit. 2013)**

(a) 1:1

(b) 1:2

(c) 2:3

(d) 8:9

**57. A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope stretched and describes 88 metres when it has traced out 72° at the centre the length of the rope is (SSC CGL 2nd Sit. 2013)**

(a) 70 m

(b) 75 m

(c) 80 m

(d) 65 m

**58. The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the areas of the smaller circle and the larger circle is (SSC CGL 1st Sit. 2013)**

(a) √2:√3

(b) 1:√2

(c) 1:2

(d) 1:4

**59. The total surface area of a sphere is 8 it square unit. The volume of the sphere is (SSC CGL 1st Sit. 2013)**

**60. A conical flask is lull of water. The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius mr. The height of water in the cylindrical flask is (SSC CGL 1st Sit. 2013) 70.**

**61. A square is inscribed in a circle of radius 8 cm. The area of the square is (SSC CGL 1st Sit. 2013)**

(a) 16 square cm

(b) 64 square cm

(c) 128 square cm

(d) 148 square cm

**62. The biggest possible circle is inscribed in a rectangle of length 16 cm and breadth 6 cm. Then its area is (SSC CGL 1st Sit. 2013)**

(a) 3 π cm^{2}

(b) 47 π cm^{2}

(c) 57 π cm^{2}

(d) 97 π cm^{2}

**63. If the diagonal of a square is doubled, then its area will be (SSC CGL 1st Sit. 2013)**

(a) three times

(b) four times

(c) same

(d) none of these

**64. The difference of perimeter and diameter of a circle is X unit. The diameter of the circle is (SSC CGL 1st Sit. 2013)**

**65. The perimeter of the base of a right circular cylinder is ‘a’ unit, if the volume of the cylinder is V cubic unit, then the height of the cylinder is (SSC CGL 1st Sit. 2013)**

**66. A sphere of diameter 6 cm is dropped in a right circular cycindrical vessel partly filled with water. The diameter of the Cylindrical vessel is 12 cm. If the sphere is just completely submerged in water, then the rise of water level in the cylindrical vessel is (SSC CGL 1st Sit. 2013)**

(a) 2 cm

(b) 1 cm

(c) 3 cm

(d) 4 cm

**67. The length and breadth of a rectangle are 20 m and 15 m respectively. If length is increased by 20% and the breadth by 30%, the percentage increase in its area is (SSC Multitasking 2014)**

(a) 54%

(b) 56%

(c) 50%

(d) 52%

**68. Length of each equal side of an isosceles triangle is 10 cm and the included angle between those two sides is 45°. Find the area of the triangle. (SSC Multitasking 2014)**

(a) 25√2 cm^{2}

(b) 35√2 cm^{2}

(c) 5√2 cm^{2}

(d) 15√2 cm^{2}

**69. A spherical ball oflead ofradius 14 cm is melted and recast into spheres of radius 2 cm. The number of the small spheres is (SSC Multitasking 2014)**

(a) 300

(b) 525

(c) 343

(d) 450

**70. The radius of a right circular cone is 3 cm and its height is 4 cm. The total surface area of the cone is (SSC Sub. Ins. 2014)**

(a) 48.4 sq.cm

(b) 64.4 sq.cm

(c) 96.4 sq.cm

(d) 75.4 sq.cm

**71. A wooden box of dimension 8 metre x 7 metre x 6 metre is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes that can be carried in 1 wooden box is (SSC Sub. Ins. 2014)**

(a) 7500000

(b) 9800000

(c) 1200000

(d) 1000000

**72. Two circular cylinders of equal volume have their heights in the ratio 1:2; Ratio of their radii is (Take π = 22/7) (SSC Sub. Ins. 2014)**

(a) 1:4

(b) 1:√2

(c) √2 :1

(d) 1:2

**73. A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The volume (in cm ^{3}) of the cylinder so formed is (Take π = 22/7) (SSC Sub. Ins. 2014)**

(a) 562

(b) 412

(c) 462

(d) 362

**74. A sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, the volume of the cylinder is **

**75. Area of a regular hexagon with side ‘a’ is (SSC CHSL 2014)**

**76. If the sum of the dimensions of a rectangular parallelepiped is 24 cm and the length of the diagonal is 15 cm, then the total surface area of it is (SSC CHSL 2014)**

(a) 420 cm2

(b) 275 cm2

(c) 351 cm2

(d) 378 cm2

**77. A flask in the shape of a right circular cone of height 24 cm is filled with water. The water is poured in a right circular cylindrical flask whose radius is 1/3 rd of the radius of the base of the circular cone. Then the height of the water in the cylindrical flask is (SSC CHSL 2014)**

(a) 32 cm

(b) 24 cm

(c) 48 cm

(d) 72 cm

**78. 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)**

(a) 4 hours 60 minutes

(b) 4 hours 50 minutes

(c) 6 hours 40 minutes

(d) 5 hours 40 minutes

**79. 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)**

(a) 5.52m

(b) 5.25m

(c) 2.55 m

(d) 2.25 m

**80. 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)**

**81. 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)**

(a) 4:1

(b) 4:3

(c) 3:4

(d) 1:4

**82. 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)**

(a) 93.14 cm

^{2}

(b) 90.14 cm

^{2}

(c) 83.14 cm

^{2}

(d) 39.14 cm

^{2}

**83. 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 (SSCCGL 2014)**

(a) 1:5

(b) 4:5

(c) 4:25

(d) 16:25

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

**85. The perimeter of a sheet of paper in the shape of a quadrant (Take π = 22/7) (SSC Sub. Ins. 2015)**

(a) 346.5 cm2

(b) 100 cm2

(c) 693 cm2

(d) 512.25 cm2

**86. 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)**

(a) 50%

(b) 25%

(c) 66%

(d) 33.33%

**87. 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)**

(a) 10 cm

(b) 15 cm

(c) 25 cm

(d) 20 cm

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

(a) 400 cm^{2}

(b) 289.75 cm^{2}

(c) 225 cm^{2}

(d) 226.08 cm^{2}

**89. 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)**

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

(a) 13.6 cm3

(b) 121 cm3

(c) 147.68 cm3

(d) 89.8 cm3

**91. 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)**

(a) ₹ 77660

(b) ₹ 76760

(c) ₹ 66760

(d) ₹ 67760

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

(a) 2100 cm

^{2}

(b) 2500 cm

^{2}

(c) 1437 cm

^{2}

(d) 1225 cm

^{2}

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

(a) 100 cm^{3}

(b) 125 cm^{3}

(c) 400 cm^{3}

(d) 625 cm^{3}

**94. 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)**

**95. 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)**

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

(a) 4 cm

(b) 2 cm

(c) 3 cm

(d) 6 cm

**97. 5 persons will live in a tent. If each person requires 16m2 of floor area and 100 m ^{3} space for air then the height of the cone of smallest size to accomodate these persons would be? (SSCCGL 1st Sit. 2015)**

(a) 18.75 m

(b) 16 m

(c) 10.25 m

(d) 20 m

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

(a) 972 π

(b) 11664 π

(c) 36 π

(d) 288 π

**99. 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)**

(a) 190 c. units

(b) 380c.units

(c) 540c.units

(d) 570c.units

**100. 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)**

(a) 19 cm

(b) 21 cm

(c) 23 cm

(d) 25 cm

**101. 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)**

(a) 20%

(b) 20.5%

(c) 62%

(d) 72.8%

**102. 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)**

(a) √2:3

(b) 2√2:3

(c) 3: 2√2

(d) 3 : √2

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

(a) 2:1

(b) 1:2

(c) 1:3

(d) 1:4

**104. 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)**

(a) 36000

(b) 27000

(c) 90000

(d) 40000

**105. 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)**

(a) 289

(b) 361.5

(c) 481.25

(d) 962.5

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

(a) 616

(b) 308

(c) 462

(d) 636

**107. 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)**

(a) 12

(b) 14

(c) 16

(d) 28

**108. If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same? (SSC CGL 2017)**

(a) 36

(b) 56

(c) 64

(d) 46

**109. The total surface area ofa hemisphere is 166.32 sq cm, find its radius? (SSCCHSL 2017)**

(a) 4.2 cm

(b) 8.4 cm

(c) 1.4 cm

(d) 2.1cm

**110. A sphere has a total surface area 9 K cm ^{2}. Its volume is: (SSC MTS 2017)**

**111. If diagonals of a rhombus are 16 cm and 30 cm. then what is the perimeter (in cm) of the rhombus? (SSC Sub. Ins. 2017)**

(a) 32

(b) 64

(c) 34

(d) 68

**112. The ratio of curved surface area of two cones is 1 :4 and the ratio of slant height of the two cones is 2 : 1. What is the ratio of the radius of the two cones? (SSC Sub. Ins. 2017)**

(a) 1:2

(b) 1:4

(c) 1:8

(d) 1:1

**113. Radius of hemisphere is twice that of a sphere. What is the ratio of total surface area of hemisphere and sphere? (SSC Sub. Ins. 2017)**

(a) 3:1

(b) 12:1

(c) 4:1

(d) 6:1

**114. A solid cylinder having radius of base as 7 cm and length as 20 cm is bisected from its height to get two identical cylinders. What will be the percentage increase in the total surface area? (SSC Sub. Ins. 2017)**

(a) 29.78

(b) 25.93

(c) 27.62

(d) 32.83

**115. If the perimeter of a rhombus is 80 cm and one of its diagonal is 24 cm, then what is the area (in cm ^{2}) of the rhombus? (SSC Sub. Ins. 2017)**

(a) 218

(b) 192

(c) 384

(d) 768

**Hints & Solutions**

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