A spherical lead ball of radius 6 cm is melted and small lead bal

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

101.

The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2 : 1. The ratio of their volume is

  • 4 : 3

  • 3 : 4

  • 2 : 1

  • 1 : 2

59 Views

Advertisement

102.

A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is:

  • 4250

  • 4000

  • 8005

  • 8000


D.

8000

Total number of possible small lead balls:
            equals space fraction numerator begin display style 4 over 3 end style straight pi left parenthesis 6 right parenthesis cubed over denominator begin display style 4 over 3 end style straight pi open parentheses begin display style 3 over 10 end style close parentheses cubed end fraction
equals space fraction numerator 6 space cross times space 6 space cross times space 6 space cross times space 10000 over denominator 3 space cross times space 3 space cross times space 3 end fraction
equals space 8000

80 Views

Advertisement
103.

If 4 straight r space equals space straight h space plus space square root of straight r squared plus straight h squared end root  then r : h is left parenthesis straight r not equal to 0 right parenthesis

  • 17 : 8

  • 8 : 17

  • 8 : 15

  • 15 : 8


104.

The length (in metres) of the longest rod that can be put in a room of dimensions 10 m x 10 m x 5 m is

  • 15 square root of 3

  • 15

  • 10 square root of 2

  • 5 square root of 3

41 Views

Advertisement
105.

The volume (in m3) of rain water that can be collected from 1.5 hect of ground in a rainfall of 5 cm is

  • 75

  • 750

  • 7500

  • 75000

36 Views

106.

A river 3 m deep and 40 m wide is flowing at the rate of 2 km/h. How much water (in litres) will fall into the sea in a minute?

  • 400000

  • 4000000

  • 40000

  • 4000

37 Views

107.

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

  • 1 space colon square root of 2

  • square root of 2 space colon space 1

  • 1 : 2

  • 2 : 1

55 Views

108.

Marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it, if the water rises by 5.6 cm.

  • 50

  • 150

  • 250

  • 350

30 Views

Advertisement
109.

Water is flowing at the rate of 3 km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled?

  • 1 h

  • 1 h 40 min

  • 1 h 20 min

  • 2 h 40 min

33 Views

110.

The total surface area of a sphere is 8 straight pi square unit. The volume of the sphere is

  • 8 divided by 3 space straight pi cu unit.

  • 8 square root of 3 space straight pi space cu space unit

  • fraction numerator 8 square root of 3 over denominator 5 end fraction straight pi space cu space unit

  • fraction numerator 8 square root of 2 over denominator 3 end fraction straight pi space cu space unit

30 Views

Advertisement