Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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71.

A solid sphere and a solid hemisphere have the same total surface area. The the ratio of their volume is

  • square root of 3 space colon space 4
  • 3 square root of 3 space colon space 4
  • 2 square root of 3 space colon space 3
  • 2 square root of 3 space colon space 3


B.

3 square root of 3 space colon space 4

Total surface area of sphere = 4 πR squared
Total surface area of hemisphere = 3 πr squared
4 πR squared space equals space 3 πr squared
rightwards double arrow space space space straight R squared over straight r squared space equals space 3 over 4
rightwards double arrow space space space straight R over straight r space space equals space fraction numerator square root of 3 over denominator 2 end fraction

therefore space space fraction numerator Volume space of space sphere over denominator space Volume space of space hemisphere end fraction space equals space fraction numerator begin display style 4 over 3 end style πR cubed over denominator begin display style 2 over 3 end style πr cubed end fraction space equals space fraction numerator 2 straight R cubed over denominator straight r cubed end fraction
        equals space fraction numerator 2 left parenthesis square root of 3 right parenthesis cubed over denominator left parenthesis 2 right parenthesis cubed end fraction space equals space fraction numerator 2 space cross times space 3 square root of 3 over denominator 8 end fraction space equals space fraction numerator 3 square root of 3 over denominator 4 end fraction space equals space 3 square root of 3 space colon space 4

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72.

The pie graph indicates the breakup of the cost of construction of a house. Assuming that the total cost of construction is ₹ 6,00,000/-, answer the following questions.

The pie graph indicates the breakup of the cost of construction of a h

The amount spent on timber is

  • ₹ 60,000/-
  • ₹ 2,00,000/-
  • ₹ 30,000/-
  • ₹ 30,000/-
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73.

The pie graph indicates the breakup of the cost of construction of a house. Assuming that the total cost of construction is ₹ 6,00,000/-, answer the following questions.

The pie graph indicates the breakup of the cost of construction of a h

The amount spent on labour exceeds the amount spent on supervision by

  • ₹ 1,00,000/-
  • ₹ 1,20,000/-

  • ₹ 60,000/-

  • ₹ 60,000/-

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74.

The pie graph indicates the breakup of the cost of construction of a house. Assuming that the total cost of construction is ₹ 6,00,000/-, answer the following questions.

The pie graph indicates the breakup of the cost of construction of a h

The amount spent on labour exceeds the amount spent on steel by:

  • 10% the total cost

  • 11% of the total cost

  • 13% of the total cost

  • 13% of the total cost

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75.

The pie graph indicates the breakup of the cost of construction of a house. Assuming that the total cost of construction is ₹ 6,00,000/-, answer the following questions.

The pie graph indicates the breakup of the cost of construction of a h

The percentage of the total cost of construction spent on cement, steel and supervision is

  • 50%

  • 55%

  • 60%

  • 60%

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