A conical flask is full of water. The flask has base radius

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

101.

A and B together can complete a piece of work in 12 days. B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together it in

  • 6 days

  • 8 days

  • 10 days

  • 12 days

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102.

A and B can complete a work in 3 days. They start together but, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in

  • 4 days

  • 6 days

  • 8 days

  • 10 days

30 Views

103.

A does 20% less work than B. If A can complete a piece of work in 7 1 half straight h comma then B can do it in 

  • 4h

  • 6h

  • 8h

  • 10h

33 Views

104.

A rational number between 3/4 and 3/8 is

  • 7/3

  • 16/9

  • 9/16

  • 1/7

39 Views

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105.

Product of two co-prime numbers is 117. Then their LCM is

  • 9

  • 13

  • 39

  • 117

42 Views

106.

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

  • 1 : 4

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

  • 1 space colon space square root of 2

  • 1 : 2

34 Views

107.

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

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108.

A conical flask is full 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

  • straight h over 2 straight m squared

  • fraction numerator 2 straight h over denominator straight m end fraction

  • fraction numerator straight h over denominator 3 straight m squared end fraction

  • fraction numerator straight m over denominator 2 straight h end fraction


C.

fraction numerator straight h over denominator 3 straight m squared end fraction

Volume of conical flask = Volume of water
                                equals space 1 third πr squared straight h
Now, the water is poured into the cylindrical flask.
Therefore, According to the question,
                Volume of cylinder = Volume of water
            rightwards double arrow space space straight pi left parenthesis mr right parenthesis squared space cross times space Height space equals space 1 third πr squared straight h
therefore space space space space space Height space space equals space fraction numerator straight h over denominator 3 straight m squared end fraction


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109.

A dozen pairs of socks quoted at ₹ 180 are available at discount of 20%. How many pairs of socks can be bought for ₹ 48?

  • 4 pairs

  • 2 pairs

  • 5 pairs

  • 3 pairs

29 Views

110.

The marked price of a table is ₹ 12000. If it was sold for ₹10500 after allowing a certain discount, then the rate of discount is

  • 10%

  • 12.5%

  • 15%

  • 17.5%

31 Views

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