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Question

It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 10 minutes?

The correct answer is

4 times the draining rate

Let capacity be V. The draining rate is V/60 per minute. Filling the remaining V/2 in 10 minutes requires net inflow V/20. Thus pump rate = V/20+V/60=V/15, four times the draining rate.

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Important Questions from Data Interpretation

  1. The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?

    ExpenseAmount
    Food5,000
    Rent20,000
    Travel10,000
    Clothing3,000
    Miscellaneous15,000
    Savings7,500

  2. Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.

    Category

    2010

    2011

    Raw material

    5200

    6240

    Power & fuel

    7000

    9450

    Salary & wages

    9000

    12600

    Plant & machinery

    20000

    25000

    Advertising

    15000

    19500

    Research & Development

    22000

    26400

    In 2011, which of the following two categories have registered increase by same percentage?

  3. The time spent to study history and chemistry is 4 hours 30 minutes. Then the student studied physics for

  4. If the student studied chemistry for 3 hours, then he/she studied geography for

  5. If the student studied 10 hours in a day, then he/she studied mathematics for

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