Multiple choice

Directions: The following question consists of three statements A, B and C. You have to determine which of the following statements is/are necessary to answer the question. At the Natural dairy farm in Halwara, milk from the milking parlour is pumped into a partially-filled collection tank at a constant rate through an inlet pipe. At the same time, milk is pumped out of the collection tank at a constant rate through an outlet pipe into the BMC for further processing. At what rate, in litres per minute, is the quantity of milk in the collection tank increasing? A. The quantity of milk initially in the tank is 200 litres. B. Milk is pumped into the tank at a rate of 10 litres per minute. C. Milk is pumped out of the tank at a rate of 10 litres every two and a half minutes.

  1. A and B together are sufficient.

  2. B and C together are sufficient.

  3. A and C together are sufficient.

  4. All together are necessary.

  5. All even together are not sufficient.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find the rate of increase, we need the net flow: (Rate In - Rate Out). Statement B gives the rate in (10 L/min). Statement C gives the rate out (10 L / 2.5 min = 4 L/min). Together, these allow calculation of the net rate (10 - 4 = 6 L/min). The initial quantity (Statement A) is irrelevant to the rate of change.

AI explanation

The rate of increase in the collection tank is calculated by subtracting the milk pumped out from the milk pumped in. Statement B gives the inlet rate of 10 litres per minute, and statement C provides the outlet rate of 4 litres per minute by dividing 10 litres by 2.5 minutes. Using both statements B and C together is sufficient to find the net increase of 6 litres per minute.