Question
Two inlet pipes 'A' and 'B' can fill an empty tank in 60
minutes and 90 minutes, respectively. Another outlet pipe 'C' can empty the tank in 180 minutes. If all the three pipes are opened together, then find the time taken by them to fill the tank.Solution
Let the total capacity of the tank be 180 litres (LCM of 60, 90, and 180).
Efficiency of 'A' = 180 ÷ 60 = 3 litres/minute
Efficiency of 'B' = 180 ÷ 90 = 2 litres/minute
Efficiency of 'C' = 180 ÷ 180 = -1 litre/minute
Required time = 180 ÷ (3 + 2 - 1) = 180 ÷ 4 = 45 minutes
___________ refers to the degree of correlation of the same variables between two successive time intervals
Let X and Y be two related variables. The two regression lines are given by x-y+1=0 and 2x-y+4=0. The two regression lines pass through the point:
When we say that the estimator is BLUE. What does best signify here?
If bxy = 0.20 and rxy = 0.50, then byx is equal to:
Which of all the following is not an assumption of Marshall Consumer Theory of Demand?
Umar has the utility function U(b,w) = min (b,w) and Akshat has the utility function U(b,w) = bw. If we draw an Edgeworth box with b on the ho...
 The sum of squared deviation is minimum when taken from
For a positively sloped LM curve, which of the following statements is CORRECT?
Autocorrelated errors is about