Question
Determine the time taken by a pipe R to empty a water
tank. Statement I: Pipe P and pipe Q can fill a water tank in 6 hours and 8 hours, respectively. If all pipes P, Q, and R are opened together, the time taken by all three pipes to fill the water tank is 120/23 hours. Statement II: Pipe P can fill the water tank in 6 hours, and the ratio of the efficiencies of pipes Q and R is 2:1. The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Solution
ATQ, Statement I: Let, the total capacity of tank be 120 units. Efficiency of P = 120/6 = 20 units/hr Efficiency of Q = 120/8 = 15 units/hr Let, the efficiency of R be 'a' units/hr. So, 120/23 = 120/(20 + 15 β a) Or, 120/23 = 120/(35 β a) Or, a = 12 Time taken by pipe R to empty the water tank = 120/12 = 10 hours So, data in statement I alone is sufficient to answer the question. Statement I: We cannot determine the relation between pipes P, Q and R. So, data in statement II alone is not sufficient to answer the question.
To reduce bias in a sampling process, which of the following strategies is most effective?
Which statistical language is widely used for performing advanced statistical operations and visualizations, particularly popular in academia and research?
You have a dataset with sales data for multiple regions and months. You want to calculate the total sales per region and then filter the regions with to...
In Python, which method in the Pandas library would you use to replace NaN values in a DataFrame with the median value of each column?
Why is sampling an essential technique in data analysis?
Which of the following is the primary reason why bias occurs in sampling?
Which of the following Excel functions is most appropriate for dynamically summarizing data from multiple tables by matching a key value?
Which data visualization tool is most suitable for creating interactive dashboards and sharing visual insights with stakeholders ?
Which of the following statements best explains why stratified sampling is preferred over simple random sampling in certain scenarios?
In time series forecasting, which of the following is true regarding the impact of autocorrelation on the model?