Aptitude - Pipes and Cistern - Discussion

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

1. 

How much time will the leak take to empty the full cistern?

I. 

The cistern is normally filled in 9 hours.

 II. 

It takes one hour more than the usual time to fill the cistern because of la leak in the bottom.

[A]. I alone sufficient while II alone not sufficient to answer
[B]. II alone sufficient while I alone not sufficient to answer
[C]. Either I or II alone sufficient to answer
[D]. Both I and II are not sufficient to answer
[E]. Both I and II are necessary to answer

Answer: Option E

Explanation:

 I. Time taken to fill the cistern without leak = 9 hours.

Part of cistern filled without leak in 1 hour = 1
9

II. Time taken to fill the cistern in presence of leak = 10 hours.

Net filling in 1 hour = 1
10

Work done by leak in 1 hour = 1 - 1 = 1
9 10 90

Leak will empty the full cistern in 90 hours.

Clearly, both I and II are necessary to answer the question.

Correct answer is (E).


Shaaaaagy said: (Jan 10, 2012)  
But according to situation it seems that cistern is continuously been filled so how will it get empty and in question it is asked how much time will it take to empty the cistern.

Ram said: (Feb 15, 2012)  
Please anyone explain this.

Mohit said: (Aug 16, 2016)  
The answer should be B. Am I right?

Saravanan S said: (Jan 26, 2017)  
It is water filled tank there is no continuous source of water so it will get empty after a period of time.

In data, they provide the time for with leak and without leak to fill the tank.

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