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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 a 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 necessary to answer
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How much time will the leak take to empty the full cistern?I. The cist...
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 = (1/9 – 1/10) =1/90
∴ Leak will empty the full cistern in 90 hours.
Clearly, both I and II are necessary to answer the question.
∴ Correct answer is (d).
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Most Upvoted Answer
How much time will the leak take to empty the full cistern?I. The cist...
Analysis:
To determine the time it will take for the leak to empty the full cistern, we need information about the normal filling time of the cistern and the additional time it takes to fill the cistern due to the leak.

Statement I: The cistern is normally filled in 9 hours.
- This statement provides information about the normal filling time of the cistern.

Statement II: It takes one hour more than the usual time to fill the cistern because of a leak in the bottom.
- This statement provides information about the additional time it takes to fill the cistern due to the leak.

Explanation:
- From statement I, we know that the cistern is normally filled in 9 hours.
- From statement II, we know that it takes one hour more than the usual time to fill the cistern because of the leak.
- Combining both statements, we can determine that the cistern is filled in 10 hours with the leak.
- Therefore, the leak will take 10 hours to empty the full cistern.

Conclusion:
- Both statements I and II are necessary to determine the time it will take for the leak to empty the full cistern.
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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 a leak in the bottom.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer?
Question Description
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 a leak in the bottom.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 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 a leak in the bottom.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 a leak in the bottom.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer?.
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