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Home Logical Reasoning Statement and Conclusion See What Others Are Saying!
  • Question
  • How long will it take for two pipes A and B to fill an empty cistern if they worked alternately for an hour each ? A. Working alone, Pipe A can fill the cistern in 40 hours B. Pipe B is one third as efficient as Pipe A


  • Options
  • A. Only A is sufficient
  • B. Only B is sufficient
  • C. Both (A) and (B) are sufficient
  • D. None

  • Correct Answer
  • Both (and (are sufficient 

    Explanation

    From statement A, we know that Pipe A can fill the tank in 40 hours. However, this information is not sufficient as we do not have the data for Pipe B. Hence, statement A alone cannot answer the given question.

    From statement B, we know that Pipe B is one third as efficient as pipe A. However, we do not know the rate at which Pipe A fills the tank. Hence, we will not be able to find the rate at which Pipe B fills the cistern. Therefore, statement B alone is not sufficient to answer the question.

    Now, if we combine the two statements, we know that Pipe A take 40 hours to fill the cistern.
    Pipe B takes 120 hours to fill the cistern.

    If they worked alternately, then either Pipe A could have started the cycle or Pipe B could have started the cycle.

    If Pipe A started the sequence of filling alternately, then at the end of two hours, the two pipes together would have filled 1/40 + 1/120 = 1/30  th of the tank in an hour. Or the cistern will fill in 30 hours.

    If Pipe B started the sequence, then at the end of 2 hours, the two pipes together would have filled 1/120 + 1/40 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.

    As the answer obtained irrespective of which pipe started the sequence is the same, the correct answer is (3) - i.e., both the statement are sufficient to answer the question.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO

    More questions

    • 1. People speculate when they consider a situation and assume something to be true based on inconclusive evidence. Which situation below is the best example of Speculation?

    • Options
    • A. Francine decides that it would be appropriate to wear jeans to her new office on Friday after reading about "Casual Fridays" in her employee handbook.
    • B. Mary spends thirty minutes sitting in traffic and wishes that she took the train instead of driving.
    • C. After consulting several guidebooks and her travel agent, Jennifer feels confident that the hotel she has chosen is first-rate.
    • D. When Emily opens the door in tears, Theo guesses that she's had a death in her family.
    • Discuss
    • 2. Should India become a permanent member of UN's Security Council? Arguments: I. Yes. India has emerged as a country which loves peace and amity. II. No. Let us first solve problems of our own people like poverty, malnutrition.

    • Options
    • A. Only argument I is strong
    • B. Only argument II is strong
    • C. Neither I nor II is strong
    • D. Both I and II are strong
    • Discuss
    • 3. Is the Government justified in spending so much on defence? Arguments: I. Yes. Safety of the country is of prime importance. II. No. During peace, this money could be used for the development of the country.

    • Options
    • A. Only argument I is strong
    • B. Only argument II is strong
    • C. Neither I nor II is strong
    • D. Both I and II are strong
    • Discuss
    • 4. Should high chimneys be installed in industries? Arguments: 1. Yes. It reduces pollution at ground level 2. No. It increments pollution in upper atmosphere

    • Options
    • A. Only 1 is true
    • B. Only 2 is true
    • C. Either 1 or 2 is true
    • D. Neither 1 nor 2 is true
    • Discuss
    • 5. In the question a statement is given, followed by two arguments, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given arguments, if any, is a strong argument. Statement : Should Chinese crackers be banned? Argument I : No, China will be hurt by this decision. Argument II : Yes, crackers kill insects.

    • Options
    • A. if only argument I is strong.
    • B. if only argument II is strong.
    • C. if both I and II are strong.
    • D. if neither I nor II is strong.
    • Discuss
    • 6. Should railways immeadiatly stop issuing free passes to all of its employees? Arguments: 1. No. The employees have the highest right to travel free 2. Yes. This will help railways providde better facilities

    • Options
    • A. Only 1 is true
    • B. Only 2 is true
    • C. Either 1 or 2 is true
    • D. Neither 1 nor 2 is true
    • Discuss
    • 7. Should jobs be linked with academic degrees and diplomas? Arguments: 1. No. A very large number of persons with meagre academic qualifications will apply 2. No. Importance of higher education will be diminished

    • Options
    • A. Only 1 is true
    • B. Only 2 is true
    • C. Either 1 or 2 is true
    • D. Neither 1 nor 2 is true
    • Discuss
    • 8. Should all the factories in the cities be shifted to the outskirts, far away from the main city? Arguments : I. Yes. This is an essential step for controlling pollution in the city. II. No. Such a step will lead to lot of inconvenience to the employees of the factories and their families as well

    • Options
    • A. If only argument I is strong
    • B. If only argument II is strong
    • C. If neither I nor II is strong
    • D. If both I and II are strong
    • Discuss
    • 9. Should there be an upper age limit of 65 years for contesting parlimentary/Legislative Assembly elections? Arguments: 1. Yes. Generally ,people above the age of 65 years lose their dynamism and will power 2. No. The life span is also increased that people remain physically and mentally active even upto age of 80 years

    • Options
    • A. Only 1 is true
    • B. Only 2 is true
    • C. Either 1 or 2 is true
    • D. Neither 1 nor 2 is true
    • Discuss
    • 10. Should there be a ban on affiliation of student unions to political parties? Arguments : I. Yes. The political parties take undue advantage of the student unions to fulfill their own selfish interests. II. No. Without the support of political parties student unions will not be able to survive.

    • Options
    • A. If only argument I is strong
    • B. If only argument II is strong
    • C. If neither I nor II is strong
    • D. If both I and II are strong
    • Discuss


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