Multiple choice

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is$/$are necessary to answer the question. If both the pipes are opened, how many hours will be taken to fill the tank? I. The capacity of the tank is $400$ litres. II. The pipe A fills the tank in $4$ hours. III. The pipe B fiils the tank in $6$ hours.

  1. Only I and II

  2. Only II and III

  3. All I, II and III

  4. Any two of the three

  5. Even with all the three statements, answer cannot be given
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find the time taken by two pipes together, we need their individual rates. Statement II gives pipe A's rate, and Statement III gives pipe B's rate. Statement I is redundant as the capacity cancels out.

AI explanation

To find the time for both pipes to fill the tank together, you must know how long each pipe takes individually, which requires using the rates from statements II and III. The total capacity of the tank given in statement I is not necessary because the individual times already provide the work rates needed for the calculation. Therefore, only statements II and III provide the necessary information to answer the question.

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