Multiple choice

Directions: The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) is/are sufficient necessary to answer the questions and mark your answer accordingly. In how many hour 'C' alone can fill the cistern? (A) Ratio of efficiency of A, B and C is 2:4:5 (B) A opened throughout the time, B opened for starting 10 minutes and 'C' opened after 2 minutes of closing of B. A, B and C fill equal amount of water in the cistern. (C) If A and B work alternatively, they can fill the tank in 40 minutes.

  1. Any two of them

  2. Either A and B or B and C

  3. A and B together only

  4. Any one of them

  5. Either B or A and C together
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement A provides the ratio of efficiencies, which is insufficient alone. Statement B provides information about the work done by A, B, and C, allowing for the calculation of their individual efficiencies relative to each other. Statement C allows for the calculation of the combined efficiency of A and B. Any two statements provide enough equations to solve for the individual rates and the total capacity.

AI explanation

Statement A establishes the ratio of their efficiencies but lacks actual time values, while statement B provides the operational sequence and equal distribution of work, and statement C provides the combined time of A and B. Because statement B ensures A, B and C each fill one-third of the tank, pairing it with statement A allows us to calculate the total time, and pairing it with statement C also provides the necessary baseline to solve the individual rates. Furthermore, pairing A and C easily provides the individual times since C constitutes five-fourths of A's efficiency. Therefore, any two of the three statements provide sufficient data to answer the question.

Keep practicing — related questions