Allied & ICAR Exam Bank • ALLIED_1831 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Three pipes P, Q, and R can fill a chemical tank in 12, 15, and 20 hours respectively. If pipe P is kept open constantly and pipes Q and R are opened alternately for one hour each starting with Q, how many hours will it take to fill the tank?

Options:

  • (A) 7 hours
  • (B) 6.5 hours
  • (C) 8 hours
  • (D) 7.5 hours

Answer Key:

A

Step-by-Step Solution & Explanation

Total capacity = 60 units. P = 5, Q = 4, R = 3. Hr 1: P+Q = 9. Hr 2: P+R = 8. In 2 hrs: 17 units. In 6 hrs: 51 units. Remaining = 9 units, filled by P+Q in 7th hr. Total time = 7 hours.
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