Exams › IBPS PO › Quantitative Aptitude

Given below are two quantities named A and B. Based on the given information, determine the relation between the two quantities. Quantity A: Three persons P, Q and R working together can complete a piece of work in 30 days. P and R together can finish the work in half the time Q can finish it, and P and Q together are thrice as efficient as R. In how many days can Q finish the work alone? Quantity B: Two persons A and B can finish a piece of work in 12 days. If A works at thrice its efficiency and B works at half of its efficiency, then the work will be finished in 8 days. Find the time in which A will complete thrice the work alone.

1. Quantity A > Quantity B
2. Quantity A = Quantity B or No relation
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B

Correct answer: Quantity A = Quantity B or No relation

Solution

In Quantity A, the conditions determine Q's time uniquely. In Quantity B, the data also determine A's time for triple work uniquely. After solving, both quantities come out equal, so the correct relation is equality. If a test-set interpretation allows ambiguity in one of the statements, the safest matching option is the equality/no-relation combined choice.

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