UGC NET Questions (Paper – 1)

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U5 – Mathematical Reasoning and Aptitude
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Concepts: combined work inverse time number of workers one day work UGC NET quantitative work rate

Q: Which of the following statements about combined work rates are correct?

(A) If A alone can finish a job in 6 days and B alone can finish it in 10 days, their combined time will always be greater than 10 days;
(B) If A can finish a job in x days and B can finish it in y days, their combined work rate is (1/x + 1/y) jobs per day;
(C) If three workers have daily work rates r₁, r₂ and r₃ jobs per day, their combined rate is r₁ + r₂ + r₃ jobs per day, assuming independence;
(D) When the number of workers doubles, the time taken must always become exactly half, regardless of conditions;
(E) If one worker completes half the job, any other worker will always take exactly the same time to finish the remaining half;
Choose the correct answer from the options given below:

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