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Time and Work — Data Sufficiency Questions & Practice

Practise 2 Time and Work questions from Data Sufficiency for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Time and Work — with answers

Try each question first, then open the answer. Explanations are included.

1. How many days did it take to complete the work with the help of a third worker? I. A and B together were working on the project. II. A hired an additional worker to speed up completion.

AStatement I alone is sufficient, but Statement II alone is not sufficient
BStatement II alone is sufficient, but Statement I alone is not sufficient
CBoth statements I and II together are sufficient, but neither alone is sufficient
DBoth statements I and II together are not sufficient

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Answer: D

Neither statement provides any numerical rates or times for any worker, so the total days cannot be found even combined.

2. How many total man-days are required to complete a project? I. 20 workers were initially assigned to the project. II. The project has a strict deadline.

AStatement I alone is sufficient, but Statement II alone is not sufficient
BStatement II alone is sufficient, but Statement I alone is not sufficient
CBoth statements I and II together are sufficient, but neither alone is sufficient
DBoth statements I and II together are not sufficient

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Answer: D

Neither the number of workers nor the deadline detail gives the actual man-days required, since neither specifies the number of days worked or the total work quantity, so it remains indeterminate even combined.

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