GATE ME 2018 Set 2 — Question 8
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumTime & WorkQuantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Time & Work
Last updated
Question
A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?
- A.50
- B.89
- C.146
- D.175
Answer checking is unavailable for this question. You can review the published solution without a score.
Correct answer
(MARKS TO ALL)
Solution
Let be the total work to be completed in days.Step 1: Analyze the initial work done.
Number of robots,
Hours per day,
Days worked,
Work completed, The work done is proportional to the product of robots, hours, and days: .
So, --- (i)Step 2: Analyze the remaining work.
Remaining work,
Remaining time, days
New hours per day,
Let be the total number of robots required for the remaining work.
--- (ii)Step 3: Solve for .
Dividing equation (i) by (ii):Step 4: Calculate additional robots.
Additional robots required .Since is not among the given options (50, 89, 146, 175), the question is flawed. According to the official GATE 2018 answer key, this question was awarded Marks to All (MTA).
Number of robots,
Hours per day,
Days worked,
Work completed, The work done is proportional to the product of robots, hours, and days: .
So, --- (i)Step 2: Analyze the remaining work.
Remaining work,
Remaining time, days
New hours per day,
Let be the total number of robots required for the remaining work.
--- (ii)Step 3: Solve for .
Dividing equation (i) by (ii):Step 4: Calculate additional robots.
Additional robots required .Since is not among the given options (50, 89, 146, 175), the question is flawed. According to the official GATE 2018 answer key, this question was awarded Marks to All (MTA).
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Quantitative Aptitude
2026 Set 1 Q1‘The team ____ more than 300 runs in 20 overs _________ rains. However, some players needed to…2026 Set 1 Q2If a positive real satisfies the following equation then…2026 Set 1 Q3The next figure (indicated by ‘?’) in the sequence is [figure]2026 Set 1 Q4‘All the mangoes in the basket are good.’ If the above statement is false, then which one of…2026 Set 1 Q5Consider the following statements about four numbers: (S1) The average of the four numbers is 25…