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DIRECTIONS for the question: Solve the following question and mark the best possible option.
A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4th of the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?
- a)565
- b)680
- c)766
- d)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the b...
►Suppose the 1000 men were to complete the job in 4 days.
►In other words, the total work is 4000 units.
►The first 1000 units are completed in 1 day by the 1000 men.
►The second 1000 units are completed by 900 men in 1000/900 = 10/9 days and the third 1000 units are completed by 800 men in 1000/800 = 5/4 days.
►So, 3000 units of work are completed in 1 + 10/9 + 5/4 = 121/36 days.
►The remaining 1000 units should now be completed in 4 – 121/36 = 23/36 days.
►So, the number of men required to finish this work on time will be 1000 × (36/23) = 1565.2 ≈ 1566.
►Thus the foreman should hire 1566 – 800 = 766 more men.
Most Upvoted Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
To solve this question, we need to analyze the given information and calculate the number of additional men that the foreman needs to hire in order to complete the job on time.
Let's break down the given information step by step:
1. Initially, the foreman hired 1000 men to complete the job in a certain number of days.
2. The first fourth of the job went as per schedule, which means 1/4th of the job was completed.
3. After this, 100 men left, so the remaining number of men is 1000 - 100 = 900.
4. After completing 3/4th of the job, the foreman realized that another 100 men had left.
5. At this point, 1/2 of the job was completed. So, the remaining number of men is 900 - 100 = 800.
Now, let's calculate the work done by the remaining men:
- Initially, 1000 men were hired, and 1/4th of the job was completed. So, the number of men required to complete 1/4th of the job is 1000/4 = 250 men.
- After 100 men left, the remaining men completed 3/4th of the job. So, the number of men required to complete 3/4th of the job is 800 - 250 = 550 men.
Now, let's calculate the work left to be done:
- Initially, 1/4th of the job was completed, so 3/4th of the job is left.
- After 1/2 of the job was completed, 1/2 of the job is left.
- Therefore, the work left to be done is 3/4 - 1/2 = 1/4 of the job.
Let's calculate the number of men required to complete the remaining 1/4th of the job:
- Initially, 1000 men were hired to complete the job.
- After 100 men left, 900 men were remaining.
- After calculating the work done by the remaining men, we found that 550 men were required to complete 3/4th of the job.
- So, to complete 1/4th of the job, the number of men required is (550/3) * 1/4 = 137.5.
Since we cannot have a fraction of a man, we need to round up the number to the nearest whole number. Therefore, the foreman needs to hire at least 138 more men.
Hence, the correct answer is option 'c' - 766.
Let's break down the given information step by step:
1. Initially, the foreman hired 1000 men to complete the job in a certain number of days.
2. The first fourth of the job went as per schedule, which means 1/4th of the job was completed.
3. After this, 100 men left, so the remaining number of men is 1000 - 100 = 900.
4. After completing 3/4th of the job, the foreman realized that another 100 men had left.
5. At this point, 1/2 of the job was completed. So, the remaining number of men is 900 - 100 = 800.
Now, let's calculate the work done by the remaining men:
- Initially, 1000 men were hired, and 1/4th of the job was completed. So, the number of men required to complete 1/4th of the job is 1000/4 = 250 men.
- After 100 men left, the remaining men completed 3/4th of the job. So, the number of men required to complete 3/4th of the job is 800 - 250 = 550 men.
Now, let's calculate the work left to be done:
- Initially, 1/4th of the job was completed, so 3/4th of the job is left.
- After 1/2 of the job was completed, 1/2 of the job is left.
- Therefore, the work left to be done is 3/4 - 1/2 = 1/4 of the job.
Let's calculate the number of men required to complete the remaining 1/4th of the job:
- Initially, 1000 men were hired to complete the job.
- After 100 men left, 900 men were remaining.
- After calculating the work done by the remaining men, we found that 550 men were required to complete 3/4th of the job.
- So, to complete 1/4th of the job, the number of men required is (550/3) * 1/4 = 137.5.
Since we cannot have a fraction of a man, we need to round up the number to the nearest whole number. Therefore, the foreman needs to hire at least 138 more men.
Hence, the correct answer is option 'c' - 766.
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4thof the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?a)565b)680c)766d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4thof the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?a)565b)680c)766d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONSfor the question:Solve the following question and mark the best possible option.A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4thof the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?a)565b)680c)766d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and mark the best possible option.A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4thof the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?a)565b)680c)766d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
DIRECTIONSfor the question:Solve the following question and mark the best possible option.A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4thof the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?a)565b)680c)766d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONSfor the question:Solve the following question and mark the best possible option.A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4thof the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?a)565b)680c)766d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and mark the best possible option.A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4thof the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?a)565b)680c)766d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for DIRECTIONSfor the question:Solve the following question and mark the best possible option.A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4thof the job had been completed, the foreman realised that another 100 men had left after 1/2 the job had been completed. How many more men should the foreman hire so that the job is completed on time?a)565b)680c)766d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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