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Amit can complete a piece of work in 5 hours; Jeevan and Paul together can complete It In 4 hours, while Amit and Paul together can complete It In 3 hours. Approximately, how many hours will Jeevan alone take to complete the work (rounded off to the nearest integer)?  

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. 5
  2. 6
  3. 9
  4. 8

Answer (Detailed Solution Below)

Option 3 : 9
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Detailed Solution

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Given: 

Amit can complete a piece of work in 5 hours; Jeevan and Paul together can complete It In 4 hours, while Amit and Paul together can complete It In 3 hours.

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day 

Calculation:

Let total work is 60 units ( LCM of 3,4 and 5 and 18) 

The efficiency of Amit is 60 /5 = 12 units

The efficiency of  Jeevan and Paul together is 60 / 4 = 15 units

The efficiency of Amit and Paul together is 60/3 = 20 units

The efficiency of Amit is 60 /5 = 12 units

The efficiency of paul is 20 - 12= 8units

The efficiency of Jeevan is 15 - 8 = 7 units

 Jeevan alone take to complete the work 60 / 7 = 9 hr(approx)

∴ The correct option is 3

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Last updated on Jun 25, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

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