Question
Download Solution PDFA group of college students had decided to complete a project in 10 days. As 2 students dropped out every day, the project got completed at the end of the 15th day. The number of students at the beginning of the project was:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A group of college students complete a project = 10 days
Formula used:
Total work = efficiency × time
Sum of n terms = (n/2) × [a + l]
Where, n = number of terms; a = first term; l = last term
Calculation:
Let the number of students in a group initially = x
According to the question:
⇒ x + (x - 2)......(x - 28) = x × 10
⇒ (15/2) × [x + x - 28] = 10x
⇒ 3 × [2x - 28] = 4x
⇒ 6x - 84 = 4x
⇒ 2x = 84
⇒ x = 42 students
∴ The correct answer is 42 students.
Last updated on Jul 11, 2025
-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.
-> 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.
-> The RRB Railway Teacher Application Status 2025 has been released on its official website.