Question : A and B can do a piece of work in 8 days, B and C can do the same work in 12 days and A, B, and C complete it in 6 days. Find the number of days required to finish the work by A and C is:
Option 1: 16
Option 2: 8
Option 3: 12
Option 4: 24
New: SSC CGL 2025 Tier-1 Result
Latest: SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 8
Solution : Let the total work is 1 unit. The efficiency of A and B is $\frac{1}{8}$, the efficiency of B and C is $\frac{1}{12}$ and the efficiency of A, B, and C is $\frac{1}{6}$. Efficiency of A = Efficiency of (A, B, C) – Efficiency of (B, C) $= \frac{1}{6} – \frac{1}{12} = \frac{1}{12}$ Efficiency of C = Efficiency of (A, B, C) – Efficiency of (A, B) $= \frac{1}{6} – \frac{1}{8} = \frac{1}{24}$ Efficiency of (A + C) = Efficiency of A + Efficiency of C $= \frac{1}{12} + \frac{1}{24} = \frac{3}{24} = \frac{1}{8}$ Hence, the number of days required to finish the work by A and C is 8 days. Hence, the correct answer is 8.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : A and B can do a work in 8 days and B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in:
Option 1: 4 days
Option 2: 6 days
Option 3: 8 days
Option 4: 12 days
Question : A and B together can do a piece of work in 36 days and B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in:
Option 1: 8 days
Option 2: 16 days
Option 3: 30 days
Option 4: 32 days
Question : A and B together can finish a job in 24 days, while A, B, and C together can finish the same job in 8 days. C alone will finish the job in:
Option 1: 12 days
Option 2: 14 days
Option 3: 16 days
Option 4: 24 days
Question : A and B can do a piece of work in 18 days, B and C in 24 days and A and C in 36 days. Working together, they can do the work in:
Option 2: 13 days
Option 4: 26 days
Question : P and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, the number of days required for Q to finish the work is:
Option 1: 10 days
Option 2: 8 days
Option 3: 11 days
Option 4: 9 days
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile