Question : In a partnership firm two partners, Vijay and Praveen are working on an assignment. It will take 12 weeks for Vijay to complete the entire assignment alone, while Praveen will take 8 weeks to complete it alone. Due to work pressure, they decided to work on that assignment on an alternate weekly basis. In the first week, Praveen will work and in the second week, Vijay will work, and so on. In how many weeks the work will be completed if they work on an alternate week basis?

Option 1: 8

Option 2: 8.5

Option 3: 9.5

Option 4: 9

Question : In a factory, Ajay and Vijay work on the same machine to cut diamonds but on an alternate-hour basis. Ajay works for the first hour and then Vijay works for the second hour and so on. Ajay can complete the work in 6 hours, while Vijay completes it in 16 hours if they work individually. In how much time can they complete the work if they are using the machine on an alternate basis?

Option 1: 8 hr 30 min

Option 2: 8 hr

Option 3: 9 hr

Option 4: 9 hr 30 min

Question : Anshu, Swati, and Rajni can finish a work in 4 days if they work together. However, Anshu alone will take 9 days to complete the work, and Swati alone will complete the work in 12 days. How many days will Rajni alone take to complete the work?

Option 1: 18

Option 2: 12

Option 3: 24

Option 4: 16

Question : Ramesh alone can complete a work in 24 days. Ramesh and Somesh can complete it in 8 days. How long will Somesh alone take to complete the work?

Option 1: 10 days

Option 2: 15 days

Option 3: 14 days

Option 4: 12 days

Question : To do certain work, Ajay and Bharat work on alternate days, with Bharat starting the work on the first day. Ajay can finish the work alone in 32 days. If the work gets completed in exactly 8 days, then Bharat alone can finish 7 times the same work in _______ days.

Option 1: $\frac{28}{8}$

Option 2: $4$

Option 3: $\frac{32}{7}$

Option 4: $32$

Question : Rekha alone can complete a task in 16 days and Bina alone can complete the same task in 12 days. Starting with Rekha, they work on alternate days. The task will be completed in:

Option 1: $12 \frac{3}{4}\ \text{days}$

Option 2: $12\ \text{days}$

Option 3: $13\ \text{days}$

Option 4: $13 \frac{3}{4}\ \text{days}$