Time and Work Aptitude Questions for Bank PO and SSC Exams

12 men can do a work in X days. 20 women can do the same work in (X -1) days. 15 men can do the work in y days while 30 women can do it (Y- 2) days . Find the value of X. 

The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?

If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days? 

Tarun and Uday together can complete a piece of work in 16 days; Uday and Vivek together can complete the work in 28 4/5 days; while Tarun and Vivek together can complete the work in 18 days. In how many days can Tarun alone complete the work?

Ram and Shyam can do a work in 12 days, Shyam and Hari in 15 days, and Hari and Ram in 20 days. Accordingly, in how many days can Rama alone complete that work?

A can cultivate $$2\over5$$ th of a land in 6 days and B can cultivate $$1\over3$$  of the same land in 10 days. Working together A and B can cultivate of $$4\over5$$  the land in;

12 men complete a work in 18 days. Six days after they had started working, 4 men joined them. How many days will all of them take to complete the remaining work?